---
_id: '10413'
abstract:
- lang: eng
text: Motivated by the recent introduction of the intrinsic semilattice entropy,
we study generalized quasi-metric semilattices and their categories. We investigate
the relationship between these objects and generalized semivaluations, extending
Nakamura and Schellekens' approach. Finally, we use this correspondence to compare
the intrinsic semilattice entropy and the semigroup entropy induced in particular
situations, like sets, torsion abelian groups and vector spaces.
acknowledgement: Dedicated to the memory of Hans-Peter Künzi.
article_number: '107916'
article_processing_charge: No
article_type: original
author:
- first_name: Dikran
full_name: Dikranjan, Dikran
last_name: Dikranjan
- first_name: Anna
full_name: Giordano Bruno, Anna
last_name: Giordano Bruno
- first_name: Hans Peter
full_name: Künzi, Hans Peter
last_name: Künzi
- first_name: Nicolò
full_name: Zava, Nicolò
id: c8b3499c-7a77-11eb-b046-aa368cbbf2ad
last_name: Zava
orcid: 0000-0001-8686-1888
- first_name: Daniele
full_name: Toller, Daniele
last_name: Toller
citation:
ama: Dikranjan D, Giordano Bruno A, Künzi HP, Zava N, Toller D. Generalized quasi-metric
semilattices. Topology and its Applications. 2022;309. doi:10.1016/j.topol.2021.107916
apa: Dikranjan, D., Giordano Bruno, A., Künzi, H. P., Zava, N., & Toller, D.
(2022). Generalized quasi-metric semilattices. Topology and Its Applications.
Elsevier. https://doi.org/10.1016/j.topol.2021.107916
chicago: Dikranjan, Dikran, Anna Giordano Bruno, Hans Peter Künzi, Nicolò Zava,
and Daniele Toller. “Generalized Quasi-Metric Semilattices.” Topology and Its
Applications. Elsevier, 2022. https://doi.org/10.1016/j.topol.2021.107916.
ieee: D. Dikranjan, A. Giordano Bruno, H. P. Künzi, N. Zava, and D. Toller, “Generalized
quasi-metric semilattices,” Topology and its Applications, vol. 309. Elsevier,
2022.
ista: Dikranjan D, Giordano Bruno A, Künzi HP, Zava N, Toller D. 2022. Generalized
quasi-metric semilattices. Topology and its Applications. 309, 107916.
mla: Dikranjan, Dikran, et al. “Generalized Quasi-Metric Semilattices.” Topology
and Its Applications, vol. 309, 107916, Elsevier, 2022, doi:10.1016/j.topol.2021.107916.
short: D. Dikranjan, A. Giordano Bruno, H.P. Künzi, N. Zava, D. Toller, Topology
and Its Applications 309 (2022).
date_created: 2021-12-05T23:01:44Z
date_published: 2022-03-15T00:00:00Z
date_updated: 2023-08-02T13:33:24Z
day: '15'
department:
- _id: HeEd
doi: 10.1016/j.topol.2021.107916
external_id:
isi:
- '000791838800012'
intvolume: ' 309'
isi: 1
language:
- iso: eng
month: '03'
oa_version: None
publication: Topology and its Applications
publication_identifier:
issn:
- 0166-8641
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Generalized quasi-metric semilattices
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 309
year: '2022'
...
---
_id: '10773'
abstract:
- lang: eng
text: The Voronoi tessellation in Rd is defined by locally minimizing the power
distance to given weighted points. Symmetrically, the Delaunay mosaic can be defined
by locally maximizing the negative power distance to other such points. We prove
that the average of the two piecewise quadratic functions is piecewise linear,
and that all three functions have the same critical points and values. Discretizing
the two piecewise quadratic functions, we get the alpha shapes as sublevel sets
of the discrete function on the Delaunay mosaic, and analogous shapes as superlevel
sets of the discrete function on the Voronoi tessellation. For the same non-critical
value, the corresponding shapes are disjoint, separated by a narrow channel that
contains no critical points but the entire level set of the piecewise linear function.
acknowledgement: Open access funding provided by the Institute of Science and Technology
(IST Austria).
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Ranita
full_name: Biswas, Ranita
id: 3C2B033E-F248-11E8-B48F-1D18A9856A87
last_name: Biswas
orcid: 0000-0002-5372-7890
- first_name: Sebastiano
full_name: Cultrera Di Montesano, Sebastiano
id: 34D2A09C-F248-11E8-B48F-1D18A9856A87
last_name: Cultrera Di Montesano
orcid: 0000-0001-6249-0832
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Morteza
full_name: Saghafian, Morteza
last_name: Saghafian
citation:
ama: Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. Continuous
and discrete radius functions on Voronoi tessellations and Delaunay mosaics. Discrete
and Computational Geometry. 2022;67:811-842. doi:10.1007/s00454-022-00371-2
apa: Biswas, R., Cultrera di Montesano, S., Edelsbrunner, H., & Saghafian, M.
(2022). Continuous and discrete radius functions on Voronoi tessellations and
Delaunay mosaics. Discrete and Computational Geometry. Springer Nature.
https://doi.org/10.1007/s00454-022-00371-2
chicago: Biswas, Ranita, Sebastiano Cultrera di Montesano, Herbert Edelsbrunner,
and Morteza Saghafian. “Continuous and Discrete Radius Functions on Voronoi Tessellations
and Delaunay Mosaics.” Discrete and Computational Geometry. Springer Nature,
2022. https://doi.org/10.1007/s00454-022-00371-2.
ieee: R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Continuous
and discrete radius functions on Voronoi tessellations and Delaunay mosaics,”
Discrete and Computational Geometry, vol. 67. Springer Nature, pp. 811–842,
2022.
ista: Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. 2022. Continuous
and discrete radius functions on Voronoi tessellations and Delaunay mosaics. Discrete
and Computational Geometry. 67, 811–842.
mla: Biswas, Ranita, et al. “Continuous and Discrete Radius Functions on Voronoi
Tessellations and Delaunay Mosaics.” Discrete and Computational Geometry,
vol. 67, Springer Nature, 2022, pp. 811–42, doi:10.1007/s00454-022-00371-2.
short: R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, Discrete
and Computational Geometry 67 (2022) 811–842.
date_created: 2022-02-20T23:01:34Z
date_published: 2022-04-01T00:00:00Z
date_updated: 2023-08-02T14:31:25Z
day: '01'
ddc:
- '510'
department:
- _id: HeEd
doi: 10.1007/s00454-022-00371-2
external_id:
isi:
- '000752175300002'
file:
- access_level: open_access
checksum: 9383d3b70561bacee905e335dc922680
content_type: application/pdf
creator: dernst
date_created: 2022-08-02T06:07:55Z
date_updated: 2022-08-02T06:07:55Z
file_id: '11718'
file_name: 2022_DiscreteCompGeometry_Biswas.pdf
file_size: 2518111
relation: main_file
success: 1
file_date_updated: 2022-08-02T06:07:55Z
has_accepted_license: '1'
intvolume: ' 67'
isi: 1
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 811-842
publication: Discrete and Computational Geometry
publication_identifier:
eissn:
- 1432-0444
issn:
- 0179-5376
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Continuous and discrete radius functions on Voronoi tessellations and Delaunay
mosaics
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 67
year: '2022'
...
---
_id: '10828'
abstract:
- lang: eng
text: Digital images enable quantitative analysis of material properties at micro
and macro length scales, but choosing an appropriate resolution when acquiring
the image is challenging. A high resolution means longer image acquisition and
larger data requirements for a given sample, but if the resolution is too low,
significant information may be lost. This paper studies the impact of changes
in resolution on persistent homology, a tool from topological data analysis that
provides a signature of structure in an image across all length scales. Given
prior information about a function, the geometry of an object, or its density
distribution at a given resolution, we provide methods to select the coarsest
resolution yielding results within an acceptable tolerance. We present numerical
case studies for an illustrative synthetic example and samples from porous materials
where the theoretical bounds are unknown.
article_processing_charge: No
author:
- first_name: Teresa
full_name: Heiss, Teresa
id: 4879BB4E-F248-11E8-B48F-1D18A9856A87
last_name: Heiss
orcid: 0000-0002-1780-2689
- first_name: Sarah
full_name: Tymochko, Sarah
last_name: Tymochko
- first_name: Brittany
full_name: Story, Brittany
last_name: Story
- first_name: Adélie
full_name: Garin, Adélie
last_name: Garin
- first_name: Hoa
full_name: Bui, Hoa
last_name: Bui
- first_name: Bea
full_name: Bleile, Bea
last_name: Bleile
- first_name: Vanessa
full_name: Robins, Vanessa
last_name: Robins
citation:
ama: 'Heiss T, Tymochko S, Story B, et al. The impact of changes in resolution on
the persistent homology of images. In: 2021 IEEE International Conference on
Big Data. IEEE; 2022:3824-3834. doi:10.1109/BigData52589.2021.9671483'
apa: 'Heiss, T., Tymochko, S., Story, B., Garin, A., Bui, H., Bleile, B., &
Robins, V. (2022). The impact of changes in resolution on the persistent homology
of images. In 2021 IEEE International Conference on Big Data (pp. 3824–3834).
Orlando, FL, United States; Virtuell: IEEE. https://doi.org/10.1109/BigData52589.2021.9671483'
chicago: Heiss, Teresa, Sarah Tymochko, Brittany Story, Adélie Garin, Hoa Bui, Bea
Bleile, and Vanessa Robins. “The Impact of Changes in Resolution on the Persistent
Homology of Images.” In 2021 IEEE International Conference on Big Data,
3824–34. IEEE, 2022. https://doi.org/10.1109/BigData52589.2021.9671483.
ieee: T. Heiss et al., “The impact of changes in resolution on the persistent
homology of images,” in 2021 IEEE International Conference on Big Data,
Orlando, FL, United States; Virtuell, 2022, pp. 3824–3834.
ista: 'Heiss T, Tymochko S, Story B, Garin A, Bui H, Bleile B, Robins V. 2022. The
impact of changes in resolution on the persistent homology of images. 2021 IEEE
International Conference on Big Data. Big Data: International Conference on Big
Data, 3824–3834.'
mla: Heiss, Teresa, et al. “The Impact of Changes in Resolution on the Persistent
Homology of Images.” 2021 IEEE International Conference on Big Data, IEEE,
2022, pp. 3824–34, doi:10.1109/BigData52589.2021.9671483.
short: T. Heiss, S. Tymochko, B. Story, A. Garin, H. Bui, B. Bleile, V. Robins,
in:, 2021 IEEE International Conference on Big Data, IEEE, 2022, pp. 3824–3834.
conference:
end_date: 2021-12-18
location: Orlando, FL, United States; Virtuell
name: 'Big Data: International Conference on Big Data'
start_date: 2021-12-15
date_created: 2022-03-06T23:01:53Z
date_published: 2022-01-13T00:00:00Z
date_updated: 2023-08-02T14:44:21Z
day: '13'
department:
- _id: HeEd
doi: 10.1109/BigData52589.2021.9671483
external_id:
arxiv:
- '2111.05663'
isi:
- '000800559503126'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2111.05663
month: '01'
oa: 1
oa_version: Preprint
page: 3824-3834
publication: 2021 IEEE International Conference on Big Data
publication_identifier:
isbn:
- '9781665439022'
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: The impact of changes in resolution on the persistent homology of images
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
year: '2022'
...
---
_id: '11545'
abstract:
- lang: eng
text: "We classify contravariant pairings between standard Whittaker modules and
Verma modules over a complex semisimple Lie algebra. These contravariant pairings
are useful in extending several classical techniques for category O to the Miličić–Soergel
category N . We introduce a class of costandard modules which generalize dual
Verma modules, and describe canonical maps from standard to costandard modules
in terms of contravariant pairings.\r\nWe show that costandard modules have unique
irreducible submodules and share the same composition factors as the corresponding
standard Whittaker modules. We show that costandard modules give an algebraic
characterization of the global sections of costandard twisted Harish-Chandra sheaves
on the associated flag variety, which are defined using holonomic duality of D-modules.
We prove that with these costandard modules, blocks of category\r\nN have the
structure of highest weight categories and we establish a BGG reciprocity theorem
for N ."
acknowledgement: We thank Catharina Stroppel and Jens Niklas Eberhardt for interesting
discussions. The first author acknowledges the support of the European Union's Horizon
2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement
No. 754411. The second author is supported by the National Science Foundation Award
No. 1803059 and the Australian Research Council grant DP170101579.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Adam
full_name: Brown, Adam
id: 70B7FDF6-608D-11E9-9333-8535E6697425
last_name: Brown
- first_name: Anna
full_name: Romanov, Anna
last_name: Romanov
citation:
ama: Brown A, Romanov A. Contravariant pairings between standard Whittaker modules
and Verma modules. Journal of Algebra. 2022;609(11):145-179. doi:10.1016/j.jalgebra.2022.06.017
apa: Brown, A., & Romanov, A. (2022). Contravariant pairings between standard
Whittaker modules and Verma modules. Journal of Algebra. Elsevier. https://doi.org/10.1016/j.jalgebra.2022.06.017
chicago: Brown, Adam, and Anna Romanov. “Contravariant Pairings between Standard
Whittaker Modules and Verma Modules.” Journal of Algebra. Elsevier, 2022.
https://doi.org/10.1016/j.jalgebra.2022.06.017.
ieee: A. Brown and A. Romanov, “Contravariant pairings between standard Whittaker
modules and Verma modules,” Journal of Algebra, vol. 609, no. 11. Elsevier,
pp. 145–179, 2022.
ista: Brown A, Romanov A. 2022. Contravariant pairings between standard Whittaker
modules and Verma modules. Journal of Algebra. 609(11), 145–179.
mla: Brown, Adam, and Anna Romanov. “Contravariant Pairings between Standard Whittaker
Modules and Verma Modules.” Journal of Algebra, vol. 609, no. 11, Elsevier,
2022, pp. 145–79, doi:10.1016/j.jalgebra.2022.06.017.
short: A. Brown, A. Romanov, Journal of Algebra 609 (2022) 145–179.
date_created: 2022-07-08T11:40:07Z
date_published: 2022-11-01T00:00:00Z
date_updated: 2023-08-03T11:56:30Z
day: '01'
ddc:
- '510'
department:
- _id: HeEd
doi: 10.1016/j.jalgebra.2022.06.017
ec_funded: 1
external_id:
isi:
- '000861841100004'
file:
- access_level: open_access
checksum: 82abaee3d7837f703e499a9ecbb25b7c
content_type: application/pdf
creator: dernst
date_created: 2023-02-02T07:32:48Z
date_updated: 2023-02-02T07:32:48Z
file_id: '12473'
file_name: 2022_JournalAlgebra_Brown.pdf
file_size: 582962
relation: main_file
success: 1
file_date_updated: 2023-02-02T07:32:48Z
has_accepted_license: '1'
intvolume: ' 609'
isi: 1
issue: '11'
keyword:
- Algebra and Number Theory
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: 145-179
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: Journal of Algebra
publication_identifier:
issn:
- 0021-8693
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Contravariant pairings between standard Whittaker modules and Verma modules
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 609
year: '2022'
...
---
_id: '10754'
abstract:
- lang: eng
text: Targeting dysregulated Ca2+ signaling in cancer cells is an emerging chemotherapy
approach. We previously reported that store-operated Ca2+ entry (SOCE) blockers,
such as RP4010, are promising antitumor drugs for esophageal cancer. As a tyrosine
kinase inhibitor (TKI), afatinib received FDA approval to be used in targeted
therapy for patients with EGFR mutation-positive cancers. While preclinical studies
and clinical trials have shown that afatinib has benefits for esophageal cancer
patients, it is not known whether a combination of afatinib and RP4010 could achieve
better anticancer effects. Since TKI can alter intracellular Ca2+ dynamics through
EGFR/phospholipase C-γ pathway, in this study, we evaluated the inhibitory effect
of afatinib and RP4010 on intracellular Ca2+ oscillations in KYSE-150, a human
esophageal squamous cell carcinoma cell line, using both experimental and mathematical
simulations. Our mathematical simulation of Ca2+ oscillations could fit well with
experimental data responding to afatinib or RP4010, both separately or in combination.
Guided by simulation, we were able to identify a proper ratio of afatinib and
RP4010 for combined treatment, and such a combination presented synergistic anticancer-effect
evidence by experimental measurement of intracellular Ca2+ and cell proliferation.
This intracellular Ca2+ dynamic-based mathematical simulation approach could be
useful for a rapid and cost-effective evaluation of combined targeting therapy
drugs.
acknowledgement: "This work was partially supported by grants from National Institutes
of Health (NIH) (R01 CA185055, S10OD0252300) and The University of Texas System
STARs Award (to Z.P.),\r\nThe University of Texas at Arlington Interdisciplinary
Research Program (to B.C., H.V.K. and Z.P.). "
article_number: '1763'
article_processing_charge: Yes
article_type: original
author:
- first_name: Yan
full_name: Chang, Yan
last_name: Chang
- first_name: Marah
full_name: Funk, Marah
last_name: Funk
- first_name: Souvik
full_name: Roy, Souvik
last_name: Roy
- first_name: Elizabeth R
full_name: Stephenson, Elizabeth R
id: 2D04F932-F248-11E8-B48F-1D18A9856A87
last_name: Stephenson
orcid: 0000-0002-6862-208X
- first_name: Sangyong
full_name: Choi, Sangyong
last_name: Choi
- first_name: Hristo V.
full_name: Kojouharov, Hristo V.
last_name: Kojouharov
- first_name: Benito
full_name: Chen, Benito
last_name: Chen
- first_name: Zui
full_name: Pan, Zui
last_name: Pan
citation:
ama: Chang Y, Funk M, Roy S, et al. Developing a mathematical model of intracellular
Calcium dynamics for evaluating combined anticancer effects of afatinib and RP4010
in esophageal cancer. International Journal of Molecular Sciences. 2022;23(3).
doi:10.3390/ijms23031763
apa: Chang, Y., Funk, M., Roy, S., Stephenson, E. R., Choi, S., Kojouharov, H. V.,
… Pan, Z. (2022). Developing a mathematical model of intracellular Calcium dynamics
for evaluating combined anticancer effects of afatinib and RP4010 in esophageal
cancer. International Journal of Molecular Sciences. MDPI. https://doi.org/10.3390/ijms23031763
chicago: Chang, Yan, Marah Funk, Souvik Roy, Elizabeth R Stephenson, Sangyong Choi,
Hristo V. Kojouharov, Benito Chen, and Zui Pan. “Developing a Mathematical Model
of Intracellular Calcium Dynamics for Evaluating Combined Anticancer Effects of
Afatinib and RP4010 in Esophageal Cancer.” International Journal of Molecular
Sciences. MDPI, 2022. https://doi.org/10.3390/ijms23031763.
ieee: Y. Chang et al., “Developing a mathematical model of intracellular
Calcium dynamics for evaluating combined anticancer effects of afatinib and RP4010
in esophageal cancer,” International Journal of Molecular Sciences, vol.
23, no. 3. MDPI, 2022.
ista: Chang Y, Funk M, Roy S, Stephenson ER, Choi S, Kojouharov HV, Chen B, Pan
Z. 2022. Developing a mathematical model of intracellular Calcium dynamics for
evaluating combined anticancer effects of afatinib and RP4010 in esophageal cancer.
International Journal of Molecular Sciences. 23(3), 1763.
mla: Chang, Yan, et al. “Developing a Mathematical Model of Intracellular Calcium
Dynamics for Evaluating Combined Anticancer Effects of Afatinib and RP4010 in
Esophageal Cancer.” International Journal of Molecular Sciences, vol. 23,
no. 3, 1763, MDPI, 2022, doi:10.3390/ijms23031763.
short: Y. Chang, M. Funk, S. Roy, E.R. Stephenson, S. Choi, H.V. Kojouharov, B.
Chen, Z. Pan, International Journal of Molecular Sciences 23 (2022).
date_created: 2022-02-13T23:01:35Z
date_published: 2022-02-01T00:00:00Z
date_updated: 2023-08-09T10:17:07Z
day: '01'
ddc:
- '510'
- '576'
department:
- _id: HeEd
doi: 10.3390/ijms23031763
external_id:
isi:
- '000754773500001'
file:
- access_level: open_access
checksum: 8890ad20c54e90dc58ad5ea97c902998
content_type: application/pdf
creator: dernst
date_created: 2022-02-14T07:46:30Z
date_updated: 2022-02-14T07:46:30Z
file_id: '10756'
file_name: 2022_IJMS_Chang.pdf
file_size: 24416183
relation: main_file
success: 1
file_date_updated: 2022-02-14T07:46:30Z
has_accepted_license: '1'
intvolume: ' 23'
isi: 1
issue: '3'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
publication: International Journal of Molecular Sciences
publication_identifier:
eissn:
- '14220067'
issn:
- '16616596'
publication_status: published
publisher: MDPI
quality_controlled: '1'
scopus_import: '1'
status: public
title: Developing a mathematical model of intracellular Calcium dynamics for evaluating
combined anticancer effects of afatinib and RP4010 in esophageal cancer
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 23
year: '2022'
...
---
_id: '7791'
abstract:
- lang: eng
text: Extending a result of Milena Radnovic and Serge Tabachnikov, we establish
conditionsfor two different non-symmetric norms to define the same billiard reflection
law.
acknowledgement: AA was supported by European Research Council (ERC) under the European
Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 78818
Alpha). RK was supported by the Federal professorship program Grant 1.456.2016/1.4
and the Russian Foundation for Basic Research Grants 18-01-00036 and 19-01-00169.
Open access funding provided by Institute of Science and Technology (IST Austria).
The authors thank Alexey Balitskiy, Milena Radnović, and Serge Tabachnikov for useful
discussions.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Arseniy
full_name: Akopyan, Arseniy
id: 430D2C90-F248-11E8-B48F-1D18A9856A87
last_name: Akopyan
orcid: 0000-0002-2548-617X
- first_name: Roman
full_name: Karasev, Roman
last_name: Karasev
citation:
ama: Akopyan A, Karasev R. When different norms lead to same billiard trajectories?
European Journal of Mathematics. 2022;8(4):1309-1312. doi:10.1007/s40879-020-00405-0
apa: Akopyan, A., & Karasev, R. (2022). When different norms lead to same billiard
trajectories? European Journal of Mathematics. Springer Nature. https://doi.org/10.1007/s40879-020-00405-0
chicago: Akopyan, Arseniy, and Roman Karasev. “When Different Norms Lead to Same
Billiard Trajectories?” European Journal of Mathematics. Springer Nature,
2022. https://doi.org/10.1007/s40879-020-00405-0.
ieee: A. Akopyan and R. Karasev, “When different norms lead to same billiard trajectories?,”
European Journal of Mathematics, vol. 8, no. 4. Springer Nature, pp. 1309–1312,
2022.
ista: Akopyan A, Karasev R. 2022. When different norms lead to same billiard trajectories?
European Journal of Mathematics. 8(4), 1309–1312.
mla: Akopyan, Arseniy, and Roman Karasev. “When Different Norms Lead to Same Billiard
Trajectories?” European Journal of Mathematics, vol. 8, no. 4, Springer
Nature, 2022, pp. 1309–12, doi:10.1007/s40879-020-00405-0.
short: A. Akopyan, R. Karasev, European Journal of Mathematics 8 (2022) 1309–1312.
date_created: 2020-05-03T22:00:48Z
date_published: 2022-12-01T00:00:00Z
date_updated: 2024-02-22T15:58:42Z
day: '01'
ddc:
- '510'
department:
- _id: HeEd
doi: 10.1007/s40879-020-00405-0
ec_funded: 1
external_id:
arxiv:
- '1912.12685'
file:
- access_level: open_access
checksum: f53e71fd03744075adcd0b8fc1b8423d
content_type: application/pdf
creator: dernst
date_created: 2020-05-04T10:33:42Z
date_updated: 2020-07-14T12:48:03Z
file_id: '7796'
file_name: 2020_EuropMathematics_Akopyan.pdf
file_size: 263926
relation: main_file
file_date_updated: 2020-07-14T12:48:03Z
has_accepted_license: '1'
intvolume: ' 8'
issue: '4'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: 1309 - 1312
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '788183'
name: Alpha Shape Theory Extended
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: European Journal of Mathematics
publication_identifier:
eissn:
- 2199-6768
issn:
- 2199-675X
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: When different norms lead to same billiard trajectories?
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 8
year: '2022'
...
---
_id: '11660'
abstract:
- lang: eng
text: 'We characterize critical points of 1-dimensional maps paired in persistent
homology geometrically and this way get elementary proofs of theorems about the
symmetry of persistence diagrams and the variation of such maps. In particular,
we identify branching points and endpoints of networks as the sole source of asymmetry
and relate the cycle basis in persistent homology with a version of the stable
marriage problem. Our analysis provides the foundations of fast algorithms for
maintaining collections of interrelated sorted lists together with their persistence
diagrams. '
acknowledgement: 'This project has received funding from the European Research Council
(ERC) under the European Union’s Horizon 2020 research and innovation programme,
grant no. 788183, from the Wittgenstein Prize, Austrian Science Fund (FWF), grant
no. Z 342-N31, and from the DFG Collaborative Research Center TRR 109, ‘Discretization
in Geometry and Dynamics’, Austrian Science Fund (FWF), grant no. I 02979-N35. '
alternative_title:
- LIPIcs
article_processing_charge: No
author:
- first_name: Ranita
full_name: Biswas, Ranita
id: 3C2B033E-F248-11E8-B48F-1D18A9856A87
last_name: Biswas
orcid: 0000-0002-5372-7890
- first_name: Sebastiano
full_name: Cultrera di Montesano, Sebastiano
id: 34D2A09C-F248-11E8-B48F-1D18A9856A87
last_name: Cultrera di Montesano
orcid: 0000-0001-6249-0832
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Morteza
full_name: Saghafian, Morteza
last_name: Saghafian
citation:
ama: 'Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. A window to
the persistence of 1D maps. I: Geometric characterization of critical point pairs.
LIPIcs.'
apa: 'Biswas, R., Cultrera di Montesano, S., Edelsbrunner, H., & Saghafian,
M. (n.d.). A window to the persistence of 1D maps. I: Geometric characterization
of critical point pairs. LIPIcs. Schloss Dagstuhl - Leibniz-Zentrum für
Informatik.'
chicago: 'Biswas, Ranita, Sebastiano Cultrera di Montesano, Herbert Edelsbrunner,
and Morteza Saghafian. “A Window to the Persistence of 1D Maps. I: Geometric Characterization
of Critical Point Pairs.” LIPIcs. Schloss Dagstuhl - Leibniz-Zentrum für
Informatik, n.d.'
ieee: 'R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “A
window to the persistence of 1D maps. I: Geometric characterization of critical
point pairs,” LIPIcs. Schloss Dagstuhl - Leibniz-Zentrum für Informatik.'
ista: 'Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. A window
to the persistence of 1D maps. I: Geometric characterization of critical point
pairs. LIPIcs.'
mla: 'Biswas, Ranita, et al. “A Window to the Persistence of 1D Maps. I: Geometric
Characterization of Critical Point Pairs.” LIPIcs, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik.'
short: R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, LIPIcs
(n.d.).
date_created: 2022-07-27T09:31:15Z
date_published: 2022-07-25T00:00:00Z
date_updated: 2024-03-20T09:36:56Z
day: '25'
ddc:
- '510'
department:
- _id: GradSch
- _id: HeEd
ec_funded: 1
file:
- access_level: open_access
checksum: 95903f9d1649e8e437a967b6f2f64730
content_type: application/pdf
creator: scultrer
date_created: 2022-07-27T09:30:30Z
date_updated: 2022-07-27T09:30:30Z
file_id: '11661'
file_name: window 1.pdf
file_size: 564836
relation: main_file
file_date_updated: 2022-07-27T09:30:30Z
has_accepted_license: '1'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Submitted Version
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '788183'
name: Alpha Shape Theory Extended
- _id: 268116B8-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z00342
name: The Wittgenstein Prize
- _id: 2561EBF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: I02979-N35
name: Persistence and stability of geometric complexes
publication: LIPIcs
publication_status: submitted
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
related_material:
record:
- id: '15094'
relation: dissertation_contains
status: public
status: public
title: 'A window to the persistence of 1D maps. I: Geometric characterization of critical
point pairs'
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2022'
...
---
_id: '11658'
abstract:
- lang: eng
text: The depth of a cell in an arrangement of n (non-vertical) great-spheres in
Sd is the number of great-spheres that pass above the cell. We prove Euler-type
relations, which imply extensions of the classic Dehn–Sommerville relations for
convex polytopes to sublevel sets of the depth function, and we use the relations
to extend the expressions for the number of faces of neighborly polytopes to the
number of cells of levels in neighborly arrangements.
acknowledgement: This project has received funding from the European Research Council
(ERC) under the European Union’s Horizon 2020 research and innovation programme,
grant no. 788183, from the Wittgenstein Prize, Austrian Science Fund (FWF), grant
no. Z 342-N31, and from the DFG Collaborative Research Center TRR 109, ‘Discretization
in Geometry and Dynamics’, Austrian Science Fund (FWF), grant no. I 02979-N35.
article_processing_charge: No
author:
- first_name: Ranita
full_name: Biswas, Ranita
id: 3C2B033E-F248-11E8-B48F-1D18A9856A87
last_name: Biswas
orcid: 0000-0002-5372-7890
- first_name: Sebastiano
full_name: Cultrera di Montesano, Sebastiano
id: 34D2A09C-F248-11E8-B48F-1D18A9856A87
last_name: Cultrera di Montesano
orcid: 0000-0001-6249-0832
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Morteza
full_name: Saghafian, Morteza
id: f86f7148-b140-11ec-9577-95435b8df824
last_name: Saghafian
citation:
ama: 'Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. Depth in arrangements:
Dehn–Sommerville–Euler relations with applications. Leibniz International Proceedings
on Mathematics.'
apa: 'Biswas, R., Cultrera di Montesano, S., Edelsbrunner, H., & Saghafian,
M. (n.d.). Depth in arrangements: Dehn–Sommerville–Euler relations with applications.
Leibniz International Proceedings on Mathematics. Schloss Dagstuhl - Leibniz
Zentrum für Informatik.'
chicago: 'Biswas, Ranita, Sebastiano Cultrera di Montesano, Herbert Edelsbrunner,
and Morteza Saghafian. “Depth in Arrangements: Dehn–Sommerville–Euler Relations
with Applications.” Leibniz International Proceedings on Mathematics. Schloss
Dagstuhl - Leibniz Zentrum für Informatik, n.d.'
ieee: 'R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Depth
in arrangements: Dehn–Sommerville–Euler relations with applications,” Leibniz
International Proceedings on Mathematics. Schloss Dagstuhl - Leibniz Zentrum
für Informatik.'
ista: 'Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. Depth in
arrangements: Dehn–Sommerville–Euler relations with applications. Leibniz International
Proceedings on Mathematics.'
mla: 'Biswas, Ranita, et al. “Depth in Arrangements: Dehn–Sommerville–Euler Relations
with Applications.” Leibniz International Proceedings on Mathematics, Schloss
Dagstuhl - Leibniz Zentrum für Informatik.'
short: R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, Leibniz
International Proceedings on Mathematics (n.d.).
date_created: 2022-07-27T09:27:34Z
date_published: 2022-07-27T00:00:00Z
date_updated: 2024-03-20T09:36:56Z
day: '27'
ddc:
- '510'
department:
- _id: GradSch
- _id: HeEd
ec_funded: 1
file:
- access_level: open_access
checksum: b2f511e8b1cae5f1892b0cdec341acac
content_type: application/pdf
creator: scultrer
date_created: 2022-07-27T09:25:53Z
date_updated: 2022-07-27T09:25:53Z
file_id: '11659'
file_name: D-S-E.pdf
file_size: 639266
relation: main_file
file_date_updated: 2022-07-27T09:25:53Z
has_accepted_license: '1'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Submitted Version
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '788183'
name: Alpha Shape Theory Extended
- _id: 268116B8-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z00342
name: The Wittgenstein Prize
- _id: 2561EBF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: I02979-N35
name: Persistence and stability of geometric complexes
publication: Leibniz International Proceedings on Mathematics
publication_status: submitted
publisher: Schloss Dagstuhl - Leibniz Zentrum für Informatik
quality_controlled: '1'
related_material:
record:
- id: '15094'
relation: dissertation_contains
status: public
status: public
title: 'Depth in arrangements: Dehn–Sommerville–Euler relations with applications'
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2022'
...
---
_id: '15090'
abstract:
- lang: eng
text: Given a locally finite set A⊆Rd and a coloring χ:A→{0,1,…,s}, we introduce
the chromatic Delaunay mosaic of χ, which is a Delaunay mosaic in Rs+d that represents
how points of different colors mingle. Our main results are bounds on the size
of the chromatic Delaunay mosaic, in which we assume that d and s are constants.
For example, if A is finite with n=#A, and the coloring is random, then the chromatic
Delaunay mosaic has O(n⌈d/2⌉) cells in expectation. In contrast, for Delone sets
and Poisson point processes in Rd, the expected number of cells within a closed
ball is only a constant times the number of points in this ball. Furthermore,
in R2 all colorings of a dense set of n points have chromatic Delaunay mosaics
of size O(n). This encourages the use of chromatic Delaunay mosaics in applications.
article_number: '2212.03121'
article_processing_charge: No
author:
- first_name: Ranita
full_name: Biswas, Ranita
id: 3C2B033E-F248-11E8-B48F-1D18A9856A87
last_name: Biswas
orcid: 0000-0002-5372-7890
- first_name: Sebastiano
full_name: Cultrera di Montesano, Sebastiano
id: 34D2A09C-F248-11E8-B48F-1D18A9856A87
last_name: Cultrera di Montesano
orcid: 0000-0001-6249-0832
- first_name: Ondrej
full_name: Draganov, Ondrej
id: 2B23F01E-F248-11E8-B48F-1D18A9856A87
last_name: Draganov
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Morteza
full_name: Saghafian, Morteza
id: f86f7148-b140-11ec-9577-95435b8df824
last_name: Saghafian
citation:
ama: Biswas R, Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M.
On the size of chromatic Delaunay mosaics. arXiv.
apa: Biswas, R., Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., &
Saghafian, M. (n.d.). On the size of chromatic Delaunay mosaics. arXiv.
chicago: Biswas, Ranita, Sebastiano Cultrera di Montesano, Ondrej Draganov, Herbert
Edelsbrunner, and Morteza Saghafian. “On the Size of Chromatic Delaunay Mosaics.”
ArXiv, n.d.
ieee: R. Biswas, S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M.
Saghafian, “On the size of chromatic Delaunay mosaics,” arXiv. .
ista: Biswas R, Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M.
On the size of chromatic Delaunay mosaics. arXiv, 2212.03121.
mla: Biswas, Ranita, et al. “On the Size of Chromatic Delaunay Mosaics.” ArXiv,
2212.03121.
short: R. Biswas, S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, M. Saghafian,
ArXiv (n.d.).
date_created: 2024-03-08T09:54:20Z
date_published: 2022-12-06T00:00:00Z
date_updated: 2024-03-20T09:36:56Z
day: '06'
department:
- _id: HeEd
ec_funded: 1
external_id:
arxiv:
- '2212.03121'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2212.03121
month: '12'
oa: 1
oa_version: Preprint
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '788183'
name: Alpha Shape Theory Extended
- _id: 0aa4bc98-070f-11eb-9043-e6fff9c6a316
grant_number: I4887
name: Discretization in Geometry and Dynamics
- _id: 268116B8-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z00342
name: The Wittgenstein Prize
publication: arXiv
publication_status: submitted
related_material:
record:
- id: '15094'
relation: dissertation_contains
status: public
status: public
title: On the size of chromatic Delaunay mosaics
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: preprint
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2022'
...
---
_id: '10208'
abstract:
- lang: eng
text: It is practical to collect a huge amount of movement data and environmental
context information along with the health signals of individuals because there
is the emergence of new generations of positioning and tracking technologies and
rapid advancements of health sensors. The study of the relations between these
datasets and their sequence similarity analysis is of interest to many applications
such as health monitoring and recommender systems. However, entering all movement
parameters and health signals can lead to the complexity of the problem and an
increase in its computational load. In this situation, dimension reduction techniques
can be used to avoid consideration of simultaneous dependent parameters in the
process of similarity measurement of the trajectories. The present study provides
a framework, named CaDRAW, to use spatial–temporal data and movement parameters
along with independent context information in the process of measuring the similarity
of trajectories. In this regard, the omission of dependent movement characteristic
signals is conducted by using an unsupervised feature selection dimension reduction
technique. To evaluate the effectiveness of the proposed framework, it was applied
to a real contextualized movement and related health signal datasets of individuals.
The results indicated the capability of the proposed framework in measuring the
similarity and in decreasing the characteristic signals in such a way that the
similarity results -before and after reduction of dependent characteristic signals-
have small differences. The mean differences between the obtained results before
and after reducing the dimension were 0.029 and 0.023 for the round path, respectively.
acknowledgement: The third author acknowledges the funding received from the Wittgenstein
Prize, Austrian Science Fund (FWF), grant no. Z 342-N31.
article_processing_charge: No
article_type: original
author:
- first_name: Samira
full_name: Goudarzi, Samira
last_name: Goudarzi
- first_name: Mohammad
full_name: Sharif, Mohammad
last_name: Sharif
- first_name: Farid
full_name: Karimipour, Farid
id: 2A2BCDC4-CF62-11E9-BE5E-3B1EE6697425
last_name: Karimipour
orcid: 0000-0001-6746-4174
citation:
ama: Goudarzi S, Sharif M, Karimipour F. A context-aware dimension reduction framework
for trajectory and health signal analyses. Journal of Ambient Intelligence
and Humanized Computing. 2022;13:2621–2635. doi:10.1007/s12652-021-03569-z
apa: Goudarzi, S., Sharif, M., & Karimipour, F. (2022). A context-aware dimension
reduction framework for trajectory and health signal analyses. Journal of Ambient
Intelligence and Humanized Computing. Springer Nature. https://doi.org/10.1007/s12652-021-03569-z
chicago: Goudarzi, Samira, Mohammad Sharif, and Farid Karimipour. “A Context-Aware
Dimension Reduction Framework for Trajectory and Health Signal Analyses.” Journal
of Ambient Intelligence and Humanized Computing. Springer Nature, 2022. https://doi.org/10.1007/s12652-021-03569-z.
ieee: S. Goudarzi, M. Sharif, and F. Karimipour, “A context-aware dimension reduction
framework for trajectory and health signal analyses,” Journal of Ambient Intelligence
and Humanized Computing, vol. 13. Springer Nature, pp. 2621–2635, 2022.
ista: Goudarzi S, Sharif M, Karimipour F. 2022. A context-aware dimension reduction
framework for trajectory and health signal analyses. Journal of Ambient Intelligence
and Humanized Computing. 13, 2621–2635.
mla: Goudarzi, Samira, et al. “A Context-Aware Dimension Reduction Framework for
Trajectory and Health Signal Analyses.” Journal of Ambient Intelligence and
Humanized Computing, vol. 13, Springer Nature, 2022, pp. 2621–2635, doi:10.1007/s12652-021-03569-z.
short: S. Goudarzi, M. Sharif, F. Karimipour, Journal of Ambient Intelligence and
Humanized Computing 13 (2022) 2621–2635.
date_created: 2021-11-02T09:28:55Z
date_published: 2022-05-01T00:00:00Z
date_updated: 2023-08-02T13:31:48Z
day: '01'
ddc:
- '000'
department:
- _id: HeEd
doi: 10.1007/s12652-021-03569-z
external_id:
isi:
- '000712198000001'
file:
- access_level: open_access
checksum: 0a8961416a9bb2be5a1cebda65468bcf
content_type: application/pdf
creator: fkarimip
date_created: 2021-11-12T19:38:05Z
date_updated: 2022-12-20T23:30:08Z
embargo: 2022-11-12
file_id: '10279'
file_name: A Context‑aware Dimension Reduction Framework - Journal of Ambient Intelligence
2021 (Preprint version).pdf
file_size: 1634958
relation: main_file
file_date_updated: 2022-12-20T23:30:08Z
has_accepted_license: '1'
intvolume: ' 13'
isi: 1
keyword:
- general computer science
language:
- iso: eng
month: '05'
oa: 1
oa_version: Submitted Version
page: 2621–2635
project:
- _id: 268116B8-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z00342
name: The Wittgenstein Prize
publication: Journal of Ambient Intelligence and Humanized Computing
publication_identifier:
eissn:
- 1868-5145
issn:
- 1868-5137
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: A context-aware dimension reduction framework for trajectory and health signal
analyses
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 13
year: '2022'
...
---
_id: '10071'
alternative_title:
- Early Career
article_processing_charge: No
article_type: letter_note
author:
- first_name: Henry
full_name: Adams, Henry
last_name: Adams
- first_name: Hana
full_name: Kourimska, Hana
id: D9B8E14C-3C26-11EA-98F5-1F833DDC885E
last_name: Kourimska
- first_name: Teresa
full_name: Heiss, Teresa
id: 4879BB4E-F248-11E8-B48F-1D18A9856A87
last_name: Heiss
orcid: 0000-0002-1780-2689
- first_name: Sarah
full_name: Percival, Sarah
last_name: Percival
- first_name: Lori
full_name: Ziegelmeier, Lori
last_name: Ziegelmeier
citation:
ama: Adams H, Kourimska H, Heiss T, Percival S, Ziegelmeier L. How to tutorial-a-thon.
Notices of the American Mathematical Society. 2021;68(9):1511-1514. doi:10.1090/noti2349
apa: Adams, H., Kourimska, H., Heiss, T., Percival, S., & Ziegelmeier, L. (2021).
How to tutorial-a-thon. Notices of the American Mathematical Society. American
Mathematical Society. https://doi.org/10.1090/noti2349
chicago: Adams, Henry, Hana Kourimska, Teresa Heiss, Sarah Percival, and Lori Ziegelmeier.
“How to Tutorial-a-Thon.” Notices of the American Mathematical Society.
American Mathematical Society, 2021. https://doi.org/10.1090/noti2349.
ieee: H. Adams, H. Kourimska, T. Heiss, S. Percival, and L. Ziegelmeier, “How to
tutorial-a-thon,” Notices of the American Mathematical Society, vol. 68,
no. 9. American Mathematical Society, pp. 1511–1514, 2021.
ista: Adams H, Kourimska H, Heiss T, Percival S, Ziegelmeier L. 2021. How to tutorial-a-thon.
Notices of the American Mathematical Society. 68(9), 1511–1514.
mla: Adams, Henry, et al. “How to Tutorial-a-Thon.” Notices of the American Mathematical
Society, vol. 68, no. 9, American Mathematical Society, 2021, pp. 1511–14,
doi:10.1090/noti2349.
short: H. Adams, H. Kourimska, T. Heiss, S. Percival, L. Ziegelmeier, Notices of
the American Mathematical Society 68 (2021) 1511–1514.
date_created: 2021-10-03T22:01:22Z
date_published: 2021-10-01T00:00:00Z
date_updated: 2021-12-03T07:31:26Z
day: '01'
department:
- _id: HeEd
doi: 10.1090/noti2349
intvolume: ' 68'
issue: '9'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://www.ams.org/notices/
month: '10'
oa: 1
oa_version: Published Version
page: 1511-1514
publication: Notices of the American Mathematical Society
publication_identifier:
eissn:
- 1088-9477
issn:
- 0002-9920
publication_status: published
publisher: American Mathematical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: How to tutorial-a-thon
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 68
year: '2021'
...
---
_id: '10367'
abstract:
- lang: eng
text: How information is created, shared and consumed has changed rapidly in recent
decades, in part thanks to new social platforms and technologies on the web. With
ever-larger amounts of unstructured and limited labels, organizing and reconciling
information from different sources and modalities is a central challenge in machine
learning. This cutting-edge tutorial aims to introduce the multimodal entailment
task, which can be useful for detecting semantic alignments when a single modality
alone does not suffice for a whole content understanding. Starting with a brief
overview of natural language processing, computer vision, structured data and
neural graph learning, we lay the foundations for the multimodal sections to follow.
We then discuss recent multimodal learning literature covering visual, audio and
language streams, and explore case studies focusing on tasks which require fine-grained
understanding of visual and linguistic semantics question answering, veracity
and hatred classification. Finally, we introduce a new dataset for recognizing
multimodal entailment, exploring it in a hands-on collaborative section. Overall,
this tutorial gives an overview of multimodal learning, introduces a multimodal
entailment dataset, and encourages future research in the topic.
acknowledgement: "We would like to thank Abby Schantz, Abe Ittycheriah, Aliaksei Severyn,
Allan Heydon, Aly\r\nGrealish, Andrey Vlasov, Arkaitz Zubiaga, Ashwin Kakarla, Chen
Sun, Clayton Williams, Cong\r\nYu, Cordelia Schmid, Da-Cheng Juan, Dan Finnie, Dani
Valevski, Daniel Rocha, David Price, David Sklar, Devi Krishna, Elena Kochkina,
Enrique Alfonseca, Franc¸oise Beaufays, Isabelle Augenstein, Jialu Liu, John Cantwell,
John Palowitch, Jordan Boyd-Graber, Lei Shi, Luis Valente, Maria Voitovich, Mehmet
Aktuna, Mogan Brown, Mor Naaman, Natalia P, Nidhi Hebbar, Pete Aykroyd, Rahul Sukthankar,
Richa Dixit, Steve Pucci, Tania Bedrax-Weiss, Tobias Kaufmann, Tom Boulos, Tu Tsao,
Vladimir Chtchetkine, Yair Kurzion, Yifan Xu and Zach Hynes."
article_processing_charge: No
author:
- first_name: Cesar
full_name: Ilharco, Cesar
last_name: Ilharco
- first_name: Afsaneh
full_name: Shirazi, Afsaneh
last_name: Shirazi
- first_name: Arjun
full_name: Gopalan, Arjun
last_name: Gopalan
- first_name: Arsha
full_name: Nagrani, Arsha
last_name: Nagrani
- first_name: Blaž
full_name: Bratanič, Blaž
last_name: Bratanič
- first_name: Chris
full_name: Bregler, Chris
last_name: Bregler
- first_name: Christina
full_name: Liu, Christina
last_name: Liu
- first_name: Felipe
full_name: Ferreira, Felipe
last_name: Ferreira
- first_name: Gabriek
full_name: Barcik, Gabriek
last_name: Barcik
- first_name: Gabriel
full_name: Ilharco, Gabriel
last_name: Ilharco
- first_name: Georg F
full_name: Osang, Georg F
id: 464B40D6-F248-11E8-B48F-1D18A9856A87
last_name: Osang
- first_name: Jannis
full_name: Bulian, Jannis
last_name: Bulian
- first_name: Jared
full_name: Frank, Jared
last_name: Frank
- first_name: Lucas
full_name: Smaira, Lucas
last_name: Smaira
- first_name: Qin
full_name: Cao, Qin
last_name: Cao
- first_name: Ricardo
full_name: Marino, Ricardo
last_name: Marino
- first_name: Roma
full_name: Patel, Roma
last_name: Patel
- first_name: Thomas
full_name: Leung, Thomas
last_name: Leung
- first_name: Vaiva
full_name: Imbrasaite, Vaiva
last_name: Imbrasaite
citation:
ama: 'Ilharco C, Shirazi A, Gopalan A, et al. Recognizing multimodal entailment.
In: 59th Annual Meeting of the Association for Computational Linguistics and
the 11th International Joint Conference on Natural Language Processing, Tutorial
Abstracts. Association for Computational Linguistics; 2021:29-30. doi:10.18653/v1/2021.acl-tutorials.6'
apa: 'Ilharco, C., Shirazi, A., Gopalan, A., Nagrani, A., Bratanič, B., Bregler,
C., … Imbrasaite, V. (2021). Recognizing multimodal entailment. In 59th Annual
Meeting of the Association for Computational Linguistics and the 11th International
Joint Conference on Natural Language Processing, Tutorial Abstracts (pp. 29–30).
Bangkok, Thailand: Association for Computational Linguistics. https://doi.org/10.18653/v1/2021.acl-tutorials.6'
chicago: Ilharco, Cesar, Afsaneh Shirazi, Arjun Gopalan, Arsha Nagrani, Blaž Bratanič,
Chris Bregler, Christina Liu, et al. “Recognizing Multimodal Entailment.” In 59th
Annual Meeting of the Association for Computational Linguistics and the 11th International
Joint Conference on Natural Language Processing, Tutorial Abstracts, 29–30.
Association for Computational Linguistics, 2021. https://doi.org/10.18653/v1/2021.acl-tutorials.6.
ieee: C. Ilharco et al., “Recognizing multimodal entailment,” in 59th
Annual Meeting of the Association for Computational Linguistics and the 11th International
Joint Conference on Natural Language Processing, Tutorial Abstracts, Bangkok,
Thailand, 2021, pp. 29–30.
ista: 'Ilharco C, Shirazi A, Gopalan A, Nagrani A, Bratanič B, Bregler C, Liu C,
Ferreira F, Barcik G, Ilharco G, Osang GF, Bulian J, Frank J, Smaira L, Cao Q,
Marino R, Patel R, Leung T, Imbrasaite V. 2021. Recognizing multimodal entailment.
59th Annual Meeting of the Association for Computational Linguistics and the 11th
International Joint Conference on Natural Language Processing, Tutorial Abstracts.
ACL: Association for Computational Linguistics ; IJCNLP: International Joint Conference
on Natural Language Processing, 29–30.'
mla: Ilharco, Cesar, et al. “Recognizing Multimodal Entailment.” 59th Annual
Meeting of the Association for Computational Linguistics and the 11th International
Joint Conference on Natural Language Processing, Tutorial Abstracts, Association
for Computational Linguistics, 2021, pp. 29–30, doi:10.18653/v1/2021.acl-tutorials.6.
short: C. Ilharco, A. Shirazi, A. Gopalan, A. Nagrani, B. Bratanič, C. Bregler,
C. Liu, F. Ferreira, G. Barcik, G. Ilharco, G.F. Osang, J. Bulian, J. Frank, L.
Smaira, Q. Cao, R. Marino, R. Patel, T. Leung, V. Imbrasaite, in:, 59th Annual
Meeting of the Association for Computational Linguistics and the 11th International
Joint Conference on Natural Language Processing, Tutorial Abstracts, Association
for Computational Linguistics, 2021, pp. 29–30.
conference:
end_date: 2021-08-06
location: Bangkok, Thailand
name: 'ACL: Association for Computational Linguistics ; IJCNLP: International Joint
Conference on Natural Language Processing'
start_date: 2021-08-01
date_created: 2021-11-28T23:01:30Z
date_published: 2021-08-01T00:00:00Z
date_updated: 2022-01-26T14:26:36Z
day: '01'
ddc:
- '000'
department:
- _id: HeEd
doi: 10.18653/v1/2021.acl-tutorials.6
file:
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checksum: b14052a025a6ecf675bdfe51db98c0d7
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has_accepted_license: '1'
language:
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main_file_link:
- open_access: '1'
url: https://aclanthology.org/2021.acl-tutorials.6/
month: '08'
oa: 1
oa_version: Published Version
page: 29-30
publication: 59th Annual Meeting of the Association for Computational Linguistics
and the 11th International Joint Conference on Natural Language Processing, Tutorial
Abstracts
publication_identifier:
isbn:
- 9-781-9540-8557-2
publication_status: published
publisher: Association for Computational Linguistics
quality_controlled: '1'
scopus_import: '1'
status: public
title: Recognizing multimodal entailment
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2021'
...
---
_id: '10608'
abstract:
- lang: eng
text: We consider infinite-dimensional properties in coarse geometry for hyperspaces
consisting of finite subsets of metric spaces with the Hausdorff metric. We see
that several infinite-dimensional properties are preserved by taking the hyperspace
of subsets with at most n points. On the other hand, we prove that, if a metric
space contains a sequence of long intervals coarsely, then its hyperspace of finite
subsets is not coarsely embeddable into any uniformly convex Banach space. As
a corollary, the hyperspace of finite subsets of the real line is not coarsely
embeddable into any uniformly convex Banach space. It is also shown that every
(not necessarily bounded geometry) metric space with straight finite decomposition
complexity has metric sparsification property.
acknowledgement: We would like to thank the referees for their careful reading and
the comments that improved our work. The third named author would like to thank
the Division of Mathematics, Physics and Earth Sciences of the Graduate School of
Science and Engineering of Ehime University and the second named author for hosting
his visit in June 2018. Open access funding provided by Institute of Science and
Technology (IST Austria).
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Thomas
full_name: Weighill, Thomas
last_name: Weighill
- first_name: Takamitsu
full_name: Yamauchi, Takamitsu
last_name: Yamauchi
- first_name: Nicolò
full_name: Zava, Nicolò
id: c8b3499c-7a77-11eb-b046-aa368cbbf2ad
last_name: Zava
citation:
ama: Weighill T, Yamauchi T, Zava N. Coarse infinite-dimensionality of hyperspaces
of finite subsets. European Journal of Mathematics. 2021. doi:10.1007/s40879-021-00515-3
apa: Weighill, T., Yamauchi, T., & Zava, N. (2021). Coarse infinite-dimensionality
of hyperspaces of finite subsets. European Journal of Mathematics. Springer
Nature. https://doi.org/10.1007/s40879-021-00515-3
chicago: Weighill, Thomas, Takamitsu Yamauchi, and Nicolò Zava. “Coarse Infinite-Dimensionality
of Hyperspaces of Finite Subsets.” European Journal of Mathematics. Springer
Nature, 2021. https://doi.org/10.1007/s40879-021-00515-3.
ieee: T. Weighill, T. Yamauchi, and N. Zava, “Coarse infinite-dimensionality of
hyperspaces of finite subsets,” European Journal of Mathematics. Springer
Nature, 2021.
ista: Weighill T, Yamauchi T, Zava N. 2021. Coarse infinite-dimensionality of hyperspaces
of finite subsets. European Journal of Mathematics.
mla: Weighill, Thomas, et al. “Coarse Infinite-Dimensionality of Hyperspaces of
Finite Subsets.” European Journal of Mathematics, Springer Nature, 2021,
doi:10.1007/s40879-021-00515-3.
short: T. Weighill, T. Yamauchi, N. Zava, European Journal of Mathematics (2021).
date_created: 2022-01-09T23:01:27Z
date_published: 2021-12-30T00:00:00Z
date_updated: 2022-01-10T08:36:55Z
day: '30'
ddc:
- '500'
department:
- _id: HeEd
doi: 10.1007/s40879-021-00515-3
file:
- access_level: open_access
checksum: c435dcfa1ad3aadc5cdd7366bc7f4e98
content_type: application/pdf
creator: cchlebak
date_created: 2022-01-10T08:33:22Z
date_updated: 2022-01-10T08:33:22Z
file_id: '10610'
file_name: 2021_EuJournalMath_Weighill.pdf
file_size: 384908
relation: main_file
success: 1
file_date_updated: 2022-01-10T08:33:22Z
has_accepted_license: '1'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
publication: European Journal of Mathematics
publication_identifier:
eissn:
- 2199-6768
issn:
- 2199-675X
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Coarse infinite-dimensionality of hyperspaces of finite subsets
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2021'
...
---
_id: '9296'
abstract:
- lang: eng
text: ' matching is compatible to two or more labeled point sets of size n with
labels {1,…,n} if its straight-line drawing on each of these point sets is
crossing-free. We study the maximum number of edges in a matching compatible to
two or more labeled point sets in general position in the plane. We show that
for any two labeled convex sets of n points there exists a compatible matching
with ⌊2n−−√⌋ edges. More generally, for any ℓ labeled point sets we construct
compatible matchings of size Ω(n1/ℓ) . As a corresponding upper bound, we use
probabilistic arguments to show that for any ℓ given sets of n points there
exists a labeling of each set such that the largest compatible matching has O(n2/(ℓ+1)) edges.
Finally, we show that Θ(logn) copies of any set of n points are necessary and
sufficient for the existence of a labeling such that any compatible matching consists
only of a single edge.'
acknowledgement: 'A.A. funded by the Marie Skłodowska-Curie grant agreement No. 754411.
Z.M. partially funded by Wittgenstein Prize, Austrian Science Fund (FWF), grant
no. Z 342-N31. I.P., D.P., and B.V. partially supported by FWF within the collaborative
DACH project Arrangements and Drawings as FWF project I 3340-N35. A.P. supported
by a Schrödinger fellowship of the FWF: J-3847-N35. J.T. partially supported by
ERC Start grant no. (279307: Graph Games), FWF grant no. P23499-N23 and S11407-N23
(RiSE).'
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Oswin
full_name: Aichholzer, Oswin
last_name: Aichholzer
- first_name: Alan M
full_name: Arroyo Guevara, Alan M
id: 3207FDC6-F248-11E8-B48F-1D18A9856A87
last_name: Arroyo Guevara
orcid: 0000-0003-2401-8670
- first_name: Zuzana
full_name: Masárová, Zuzana
id: 45CFE238-F248-11E8-B48F-1D18A9856A87
last_name: Masárová
orcid: 0000-0002-6660-1322
- first_name: Irene
full_name: Parada, Irene
last_name: Parada
- first_name: Daniel
full_name: Perz, Daniel
last_name: Perz
- first_name: Alexander
full_name: Pilz, Alexander
last_name: Pilz
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
- first_name: Birgit
full_name: Vogtenhuber, Birgit
last_name: Vogtenhuber
citation:
ama: 'Aichholzer O, Arroyo Guevara AM, Masárová Z, et al. On compatible matchings.
In: 15th International Conference on Algorithms and Computation. Vol 12635.
Springer Nature; 2021:221-233. doi:10.1007/978-3-030-68211-8_18'
apa: 'Aichholzer, O., Arroyo Guevara, A. M., Masárová, Z., Parada, I., Perz, D.,
Pilz, A., … Vogtenhuber, B. (2021). On compatible matchings. In 15th International
Conference on Algorithms and Computation (Vol. 12635, pp. 221–233). Yangon,
Myanmar: Springer Nature. https://doi.org/10.1007/978-3-030-68211-8_18'
chicago: Aichholzer, Oswin, Alan M Arroyo Guevara, Zuzana Masárová, Irene Parada,
Daniel Perz, Alexander Pilz, Josef Tkadlec, and Birgit Vogtenhuber. “On Compatible
Matchings.” In 15th International Conference on Algorithms and Computation,
12635:221–33. Springer Nature, 2021. https://doi.org/10.1007/978-3-030-68211-8_18.
ieee: O. Aichholzer et al., “On compatible matchings,” in 15th International
Conference on Algorithms and Computation, Yangon, Myanmar, 2021, vol. 12635,
pp. 221–233.
ista: 'Aichholzer O, Arroyo Guevara AM, Masárová Z, Parada I, Perz D, Pilz A, Tkadlec
J, Vogtenhuber B. 2021. On compatible matchings. 15th International Conference
on Algorithms and Computation. WALCOM: Algorithms and Computation, LNCS, vol.
12635, 221–233.'
mla: Aichholzer, Oswin, et al. “On Compatible Matchings.” 15th International
Conference on Algorithms and Computation, vol. 12635, Springer Nature, 2021,
pp. 221–33, doi:10.1007/978-3-030-68211-8_18.
short: O. Aichholzer, A.M. Arroyo Guevara, Z. Masárová, I. Parada, D. Perz, A. Pilz,
J. Tkadlec, B. Vogtenhuber, in:, 15th International Conference on Algorithms and
Computation, Springer Nature, 2021, pp. 221–233.
conference:
end_date: 2021-03-02
location: Yangon, Myanmar
name: 'WALCOM: Algorithms and Computation'
start_date: 2021-02-28
date_created: 2021-03-28T22:01:41Z
date_published: 2021-02-16T00:00:00Z
date_updated: 2023-02-21T16:33:44Z
day: '16'
department:
- _id: UlWa
- _id: HeEd
- _id: KrCh
doi: 10.1007/978-3-030-68211-8_18
ec_funded: 1
external_id:
arxiv:
- '2101.03928'
intvolume: ' 12635'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2101.03928
month: '02'
oa: 1
oa_version: Preprint
page: 221-233
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
- _id: 268116B8-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z00342
name: The Wittgenstein Prize
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
publication: 15th International Conference on Algorithms and Computation
publication_identifier:
eissn:
- '16113349'
isbn:
- '9783030682101'
issn:
- '03029743'
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '11938'
relation: later_version
status: public
scopus_import: '1'
status: public
title: On compatible matchings
type: conference
user_id: D865714E-FA4E-11E9-B85B-F5C5E5697425
volume: 12635
year: '2021'
...
---
_id: '9465'
abstract:
- lang: eng
text: "Given a locally finite set \U0001D44B⊆ℝ\U0001D451 and an integer \U0001D458≥0,
we consider the function \U0001D430\U0001D458:Del\U0001D458(\U0001D44B)→ℝ on the
dual of the order-k Voronoi tessellation, whose sublevel sets generalize the notion
of alpha shapes from order-1 to order-k (Edelsbrunner et al. in IEEE Trans Inf
Theory IT-29:551–559, 1983; Krasnoshchekov and Polishchuk in Inf Process Lett
114:76–83, 2014). While this function is not necessarily generalized discrete
Morse, in the sense of Forman (Adv Math 134:90–145, 1998) and Freij (Discrete
Math 309:3821–3829, 2009), we prove that it satisfies similar properties so that
its increments can be meaningfully classified into critical and non-critical steps.
This result extends to the case of weighted points and sheds light on k-fold covers
with balls in Euclidean space."
article_number: '15'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Anton
full_name: Nikitenko, Anton
id: 3E4FF1BA-F248-11E8-B48F-1D18A9856A87
last_name: Nikitenko
- first_name: Georg F
full_name: Osang, Georg F
id: 464B40D6-F248-11E8-B48F-1D18A9856A87
last_name: Osang
citation:
ama: Edelsbrunner H, Nikitenko A, Osang GF. A step in the Delaunay mosaic of order
k. Journal of Geometry. 2021;112(1). doi:10.1007/s00022-021-00577-4
apa: Edelsbrunner, H., Nikitenko, A., & Osang, G. F. (2021). A step in the Delaunay
mosaic of order k. Journal of Geometry. Springer Nature. https://doi.org/10.1007/s00022-021-00577-4
chicago: Edelsbrunner, Herbert, Anton Nikitenko, and Georg F Osang. “A Step in the
Delaunay Mosaic of Order K.” Journal of Geometry. Springer Nature, 2021.
https://doi.org/10.1007/s00022-021-00577-4.
ieee: H. Edelsbrunner, A. Nikitenko, and G. F. Osang, “A step in the Delaunay mosaic
of order k,” Journal of Geometry, vol. 112, no. 1. Springer Nature, 2021.
ista: Edelsbrunner H, Nikitenko A, Osang GF. 2021. A step in the Delaunay mosaic
of order k. Journal of Geometry. 112(1), 15.
mla: Edelsbrunner, Herbert, et al. “A Step in the Delaunay Mosaic of Order K.” Journal
of Geometry, vol. 112, no. 1, 15, Springer Nature, 2021, doi:10.1007/s00022-021-00577-4.
short: H. Edelsbrunner, A. Nikitenko, G.F. Osang, Journal of Geometry 112 (2021).
date_created: 2021-06-06T22:01:29Z
date_published: 2021-04-01T00:00:00Z
date_updated: 2022-05-12T11:41:45Z
day: '01'
ddc:
- '510'
department:
- _id: HeEd
doi: 10.1007/s00022-021-00577-4
file:
- access_level: open_access
checksum: e52a832f1def52a2b23d21bcc09e646f
content_type: application/pdf
creator: kschuh
date_created: 2021-06-11T13:16:26Z
date_updated: 2021-06-11T13:16:26Z
file_id: '9544'
file_name: 2021_Geometry_Edelsbrunner.pdf
file_size: 694706
relation: main_file
success: 1
file_date_updated: 2021-06-11T13:16:26Z
has_accepted_license: '1'
intvolume: ' 112'
issue: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
publication: Journal of Geometry
publication_identifier:
eissn:
- '14208997'
issn:
- '00472468'
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: A step in the Delaunay mosaic of order k
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 112
year: '2021'
...
---
_id: '9345'
abstract:
- lang: eng
text: Modeling a crystal as a periodic point set, we present a fingerprint consisting
of density functionsthat facilitates the efficient search for new materials and
material properties. We prove invarianceunder isometries, continuity, and completeness
in the generic case, which are necessary featuresfor the reliable comparison of
crystals. The proof of continuity integrates methods from discretegeometry and
lattice theory, while the proof of generic completeness combines techniques fromgeometry
with analysis. The fingerprint has a fast algorithm based on Brillouin zones and
relatedinclusion-exclusion formulae. We have implemented the algorithm and describe
its application tocrystal structure prediction.
acknowledgement: The authors thank Janos Pach for insightful discussions on the topic
of thispaper, Morteza Saghafian for finding the one-dimensional counterexample mentioned
in Section 5,and Larry Andrews for generously sharing his crystallographic perspective.
alternative_title:
- LIPIcs
article_processing_charge: No
author:
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Teresa
full_name: Heiss, Teresa
id: 4879BB4E-F248-11E8-B48F-1D18A9856A87
last_name: Heiss
orcid: 0000-0002-1780-2689
- first_name: Vitaliy
full_name: ' Kurlin , Vitaliy'
last_name: ' Kurlin '
- first_name: Philip
full_name: Smith, Philip
last_name: Smith
- first_name: Mathijs
full_name: Wintraecken, Mathijs
id: 307CFBC8-F248-11E8-B48F-1D18A9856A87
last_name: Wintraecken
orcid: 0000-0002-7472-2220
citation:
ama: 'Edelsbrunner H, Heiss T, Kurlin V, Smith P, Wintraecken M. The density fingerprint
of a periodic point set. In: 37th International Symposium on Computational
Geometry (SoCG 2021). Vol 189. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
2021:32:1-32:16. doi:10.4230/LIPIcs.SoCG.2021.32'
apa: 'Edelsbrunner, H., Heiss, T., Kurlin , V., Smith, P., & Wintraecken, M.
(2021). The density fingerprint of a periodic point set. In 37th International
Symposium on Computational Geometry (SoCG 2021) (Vol. 189, p. 32:1-32:16).
Virtual: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2021.32'
chicago: Edelsbrunner, Herbert, Teresa Heiss, Vitaliy Kurlin , Philip Smith, and
Mathijs Wintraecken. “The Density Fingerprint of a Periodic Point Set.” In 37th
International Symposium on Computational Geometry (SoCG 2021), 189:32:1-32:16.
Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021. https://doi.org/10.4230/LIPIcs.SoCG.2021.32.
ieee: H. Edelsbrunner, T. Heiss, V. Kurlin , P. Smith, and M. Wintraecken, “The
density fingerprint of a periodic point set,” in 37th International Symposium
on Computational Geometry (SoCG 2021), Virtual, 2021, vol. 189, p. 32:1-32:16.
ista: 'Edelsbrunner H, Heiss T, Kurlin V, Smith P, Wintraecken M. 2021. The density
fingerprint of a periodic point set. 37th International Symposium on Computational
Geometry (SoCG 2021). SoCG: Symposium on Computational Geometry, LIPIcs, vol.
189, 32:1-32:16.'
mla: Edelsbrunner, Herbert, et al. “The Density Fingerprint of a Periodic Point
Set.” 37th International Symposium on Computational Geometry (SoCG 2021),
vol. 189, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021, p. 32:1-32:16,
doi:10.4230/LIPIcs.SoCG.2021.32.
short: H. Edelsbrunner, T. Heiss, V. Kurlin , P. Smith, M. Wintraecken, in:, 37th
International Symposium on Computational Geometry (SoCG 2021), Schloss Dagstuhl
- Leibniz-Zentrum für Informatik, 2021, p. 32:1-32:16.
conference:
end_date: 2021-06-11
location: Virtual
name: 'SoCG: Symposium on Computational Geometry'
start_date: 2021-06-07
date_created: 2021-04-22T08:09:58Z
date_published: 2021-06-02T00:00:00Z
date_updated: 2023-02-23T13:55:40Z
day: '02'
ddc:
- '004'
- '516'
department:
- _id: HeEd
doi: 10.4230/LIPIcs.SoCG.2021.32
ec_funded: 1
file:
- access_level: open_access
checksum: 1787baef1523d6d93753b90d0c109a6d
content_type: application/pdf
creator: mwintrae
date_created: 2021-04-22T08:08:14Z
date_updated: 2021-04-22T08:08:14Z
file_id: '9346'
file_name: df_socg_final_version.pdf
file_size: 3117435
relation: main_file
success: 1
file_date_updated: 2021-04-22T08:08:14Z
has_accepted_license: '1'
intvolume: ' 189'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 32:1-32:16
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '788183'
name: Alpha Shape Theory Extended
- _id: 0aa4bc98-070f-11eb-9043-e6fff9c6a316
grant_number: I4887
name: Discretization in Geometry and Dynamics
- _id: 25C5A090-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z00312
name: The Wittgenstein Prize
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: 37th International Symposium on Computational Geometry (SoCG 2021)
publication_identifier:
issn:
- 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
status: public
title: The density fingerprint of a periodic point set
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: D865714E-FA4E-11E9-B85B-F5C5E5697425
volume: 189
year: '2021'
...
---
_id: '9604'
abstract:
- lang: eng
text: Generalizing Lee’s inductive argument for counting the cells of higher order
Voronoi tessellations in ℝ² to ℝ³, we get precise relations in terms of Morse
theoretic quantities for piecewise constant functions on planar arrangements.
Specifically, we prove that for a generic set of n ≥ 5 points in ℝ³, the number
of regions in the order-k Voronoi tessellation is N_{k-1} - binom(k,2)n + n, for
1 ≤ k ≤ n-1, in which N_{k-1} is the sum of Euler characteristics of these function’s
first k-1 sublevel sets. We get similar expressions for the vertices, edges, and
polygons of the order-k Voronoi tessellation.
alternative_title:
- LIPIcs
article_number: '16'
article_processing_charge: No
author:
- first_name: Ranita
full_name: Biswas, Ranita
id: 3C2B033E-F248-11E8-B48F-1D18A9856A87
last_name: Biswas
orcid: 0000-0002-5372-7890
- first_name: Sebastiano
full_name: Cultrera di Montesano, Sebastiano
id: 34D2A09C-F248-11E8-B48F-1D18A9856A87
last_name: Cultrera di Montesano
orcid: 0000-0001-6249-0832
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Morteza
full_name: Saghafian, Morteza
last_name: Saghafian
citation:
ama: 'Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. Counting cells
of order-k voronoi tessellations in ℝ3 with morse theory. In: Leibniz
International Proceedings in Informatics. Vol 189. Schloss Dagstuhl - Leibniz-Zentrum
für Informatik; 2021. doi:10.4230/LIPIcs.SoCG.2021.16'
apa: 'Biswas, R., Cultrera di Montesano, S., Edelsbrunner, H., & Saghafian,
M. (2021). Counting cells of order-k voronoi tessellations in ℝ3 with
morse theory. In Leibniz International Proceedings in Informatics (Vol.
189). Online: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2021.16'
chicago: Biswas, Ranita, Sebastiano Cultrera di Montesano, Herbert Edelsbrunner,
and Morteza Saghafian. “Counting Cells of Order-k Voronoi Tessellations in ℝ3
with Morse Theory.” In Leibniz International Proceedings in Informatics,
Vol. 189. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021. https://doi.org/10.4230/LIPIcs.SoCG.2021.16.
ieee: R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Counting
cells of order-k voronoi tessellations in ℝ3 with morse theory,” in
Leibniz International Proceedings in Informatics, Online, 2021, vol. 189.
ista: 'Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. 2021. Counting
cells of order-k voronoi tessellations in ℝ3 with morse theory. Leibniz
International Proceedings in Informatics. SoCG: International Symposium on Computational
Geometry, LIPIcs, vol. 189, 16.'
mla: Biswas, Ranita, et al. “Counting Cells of Order-k Voronoi Tessellations in
ℝ3 with Morse Theory.” Leibniz International Proceedings in Informatics,
vol. 189, 16, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021, doi:10.4230/LIPIcs.SoCG.2021.16.
short: R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, in:,
Leibniz International Proceedings in Informatics, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2021.
conference:
end_date: 2021-06-11
location: Online
name: 'SoCG: International Symposium on Computational Geometry'
start_date: 2021-06-07
date_created: 2021-06-27T22:01:48Z
date_published: 2021-06-02T00:00:00Z
date_updated: 2023-02-23T14:02:28Z
day: '02'
ddc:
- '516'
department:
- _id: HeEd
doi: 10.4230/LIPIcs.SoCG.2021.16
ec_funded: 1
file:
- access_level: open_access
checksum: 22b11a719018b22ecba2471b51f2eb40
content_type: application/pdf
creator: asandaue
date_created: 2021-06-28T13:11:39Z
date_updated: 2021-06-28T13:11:39Z
file_id: '9611'
file_name: 2021_LIPIcs_Biswas.pdf
file_size: 727817
relation: main_file
success: 1
file_date_updated: 2021-06-28T13:11:39Z
has_accepted_license: '1'
intvolume: ' 189'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '788183'
name: Alpha Shape Theory Extended
- _id: 268116B8-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z00342
name: The Wittgenstein Prize
- _id: 0aa4bc98-070f-11eb-9043-e6fff9c6a316
grant_number: I4887
name: Discretization in Geometry and Dynamics
publication: Leibniz International Proceedings in Informatics
publication_identifier:
isbn:
- '9783959771849'
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Counting cells of order-k voronoi tessellations in ℝ3 with morse
theory
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: D865714E-FA4E-11E9-B85B-F5C5E5697425
volume: 189
year: '2021'
...
---
_id: '9824'
abstract:
- lang: eng
text: We define a new compact coordinate system in which each integer triplet addresses
a voxel in the BCC grid, and we investigate some of its properties. We propose
a characterization of 3D discrete analytical planes with their topological features
(in the Cartesian and in the new coordinate system) such as the interrelation
between the thickness of the plane and the separability constraint we aim to obtain.
acknowledgement: 'This work has been partially supported by the Ministry of Education,
Science and Technological Development of the Republic of Serbia through the project
no. 451-03-68/2020-14/200156: “Innovative scientific and artistic research from
the FTS (activity) domain” (LČ), the European Research Council (ERC) under the European
Union’s Horizon 2020 research and innovation programme, grant no. 788183 (RB), and
the DFG Collaborative Research Center TRR 109, ‘Discretization in Geometry and Dynamics’,
Austrian Science Fund (FWF), grant no. I 02979-N35 (RB).'
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Lidija
full_name: Čomić, Lidija
last_name: Čomić
- first_name: Rita
full_name: Zrour, Rita
last_name: Zrour
- first_name: Gaëlle
full_name: Largeteau-Skapin, Gaëlle
last_name: Largeteau-Skapin
- first_name: Ranita
full_name: Biswas, Ranita
id: 3C2B033E-F248-11E8-B48F-1D18A9856A87
last_name: Biswas
orcid: 0000-0002-5372-7890
- first_name: Eric
full_name: Andres, Eric
last_name: Andres
citation:
ama: 'Čomić L, Zrour R, Largeteau-Skapin G, Biswas R, Andres E. Body centered cubic
grid - coordinate system and discrete analytical plane definition. In: Discrete
Geometry and Mathematical Morphology. Vol 12708. Springer Nature; 2021:152-163.
doi:10.1007/978-3-030-76657-3_10'
apa: 'Čomić, L., Zrour, R., Largeteau-Skapin, G., Biswas, R., & Andres, E. (2021).
Body centered cubic grid - coordinate system and discrete analytical plane definition.
In Discrete Geometry and Mathematical Morphology (Vol. 12708, pp. 152–163).
Uppsala, Sweden: Springer Nature. https://doi.org/10.1007/978-3-030-76657-3_10'
chicago: Čomić, Lidija, Rita Zrour, Gaëlle Largeteau-Skapin, Ranita Biswas, and
Eric Andres. “Body Centered Cubic Grid - Coordinate System and Discrete Analytical
Plane Definition.” In Discrete Geometry and Mathematical Morphology, 12708:152–63.
Springer Nature, 2021. https://doi.org/10.1007/978-3-030-76657-3_10.
ieee: L. Čomić, R. Zrour, G. Largeteau-Skapin, R. Biswas, and E. Andres, “Body centered
cubic grid - coordinate system and discrete analytical plane definition,” in Discrete
Geometry and Mathematical Morphology, Uppsala, Sweden, 2021, vol. 12708, pp.
152–163.
ista: 'Čomić L, Zrour R, Largeteau-Skapin G, Biswas R, Andres E. 2021. Body centered
cubic grid - coordinate system and discrete analytical plane definition. Discrete
Geometry and Mathematical Morphology. DGMM: International Conference on Discrete
Geometry and Mathematical Morphology, LNCS, vol. 12708, 152–163.'
mla: Čomić, Lidija, et al. “Body Centered Cubic Grid - Coordinate System and Discrete
Analytical Plane Definition.” Discrete Geometry and Mathematical Morphology,
vol. 12708, Springer Nature, 2021, pp. 152–63, doi:10.1007/978-3-030-76657-3_10.
short: L. Čomić, R. Zrour, G. Largeteau-Skapin, R. Biswas, E. Andres, in:, Discrete
Geometry and Mathematical Morphology, Springer Nature, 2021, pp. 152–163.
conference:
end_date: 2021-05-27
location: Uppsala, Sweden
name: 'DGMM: International Conference on Discrete Geometry and Mathematical Morphology'
start_date: 2021-05-24
date_created: 2021-08-08T22:01:29Z
date_published: 2021-05-16T00:00:00Z
date_updated: 2022-05-31T06:58:21Z
day: '16'
department:
- _id: HeEd
doi: 10.1007/978-3-030-76657-3_10
ec_funded: 1
intvolume: ' 12708'
language:
- iso: eng
month: '05'
oa_version: None
page: 152-163
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '788183'
name: Alpha Shape Theory Extended
- _id: 2561EBF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: I02979-N35
name: Persistence and stability of geometric complexes
publication: Discrete Geometry and Mathematical Morphology
publication_identifier:
eissn:
- '16113349'
isbn:
- '9783030766566'
issn:
- '03029743'
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Body centered cubic grid - coordinate system and discrete analytical plane
definition
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 12708
year: '2021'
...
---
_id: '8317'
abstract:
- lang: eng
text: When can a polyomino piece of paper be folded into a unit cube? Prior work
studied tree-like polyominoes, but polyominoes with holes remain an intriguing
open problem. We present sufficient conditions for a polyomino with one or several
holes to fold into a cube, and conditions under which cube folding is impossible.
In particular, we show that all but five special “basic” holes guarantee foldability.
acknowledgement: This research was performed in part at the 33rd Bellairs Winter Workshop
on Computational Geometry. We thank all other participants for a fruitful atmosphere.
H. Akitaya was supported by NSF CCF-1422311 & 1423615. Z. Masárová was partially
funded by Wittgenstein Prize, Austrian Science Fund (FWF), grant no. Z 342-N31.
article_number: '101700'
article_processing_charge: No
article_type: original
author:
- first_name: Oswin
full_name: Aichholzer, Oswin
last_name: Aichholzer
- first_name: Hugo A.
full_name: Akitaya, Hugo A.
last_name: Akitaya
- first_name: Kenneth C.
full_name: Cheung, Kenneth C.
last_name: Cheung
- first_name: Erik D.
full_name: Demaine, Erik D.
last_name: Demaine
- first_name: Martin L.
full_name: Demaine, Martin L.
last_name: Demaine
- first_name: Sándor P.
full_name: Fekete, Sándor P.
last_name: Fekete
- first_name: Linda
full_name: Kleist, Linda
last_name: Kleist
- first_name: Irina
full_name: Kostitsyna, Irina
last_name: Kostitsyna
- first_name: Maarten
full_name: Löffler, Maarten
last_name: Löffler
- first_name: Zuzana
full_name: Masárová, Zuzana
id: 45CFE238-F248-11E8-B48F-1D18A9856A87
last_name: Masárová
orcid: 0000-0002-6660-1322
- first_name: Klara
full_name: Mundilova, Klara
last_name: Mundilova
- first_name: Christiane
full_name: Schmidt, Christiane
last_name: Schmidt
citation:
ama: 'Aichholzer O, Akitaya HA, Cheung KC, et al. Folding polyominoes with holes
into a cube. Computational Geometry: Theory and Applications. 2021;93.
doi:10.1016/j.comgeo.2020.101700'
apa: 'Aichholzer, O., Akitaya, H. A., Cheung, K. C., Demaine, E. D., Demaine, M.
L., Fekete, S. P., … Schmidt, C. (2021). Folding polyominoes with holes into a
cube. Computational Geometry: Theory and Applications. Elsevier. https://doi.org/10.1016/j.comgeo.2020.101700'
chicago: 'Aichholzer, Oswin, Hugo A. Akitaya, Kenneth C. Cheung, Erik D. Demaine,
Martin L. Demaine, Sándor P. Fekete, Linda Kleist, et al. “Folding Polyominoes
with Holes into a Cube.” Computational Geometry: Theory and Applications.
Elsevier, 2021. https://doi.org/10.1016/j.comgeo.2020.101700.'
ieee: 'O. Aichholzer et al., “Folding polyominoes with holes into a cube,”
Computational Geometry: Theory and Applications, vol. 93. Elsevier, 2021.'
ista: 'Aichholzer O, Akitaya HA, Cheung KC, Demaine ED, Demaine ML, Fekete SP, Kleist
L, Kostitsyna I, Löffler M, Masárová Z, Mundilova K, Schmidt C. 2021. Folding
polyominoes with holes into a cube. Computational Geometry: Theory and Applications.
93, 101700.'
mla: 'Aichholzer, Oswin, et al. “Folding Polyominoes with Holes into a Cube.” Computational
Geometry: Theory and Applications, vol. 93, 101700, Elsevier, 2021, doi:10.1016/j.comgeo.2020.101700.'
short: 'O. Aichholzer, H.A. Akitaya, K.C. Cheung, E.D. Demaine, M.L. Demaine, S.P.
Fekete, L. Kleist, I. Kostitsyna, M. Löffler, Z. Masárová, K. Mundilova, C. Schmidt,
Computational Geometry: Theory and Applications 93 (2021).'
date_created: 2020-08-30T22:01:09Z
date_published: 2021-02-01T00:00:00Z
date_updated: 2023-08-04T10:57:42Z
day: '01'
department:
- _id: HeEd
doi: 10.1016/j.comgeo.2020.101700
external_id:
arxiv:
- '1910.09917'
isi:
- '000579185100004'
intvolume: ' 93'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1910.09917v3
month: '02'
oa: 1
oa_version: Preprint
project:
- _id: 268116B8-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z00342
name: The Wittgenstein Prize
publication: 'Computational Geometry: Theory and Applications'
publication_identifier:
issn:
- '09257721'
publication_status: published
publisher: Elsevier
quality_controlled: '1'
related_material:
record:
- id: '6989'
relation: shorter_version
status: public
scopus_import: '1'
status: public
title: Folding polyominoes with holes into a cube
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 93
year: '2021'
...
---
_id: '8773'
abstract:
- lang: eng
text: Let g be a complex semisimple Lie algebra. We give a classification of contravariant
forms on the nondegenerate Whittaker g-modules Y(χ,η) introduced by Kostant. We
prove that the set of all contravariant forms on Y(χ,η) forms a vector space whose
dimension is given by the cardinality of the Weyl group of g. We also describe
a procedure for parabolically inducing contravariant forms. As a corollary, we
deduce the existence of the Shapovalov form on a Verma module, and provide a formula
for the dimension of the space of contravariant forms on the degenerate Whittaker
modules M(χ,η) introduced by McDowell.
acknowledgement: "We would like to thank Peter Trapa for useful discussions, and Dragan
Milicic and Arun Ram for valuable feedback on the structure of the paper. The first
author acknowledges the support of the European Unions Horizon 2020 research and
innovation programme under the Marie Skodowska-Curie Grant Agreement No. 754411.
The second author is\r\nsupported by the National Science Foundation Award No. 1803059."
article_processing_charge: No
article_type: original
author:
- first_name: Adam
full_name: Brown, Adam
id: 70B7FDF6-608D-11E9-9333-8535E6697425
last_name: Brown
- first_name: Anna
full_name: Romanov, Anna
last_name: Romanov
citation:
ama: Brown A, Romanov A. Contravariant forms on Whittaker modules. Proceedings
of the American Mathematical Society. 2021;149(1):37-52. doi:10.1090/proc/15205
apa: Brown, A., & Romanov, A. (2021). Contravariant forms on Whittaker modules.
Proceedings of the American Mathematical Society. American Mathematical
Society. https://doi.org/10.1090/proc/15205
chicago: Brown, Adam, and Anna Romanov. “Contravariant Forms on Whittaker Modules.”
Proceedings of the American Mathematical Society. American Mathematical
Society, 2021. https://doi.org/10.1090/proc/15205.
ieee: A. Brown and A. Romanov, “Contravariant forms on Whittaker modules,” Proceedings
of the American Mathematical Society, vol. 149, no. 1. American Mathematical
Society, pp. 37–52, 2021.
ista: Brown A, Romanov A. 2021. Contravariant forms on Whittaker modules. Proceedings
of the American Mathematical Society. 149(1), 37–52.
mla: Brown, Adam, and Anna Romanov. “Contravariant Forms on Whittaker Modules.”
Proceedings of the American Mathematical Society, vol. 149, no. 1, American
Mathematical Society, 2021, pp. 37–52, doi:10.1090/proc/15205.
short: A. Brown, A. Romanov, Proceedings of the American Mathematical Society 149
(2021) 37–52.
date_created: 2020-11-19T10:17:40Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2023-08-04T11:11:47Z
day: '01'
department:
- _id: HeEd
doi: 10.1090/proc/15205
ec_funded: 1
external_id:
arxiv:
- '1910.08286'
isi:
- '000600416300004'
intvolume: ' 149'
isi: 1
issue: '1'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1910.08286
month: '01'
oa: 1
oa_version: Preprint
page: 37-52
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: Proceedings of the American Mathematical Society
publication_identifier:
eissn:
- 1088-6826
issn:
- 0002-9939
publication_status: published
publisher: American Mathematical Society
quality_controlled: '1'
status: public
title: Contravariant forms on Whittaker modules
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 149
year: '2021'
...