---
_id: '7991'
abstract:
- lang: eng
text: 'We define and study a discrete process that generalizes the convex-layer
decomposition of a planar point set. Our process, which we call homotopic curve
shortening (HCS), starts with a closed curve (which might self-intersect) in the
presence of a set P⊂ ℝ² of point obstacles, and evolves in discrete steps, where
each step consists of (1) taking shortcuts around the obstacles, and (2) reducing
the curve to its shortest homotopic equivalent. We find experimentally that, if
the initial curve is held fixed and P is chosen to be either a very fine regular
grid or a uniformly random point set, then HCS behaves at the limit like the affine
curve-shortening flow (ACSF). This connection between HCS and ACSF generalizes
the link between "grid peeling" and the ACSF observed by Eppstein et al. (2017),
which applied only to convex curves, and which was studied only for regular grids.
We prove that HCS satisfies some properties analogous to those of ACSF: HCS is
invariant under affine transformations, preserves convexity, and does not increase
the total absolute curvature. Furthermore, the number of self-intersections of
a curve, or intersections between two curves (appropriately defined), does not
increase. Finally, if the initial curve is simple, then the number of inflection
points (appropriately defined) does not increase.'
alternative_title:
- LIPIcs
article_number: 12:1 - 12:15
article_processing_charge: No
author:
- first_name: Sergey
full_name: Avvakumov, Sergey
id: 3827DAC8-F248-11E8-B48F-1D18A9856A87
last_name: Avvakumov
- first_name: Gabriel
full_name: Nivasch, Gabriel
last_name: Nivasch
citation:
ama: 'Avvakumov S, Nivasch G. Homotopic curve shortening and the affine curve-shortening
flow. In: 36th International Symposium on Computational Geometry. Vol 164.
Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.SoCG.2020.12'
apa: 'Avvakumov, S., & Nivasch, G. (2020). Homotopic curve shortening and the
affine curve-shortening flow. In 36th International Symposium on Computational
Geometry (Vol. 164). Zürich, Switzerland: Schloss Dagstuhl - Leibniz-Zentrum
für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2020.12'
chicago: Avvakumov, Sergey, and Gabriel Nivasch. “Homotopic Curve Shortening and
the Affine Curve-Shortening Flow.” In 36th International Symposium on Computational
Geometry, Vol. 164. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
https://doi.org/10.4230/LIPIcs.SoCG.2020.12.
ieee: S. Avvakumov and G. Nivasch, “Homotopic curve shortening and the affine curve-shortening
flow,” in 36th International Symposium on Computational Geometry, Zürich,
Switzerland, 2020, vol. 164.
ista: 'Avvakumov S, Nivasch G. 2020. Homotopic curve shortening and the affine curve-shortening
flow. 36th International Symposium on Computational Geometry. SoCG: Symposium
on Computational Geometry, LIPIcs, vol. 164, 12:1-12:15.'
mla: Avvakumov, Sergey, and Gabriel Nivasch. “Homotopic Curve Shortening and the
Affine Curve-Shortening Flow.” 36th International Symposium on Computational
Geometry, vol. 164, 12:1-12:15, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2020, doi:10.4230/LIPIcs.SoCG.2020.12.
short: S. Avvakumov, G. Nivasch, in:, 36th International Symposium on Computational
Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
conference:
end_date: 2020-06-26
location: Zürich, Switzerland
name: 'SoCG: Symposium on Computational Geometry'
start_date: 2020-06-22
date_created: 2020-06-22T09:14:19Z
date_published: 2020-06-01T00:00:00Z
date_updated: 2021-01-12T08:16:23Z
day: '01'
ddc:
- '510'
department:
- _id: UlWa
doi: 10.4230/LIPIcs.SoCG.2020.12
external_id:
arxiv:
- '1909.00263'
file:
- access_level: open_access
checksum: 6872df6549142f709fb6354a1b2f2c06
content_type: application/pdf
creator: dernst
date_created: 2020-06-23T11:13:49Z
date_updated: 2020-07-14T12:48:06Z
file_id: '8007'
file_name: 2020_LIPIcsSoCG_Avvakumov.pdf
file_size: 575896
relation: main_file
file_date_updated: 2020-07-14T12:48:06Z
has_accepted_license: '1'
intvolume: ' 164'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/3.0/
month: '06'
oa: 1
oa_version: Published Version
project:
- _id: 26611F5C-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P31312
name: Algorithms for Embeddings and Homotopy Theory
publication: 36th International Symposium on Computational Geometry
publication_identifier:
isbn:
- '9783959771436'
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Homotopic curve shortening and the affine curve-shortening flow
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
short: CC BY (3.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 164
year: '2020'
...
---
_id: '7989'
abstract:
- lang: eng
text: 'We prove general topological Radon-type theorems for sets in ℝ^d, smooth
real manifolds or finite dimensional simplicial complexes. Combined with a recent
result of Holmsen and Lee, it gives fractional Helly theorem, and consequently
the existence of weak ε-nets as well as a (p,q)-theorem. More precisely: Let X
be either ℝ^d, smooth real d-manifold, or a finite d-dimensional simplicial complex.
Then if F is a finite, intersection-closed family of sets in X such that the ith
reduced Betti number (with ℤ₂ coefficients) of any set in F is at most b for every
non-negative integer i less or equal to k, then the Radon number of F is bounded
in terms of b and X. Here k is the smallest integer larger or equal to d/2 - 1
if X = ℝ^d; k=d-1 if X is a smooth real d-manifold and not a surface, k=0 if X
is a surface and k=d if X is a d-dimensional simplicial complex. Using the recent
result of the author and Kalai, we manage to prove the following optimal bound
on fractional Helly number for families of open sets in a surface: Let F be a
finite family of open sets in a surface S such that the intersection of any subfamily
of F is either empty, or path-connected. Then the fractional Helly number of F
is at most three. This also settles a conjecture of Holmsen, Kim, and Lee about
an existence of a (p,q)-theorem for open subsets of a surface.'
alternative_title:
- LIPIcs
article_number: 61:1-61:13
article_processing_charge: No
author:
- first_name: Zuzana
full_name: Patakova, Zuzana
id: 48B57058-F248-11E8-B48F-1D18A9856A87
last_name: Patakova
orcid: 0000-0002-3975-1683
citation:
ama: 'Patakova Z. Bounding radon number via Betti numbers. In: 36th International
Symposium on Computational Geometry. Vol 164. Schloss Dagstuhl - Leibniz-Zentrum
für Informatik; 2020. doi:10.4230/LIPIcs.SoCG.2020.61'
apa: 'Patakova, Z. (2020). Bounding radon number via Betti numbers. In 36th International
Symposium on Computational Geometry (Vol. 164). Zürich, Switzerland: Schloss
Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2020.61'
chicago: Patakova, Zuzana. “Bounding Radon Number via Betti Numbers.” In 36th
International Symposium on Computational Geometry, Vol. 164. Schloss Dagstuhl
- Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.SoCG.2020.61.
ieee: Z. Patakova, “Bounding radon number via Betti numbers,” in 36th International
Symposium on Computational Geometry, Zürich, Switzerland, 2020, vol. 164.
ista: 'Patakova Z. 2020. Bounding radon number via Betti numbers. 36th International
Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry,
LIPIcs, vol. 164, 61:1-61:13.'
mla: Patakova, Zuzana. “Bounding Radon Number via Betti Numbers.” 36th International
Symposium on Computational Geometry, vol. 164, 61:1-61:13, Schloss Dagstuhl
- Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.SoCG.2020.61.
short: Z. Patakova, in:, 36th International Symposium on Computational Geometry,
Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
conference:
end_date: 2020-06-26
location: Zürich, Switzerland
name: 'SoCG: Symposium on Computational Geometry'
start_date: 2020-06-22
date_created: 2020-06-22T09:14:18Z
date_published: 2020-06-01T00:00:00Z
date_updated: 2021-01-12T08:16:22Z
day: '01'
ddc:
- '510'
department:
- _id: UlWa
doi: 10.4230/LIPIcs.SoCG.2020.61
external_id:
arxiv:
- '1908.01677'
file:
- access_level: open_access
checksum: d0996ca5f6eb32ce955ce782b4f2afbe
content_type: application/pdf
creator: dernst
date_created: 2020-06-23T06:56:23Z
date_updated: 2020-07-14T12:48:06Z
file_id: '8005'
file_name: 2020_LIPIcsSoCG_Patakova_61.pdf
file_size: 645421
relation: main_file
file_date_updated: 2020-07-14T12:48:06Z
has_accepted_license: '1'
intvolume: ' 164'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '06'
oa: 1
oa_version: Published Version
publication: 36th International Symposium on Computational Geometry
publication_identifier:
isbn:
- '9783959771436'
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Bounding radon number via Betti numbers
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: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 164
year: '2020'
...
---
_id: '7992'
abstract:
- lang: eng
text: 'Let K be a convex body in ℝⁿ (i.e., a compact convex set with nonempty interior).
Given a point p in the interior of K, a hyperplane h passing through p is called
barycentric if p is the barycenter of K ∩ h. In 1961, Grünbaum raised the question
whether, for every K, there exists an interior point p through which there are
at least n+1 distinct barycentric hyperplanes. Two years later, this was seemingly
resolved affirmatively by showing that this is the case if p=p₀ is the point of
maximal depth in K. However, while working on a related question, we noticed that
one of the auxiliary claims in the proof is incorrect. Here, we provide a counterexample;
this re-opens Grünbaum’s question. It follows from known results that for n ≥
2, there are always at least three distinct barycentric cuts through the point
p₀ ∈ K of maximal depth. Using tools related to Morse theory we are able to improve
this bound: four distinct barycentric cuts through p₀ are guaranteed if n ≥ 3.'
alternative_title:
- LIPIcs
article_number: 62:1 - 62:16
article_processing_charge: No
author:
- first_name: Zuzana
full_name: Patakova, Zuzana
id: 48B57058-F248-11E8-B48F-1D18A9856A87
last_name: Patakova
orcid: 0000-0002-3975-1683
- first_name: Martin
full_name: Tancer, Martin
id: 38AC689C-F248-11E8-B48F-1D18A9856A87
last_name: Tancer
orcid: 0000-0002-1191-6714
- first_name: Uli
full_name: Wagner, Uli
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
citation:
ama: 'Patakova Z, Tancer M, Wagner U. Barycentric cuts through a convex body. In:
36th International Symposium on Computational Geometry. Vol 164. Schloss
Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.SoCG.2020.62'
apa: 'Patakova, Z., Tancer, M., & Wagner, U. (2020). Barycentric cuts through
a convex body. In 36th International Symposium on Computational Geometry
(Vol. 164). Zürich, Switzerland: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
https://doi.org/10.4230/LIPIcs.SoCG.2020.62'
chicago: Patakova, Zuzana, Martin Tancer, and Uli Wagner. “Barycentric Cuts through
a Convex Body.” In 36th International Symposium on Computational Geometry,
Vol. 164. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.SoCG.2020.62.
ieee: Z. Patakova, M. Tancer, and U. Wagner, “Barycentric cuts through a convex
body,” in 36th International Symposium on Computational Geometry, Zürich,
Switzerland, 2020, vol. 164.
ista: 'Patakova Z, Tancer M, Wagner U. 2020. Barycentric cuts through a convex body.
36th International Symposium on Computational Geometry. SoCG: Symposium on Computational
Geometry, LIPIcs, vol. 164, 62:1-62:16.'
mla: Patakova, Zuzana, et al. “Barycentric Cuts through a Convex Body.” 36th
International Symposium on Computational Geometry, vol. 164, 62:1-62:16, Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.SoCG.2020.62.
short: Z. Patakova, M. Tancer, U. Wagner, in:, 36th International Symposium on Computational
Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
conference:
end_date: 2020-06-26
location: Zürich, Switzerland
name: 'SoCG: Symposium on Computational Geometry'
start_date: 2020-06-22
date_created: 2020-06-22T09:14:20Z
date_published: 2020-06-01T00:00:00Z
date_updated: 2021-01-12T08:16:23Z
day: '01'
ddc:
- '510'
department:
- _id: UlWa
doi: 10.4230/LIPIcs.SoCG.2020.62
external_id:
arxiv:
- '2003.13536'
file:
- access_level: open_access
checksum: ce1c9194139a664fb59d1efdfc88eaae
content_type: application/pdf
creator: dernst
date_created: 2020-06-23T06:45:52Z
date_updated: 2020-07-14T12:48:06Z
file_id: '8004'
file_name: 2020_LIPIcsSoCG_Patakova.pdf
file_size: 750318
relation: main_file
file_date_updated: 2020-07-14T12:48:06Z
has_accepted_license: '1'
intvolume: ' 164'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
publication: 36th International Symposium on Computational Geometry
publication_identifier:
isbn:
- '9783959771436'
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: 1
status: public
title: Barycentric cuts through a convex body
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: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 164
year: '2020'
...
---
_id: '7994'
abstract:
- lang: eng
text: In the recent study of crossing numbers, drawings of graphs that can be extended
to an arrangement of pseudolines (pseudolinear drawings) have played an important
role as they are a natural combinatorial extension of rectilinear (or straight-line)
drawings. A characterization of the pseudolinear drawings of K_n was found recently.
We extend this characterization to all graphs, by describing the set of minimal
forbidden subdrawings for pseudolinear drawings. Our characterization also leads
to a polynomial-time algorithm to recognize pseudolinear drawings and construct
the pseudolines when it is possible.
alternative_title:
- LIPIcs
article_number: 9:1 - 9:14
article_processing_charge: No
author:
- 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: Julien
full_name: Bensmail, Julien
last_name: Bensmail
- first_name: R.
full_name: Bruce Richter, R.
last_name: Bruce Richter
citation:
ama: 'Arroyo Guevara AM, Bensmail J, Bruce Richter R. Extending drawings of graphs
to arrangements of pseudolines. In: 36th International Symposium on Computational
Geometry. Vol 164. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020.
doi:10.4230/LIPIcs.SoCG.2020.9'
apa: 'Arroyo Guevara, A. M., Bensmail, J., & Bruce Richter, R. (2020). Extending
drawings of graphs to arrangements of pseudolines. In 36th International Symposium
on Computational Geometry (Vol. 164). Zürich, Switzerland: Schloss Dagstuhl
- Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2020.9'
chicago: Arroyo Guevara, Alan M, Julien Bensmail, and R. Bruce Richter. “Extending
Drawings of Graphs to Arrangements of Pseudolines.” In 36th International Symposium
on Computational Geometry, Vol. 164. Schloss Dagstuhl - Leibniz-Zentrum für
Informatik, 2020. https://doi.org/10.4230/LIPIcs.SoCG.2020.9.
ieee: A. M. Arroyo Guevara, J. Bensmail, and R. Bruce Richter, “Extending drawings
of graphs to arrangements of pseudolines,” in 36th International Symposium
on Computational Geometry, Zürich, Switzerland, 2020, vol. 164.
ista: 'Arroyo Guevara AM, Bensmail J, Bruce Richter R. 2020. Extending drawings
of graphs to arrangements of pseudolines. 36th International Symposium on Computational
Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 164, 9:1-9:14.'
mla: Arroyo Guevara, Alan M., et al. “Extending Drawings of Graphs to Arrangements
of Pseudolines.” 36th International Symposium on Computational Geometry,
vol. 164, 9:1-9:14, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.SoCG.2020.9.
short: A.M. Arroyo Guevara, J. Bensmail, R. Bruce Richter, in:, 36th International
Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2020.
conference:
end_date: 2020-06-26
location: Zürich, Switzerland
name: 'SoCG: Symposium on Computational Geometry'
start_date: 2020-06-22
date_created: 2020-06-22T09:14:21Z
date_published: 2020-06-01T00:00:00Z
date_updated: 2023-02-23T13:22:12Z
day: '01'
ddc:
- '510'
department:
- _id: UlWa
doi: 10.4230/LIPIcs.SoCG.2020.9
ec_funded: 1
external_id:
arxiv:
- '1804.09317'
file:
- access_level: open_access
checksum: 93571b76cf97d5b7c8aabaeaa694dd7e
content_type: application/pdf
creator: dernst
date_created: 2020-06-23T11:06:23Z
date_updated: 2020-07-14T12:48:06Z
file_id: '8006'
file_name: 2020_LIPIcsSoCG_Arroyo.pdf
file_size: 592661
relation: main_file
file_date_updated: 2020-07-14T12:48:06Z
has_accepted_license: '1'
intvolume: ' 164'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: 36th International Symposium on Computational Geometry
publication_identifier:
isbn:
- '9783959771436'
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Extending drawings of graphs to arrangements of pseudolines
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: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 164
year: '2020'
...
---
_id: '8011'
abstract:
- lang: eng
text: 'Relaxation to a thermal state is the inevitable fate of nonequilibrium interacting
quantum systems without special conservation laws. While thermalization in one-dimensional
systems can often be suppressed by integrability mechanisms, in two spatial dimensions
thermalization is expected to be far more effective due to the increased phase
space. In this work we propose a general framework for escaping or delaying the
emergence of the thermal state in two-dimensional arrays of Rydberg atoms via
the mechanism of quantum scars, i.e., initial states that fail to thermalize.
The suppression of thermalization is achieved in two complementary ways: by adding
local perturbations or by adjusting the driving Rabi frequency according to the
local connectivity of the lattice. We demonstrate that these mechanisms allow
us to realize robust quantum scars in various two-dimensional lattices, including
decorated lattices with nonconstant connectivity. In particular, we show that
a small decrease of the Rabi frequency at the corners of the lattice is crucial
for mitigating the strong boundary effects in two-dimensional systems. Our results
identify synchronization as an important tool for future experiments on two-dimensional
quantum scars.'
article_number: '022065'
article_processing_charge: No
article_type: original
author:
- first_name: Alexios
full_name: Michailidis, Alexios
id: 36EBAD38-F248-11E8-B48F-1D18A9856A87
last_name: Michailidis
- first_name: C. J.
full_name: Turner, C. J.
last_name: Turner
- first_name: Z.
full_name: Papić, Z.
last_name: Papić
- first_name: D. A.
full_name: Abanin, D. A.
last_name: Abanin
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
citation:
ama: Michailidis A, Turner CJ, Papić Z, Abanin DA, Serbyn M. Stabilizing two-dimensional
quantum scars by deformation and synchronization. Physical Review Research.
2020;2(2). doi:10.1103/physrevresearch.2.022065
apa: Michailidis, A., Turner, C. J., Papić, Z., Abanin, D. A., & Serbyn, M.
(2020). Stabilizing two-dimensional quantum scars by deformation and synchronization.
Physical Review Research. American Physical Society. https://doi.org/10.1103/physrevresearch.2.022065
chicago: Michailidis, Alexios, C. J. Turner, Z. Papić, D. A. Abanin, and Maksym
Serbyn. “Stabilizing Two-Dimensional Quantum Scars by Deformation and Synchronization.”
Physical Review Research. American Physical Society, 2020. https://doi.org/10.1103/physrevresearch.2.022065.
ieee: A. Michailidis, C. J. Turner, Z. Papić, D. A. Abanin, and M. Serbyn, “Stabilizing
two-dimensional quantum scars by deformation and synchronization,” Physical
Review Research, vol. 2, no. 2. American Physical Society, 2020.
ista: Michailidis A, Turner CJ, Papić Z, Abanin DA, Serbyn M. 2020. Stabilizing
two-dimensional quantum scars by deformation and synchronization. Physical Review
Research. 2(2), 022065.
mla: Michailidis, Alexios, et al. “Stabilizing Two-Dimensional Quantum Scars by
Deformation and Synchronization.” Physical Review Research, vol. 2, no.
2, 022065, American Physical Society, 2020, doi:10.1103/physrevresearch.2.022065.
short: A. Michailidis, C.J. Turner, Z. Papić, D.A. Abanin, M. Serbyn, Physical Review
Research 2 (2020).
date_created: 2020-06-23T12:00:19Z
date_published: 2020-06-22T00:00:00Z
date_updated: 2021-01-12T08:16:30Z
day: '22'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1103/physrevresearch.2.022065
ec_funded: 1
file:
- access_level: open_access
checksum: e6959dc8220f14a008d1933858795e6d
content_type: application/pdf
creator: dernst
date_created: 2020-06-29T14:41:27Z
date_updated: 2020-07-14T12:48:08Z
file_id: '8050'
file_name: 2020_PhysicalReviewResearch_Michailidis.pdf
file_size: 2066011
relation: main_file
file_date_updated: 2020-07-14T12:48:08Z
has_accepted_license: '1'
intvolume: ' 2'
issue: '2'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
project:
- _id: 23841C26-32DE-11EA-91FC-C7463DDC885E
call_identifier: H2020
grant_number: '850899'
name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
publication: Physical Review Research
publication_identifier:
issn:
- 2643-1564
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
status: public
title: Stabilizing two-dimensional quantum scars by deformation and synchronization
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: 2
year: '2020'
...
---
_id: '8063'
abstract:
- lang: eng
text: "We present a generative model of images that explicitly reasons over the
set\r\nof objects they show. Our model learns a structured latent representation
that\r\nseparates objects from each other and from the background; unlike prior
works,\r\nit explicitly represents the 2D position and depth of each object, as
well as\r\nan embedding of its segmentation mask and appearance. The model can
be trained\r\nfrom images alone in a purely unsupervised fashion without the need
for object\r\nmasks or depth information. Moreover, it always generates complete
objects,\r\neven though a significant fraction of training images contain occlusions.\r\nFinally,
we show that our model can infer decompositions of novel images into\r\ntheir
constituent objects, including accurate prediction of depth ordering and\r\nsegmentation
of occluded parts."
article_number: '2004.00642'
article_processing_charge: No
author:
- first_name: Titas
full_name: Anciukevicius, Titas
last_name: Anciukevicius
- first_name: Christoph
full_name: Lampert, Christoph
id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
last_name: Lampert
orcid: 0000-0001-8622-7887
- first_name: Paul M
full_name: Henderson, Paul M
id: 13C09E74-18D9-11E9-8878-32CFE5697425
last_name: Henderson
orcid: 0000-0002-5198-7445
citation:
ama: Anciukevicius T, Lampert C, Henderson PM. Object-centric image generation with
factored depths, locations, and appearances. arXiv.
apa: Anciukevicius, T., Lampert, C., & Henderson, P. M. (n.d.). Object-centric
image generation with factored depths, locations, and appearances. arXiv.
chicago: Anciukevicius, Titas, Christoph Lampert, and Paul M Henderson. “Object-Centric
Image Generation with Factored Depths, Locations, and Appearances.” ArXiv,
n.d.
ieee: T. Anciukevicius, C. Lampert, and P. M. Henderson, “Object-centric image generation
with factored depths, locations, and appearances,” arXiv. .
ista: Anciukevicius T, Lampert C, Henderson PM. Object-centric image generation
with factored depths, locations, and appearances. arXiv, 2004.00642.
mla: Anciukevicius, Titas, et al. “Object-Centric Image Generation with Factored
Depths, Locations, and Appearances.” ArXiv, 2004.00642.
short: T. Anciukevicius, C. Lampert, P.M. Henderson, ArXiv (n.d.).
date_created: 2020-06-29T23:55:23Z
date_published: 2020-04-01T00:00:00Z
date_updated: 2021-01-12T08:16:44Z
day: '01'
ddc:
- '004'
department:
- _id: ChLa
external_id:
arxiv:
- '2004.00642'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-sa/4.0/
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2004.00642
month: '04'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: submitted
status: public
title: Object-centric image generation with factored depths, locations, and appearances
tmp:
image: /images/cc_by_sa.png
legal_code_url: https://creativecommons.org/licenses/by-sa/4.0/legalcode
name: Creative Commons Attribution-ShareAlike 4.0 International Public License (CC
BY-SA 4.0)
short: CC BY-SA (4.0)
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2020'
...
---
_id: '8081'
abstract:
- lang: eng
text: "Here, we employ micro- and nanosized cellulose particles, namely paper fines
and cellulose\r\nnanocrystals, to induce hierarchical organization over a wide
length scale. After processing\r\nthem into carbonaceous materials, we demonstrate
that these hierarchically organized materials\r\noutperform the best materials
for supercapacitors operating with organic electrolytes reported\r\nin literature
in terms of specific energy/power (Ragone plot) while showing hardly any capacity\r\nfade
over 4,000 cycles. The highly porous materials feature a specific surface area
as high as\r\n2500 m2ˑg-1 and exhibit pore sizes in the range of 0.5 to 200 nm
as proven by scanning electron\r\nmicroscopy and N2 physisorption. The carbonaceous
materials have been further investigated\r\nby X-ray photoelectron spectroscopy
and RAMAN spectroscopy. Since paper fines are an\r\nunderutilized side stream
in any paper production process, they are a cheap and highly available\r\nfeedstock
to prepare carbonaceous materials with outstanding performance in electrochemical\r\napplications. "
acknowledgement: 'The authors M.A.H., S.S., R.E., and W.B. acknowledge the industrial
partners Sappi Gratkorn, Zellstoff Pöls and Mondi Frantschach, the Austrian Research
Promotion Agency (FFG), COMET, BMVIT, BMWFJ, the Province of Styria and Carinthia
for their financial support of the K-project Flippr²-Process Integration. E.M. and
S.A.F. are indebted to the European Research Council (ERC) under the European Union’s
Horizon 2020 research and innovation program (grant agreement No 636069). W. T.
and S. E. thank FWO (G.0C60.13N) and the European Union’s European Fund for Regional
Development and Flanders Innovation & Entrepreneurship (Accelerate3 project, Interreg
Vlaanderen-Nederland program) for financial support. W. T. also thanks the Provincie
West-Vlaanderen (Belgium) for his Provincial Chair in Advanced Materials. S. B.
thanks the European Regional Development Fund (EFRE) and the province of Upper Austria
for financial support through the program IWB 2014-2020 (project BioCarb-K). AMR
gratefully acknowledges funding support through the SC EPSCoR/IDeAProgram under
Award #18-SR03, and the NASA EPSCoR Program under Award #NNH17ZHA002C. Icons in
Scheme 1 were provided by Good Ware, monkik, photo3idea_studio, and OCHA from www.flaticon.com.'
article_processing_charge: No
author:
- first_name: 'Mathias A. '
full_name: 'Hobisch, Mathias A. '
last_name: Hobisch
- first_name: 'Eléonore '
full_name: 'Mourad, Eléonore '
last_name: Mourad
- first_name: 'Wolfgang J. '
full_name: 'Fischer, Wolfgang J. '
last_name: Fischer
- first_name: 'Christian '
full_name: 'Prehal, Christian '
last_name: Prehal
- first_name: 'Samuel '
full_name: 'Eyley, Samuel '
last_name: Eyley
- first_name: 'Anthony '
full_name: 'Childress, Anthony '
last_name: Childress
- first_name: 'Armin '
full_name: 'Zankel, Armin '
last_name: Zankel
- first_name: 'Andreas '
full_name: 'Mautner, Andreas '
last_name: Mautner
- first_name: 'Stefan '
full_name: 'Breitenbach, Stefan '
last_name: Breitenbach
- first_name: 'Apparao M. '
full_name: 'Rao, Apparao M. '
last_name: Rao
- first_name: 'Wim '
full_name: 'Thielemans, Wim '
last_name: Thielemans
- first_name: Stefan Alexander
full_name: Freunberger, Stefan Alexander
id: A8CA28E6-CE23-11E9-AD2D-EC27E6697425
last_name: Freunberger
orcid: 0000-0003-2902-5319
- first_name: 'Rene '
full_name: 'Eckhart, Rene '
last_name: Eckhart
- first_name: 'Wolfgang '
full_name: 'Bauer, Wolfgang '
last_name: Bauer
- first_name: 'Stefan '
full_name: 'Spirk, Stefan '
last_name: Spirk
citation:
ama: Hobisch MA, Mourad E, Fischer WJ, et al. High specific capacitance supercapacitors
from hierarchically organized all-cellulose composites.
apa: Hobisch, M. A., Mourad, E., Fischer, W. J., Prehal, C., Eyley, S., Childress,
A., … Spirk, S. (n.d.). High specific capacitance supercapacitors from hierarchically
organized all-cellulose composites.
chicago: Hobisch, Mathias A. , Eléonore Mourad, Wolfgang J. Fischer, Christian Prehal,
Samuel Eyley, Anthony Childress, Armin Zankel, et al. “High Specific Capacitance
Supercapacitors from Hierarchically Organized All-Cellulose Composites,” n.d.
ieee: M. A. Hobisch et al., “High specific capacitance supercapacitors from
hierarchically organized all-cellulose composites.” .
ista: Hobisch MA, Mourad E, Fischer WJ, Prehal C, Eyley S, Childress A, Zankel A,
Mautner A, Breitenbach S, Rao AM, Thielemans W, Freunberger SA, Eckhart R, Bauer
W, Spirk S. High specific capacitance supercapacitors from hierarchically organized
all-cellulose composites.
mla: Hobisch, Mathias A., et al. High Specific Capacitance Supercapacitors from
Hierarchically Organized All-Cellulose Composites.
short: M.A. Hobisch, E. Mourad, W.J. Fischer, C. Prehal, S. Eyley, A. Childress,
A. Zankel, A. Mautner, S. Breitenbach, A.M. Rao, W. Thielemans, S.A. Freunberger,
R. Eckhart, W. Bauer, S. Spirk, (n.d.).
date_created: 2020-07-02T20:24:42Z
date_published: 2020-07-13T00:00:00Z
date_updated: 2022-06-17T08:39:49Z
day: '13'
ddc:
- '540'
department:
- _id: StFr
file:
- access_level: open_access
checksum: 6970d621984c03ebc2eee71adfe706dd
content_type: application/pdf
creator: sfreunbe
date_created: 2020-07-02T20:21:59Z
date_updated: 2020-07-14T12:48:09Z
file_id: '8082'
file_name: AM.pdf
file_size: 1129852
relation: main_file
- access_level: open_access
checksum: cd74c7bd47d6e7163d54d67f074dcc36
content_type: application/pdf
creator: cziletti
date_created: 2020-07-08T12:14:04Z
date_updated: 2020-07-14T12:48:09Z
file_id: '8102'
file_name: Supporting_Information.pdf
file_size: 945565
relation: supplementary_material
file_date_updated: 2020-07-14T12:48:09Z
has_accepted_license: '1'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Submitted Version
publication_status: submitted
status: public
title: High specific capacitance supercapacitors from hierarchically organized all-cellulose
composites
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2020'
...
---
_id: '8105'
abstract:
- lang: eng
text: Physical and biological systems often exhibit intermittent dynamics with bursts
or avalanches (active states) characterized by power-law size and duration distributions.
These emergent features are typical of systems at the critical point of continuous
phase transitions, and have led to the hypothesis that such systems may self-organize
at criticality, i.e. without any fine tuning of parameters. Since the introduction
of the Bak-Tang-Wiesenfeld (BTW) model, the paradigm of self-organized criticality
(SOC) has been very fruitful for the analysis of emergent collective behaviors
in a number of systems, including the brain. Although considerable effort has
been devoted in identifying and modeling scaling features of burst and avalanche
statistics, dynamical aspects related to the temporal organization of bursts remain
often poorly understood or controversial. Of crucial importance to understand
the mechanisms responsible for emergent behaviors is the relationship between
active and quiet periods, and the nature of the correlations. Here we investigate
the dynamics of active (θ-bursts) and quiet states (δ-bursts) in brain activity
during the sleep-wake cycle. We show the duality of power-law (θ, active phase)
and exponential-like (δ, quiescent phase) duration distributions, typical of SOC,
jointly emerge with power-law temporal correlations and anti-correlated coupling
between active and quiet states. Importantly, we demonstrate that such temporal
organization shares important similarities with earthquake dynamics, and propose
that specific power-law correlations and coupling between active and quiet states
are distinctive characteristics of a class of systems with self-organization at
criticality.
article_number: '00005'
article_processing_charge: No
article_type: original
author:
- first_name: Fabrizio
full_name: Lombardi, Fabrizio
id: A057D288-3E88-11E9-986D-0CF4E5697425
last_name: Lombardi
orcid: 0000-0003-2623-5249
- first_name: Jilin W.J.L.
full_name: Wang, Jilin W.J.L.
last_name: Wang
- first_name: Xiyun
full_name: Zhang, Xiyun
last_name: Zhang
- first_name: Plamen Ch
full_name: Ivanov, Plamen Ch
last_name: Ivanov
citation:
ama: Lombardi F, Wang JWJL, Zhang X, Ivanov PC. Power-law correlations and coupling
of active and quiet states underlie a class of complex systems with self-organization
at criticality. EPJ Web of Conferences. 2020;230. doi:10.1051/epjconf/202023000005
apa: Lombardi, F., Wang, J. W. J. L., Zhang, X., & Ivanov, P. C. (2020). Power-law
correlations and coupling of active and quiet states underlie a class of complex
systems with self-organization at criticality. EPJ Web of Conferences.
EDP Sciences. https://doi.org/10.1051/epjconf/202023000005
chicago: Lombardi, Fabrizio, Jilin W.J.L. Wang, Xiyun Zhang, and Plamen Ch Ivanov.
“Power-Law Correlations and Coupling of Active and Quiet States Underlie a Class
of Complex Systems with Self-Organization at Criticality.” EPJ Web of Conferences.
EDP Sciences, 2020. https://doi.org/10.1051/epjconf/202023000005.
ieee: F. Lombardi, J. W. J. L. Wang, X. Zhang, and P. C. Ivanov, “Power-law correlations
and coupling of active and quiet states underlie a class of complex systems with
self-organization at criticality,” EPJ Web of Conferences, vol. 230. EDP
Sciences, 2020.
ista: Lombardi F, Wang JWJL, Zhang X, Ivanov PC. 2020. Power-law correlations and
coupling of active and quiet states underlie a class of complex systems with self-organization
at criticality. EPJ Web of Conferences. 230, 00005.
mla: Lombardi, Fabrizio, et al. “Power-Law Correlations and Coupling of Active and
Quiet States Underlie a Class of Complex Systems with Self-Organization at Criticality.”
EPJ Web of Conferences, vol. 230, 00005, EDP Sciences, 2020, doi:10.1051/epjconf/202023000005.
short: F. Lombardi, J.W.J.L. Wang, X. Zhang, P.C. Ivanov, EPJ Web of Conferences
230 (2020).
date_created: 2020-07-12T16:20:33Z
date_published: 2020-03-11T00:00:00Z
date_updated: 2021-01-12T08:16:55Z
day: '11'
ddc:
- '530'
department:
- _id: GaTk
doi: 10.1051/epjconf/202023000005
file:
- access_level: open_access
content_type: application/pdf
creator: dernst
date_created: 2020-07-22T06:17:11Z
date_updated: 2020-07-22T06:17:11Z
file_id: '8144'
file_name: 2020_EPJWebConf_Lombardi.pdf
file_size: 2197543
relation: main_file
success: 1
file_date_updated: 2020-07-22T06:17:11Z
has_accepted_license: '1'
intvolume: ' 230'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
publication: EPJ Web of Conferences
publication_identifier:
issn:
- 2100-014X
publication_status: published
publisher: EDP Sciences
quality_controlled: '1'
status: public
title: Power-law correlations and coupling of active and quiet states underlie a class
of complex systems with self-organization at criticality
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: 230
year: '2020'
...
---
_id: '8135'
abstract:
- lang: eng
text: Discrete Morse theory has recently lead to new developments in the theory
of random geometric complexes. This article surveys the methods and results obtained
with this new approach, and discusses some of its shortcomings. It uses simulations
to illustrate the results and to form conjectures, getting numerical estimates
for combinatorial, topological, and geometric properties of weighted and unweighted
Delaunay mosaics, their dual Voronoi tessellations, and the Alpha and Wrap complexes
contained in the mosaics.
acknowledgement: This project has received funding from the European Research Council
(ERC) under the European Union’s Horizon 2020 research and innovation programme
(grant agreements No 78818 Alpha and No 638176). It is also partially supported
by the DFG Collaborative Research Center TRR 109, ‘Discretization in Geometry and
Dynamics’, through grant no. I02979-N35 of the Austrian Science Fund (FWF).
alternative_title:
- Abel Symposia
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: Anton
full_name: Nikitenko, Anton
id: 3E4FF1BA-F248-11E8-B48F-1D18A9856A87
last_name: Nikitenko
- first_name: Katharina
full_name: Ölsböck, Katharina
id: 4D4AA390-F248-11E8-B48F-1D18A9856A87
last_name: Ölsböck
- first_name: Peter
full_name: Synak, Peter
id: 331776E2-F248-11E8-B48F-1D18A9856A87
last_name: Synak
citation:
ama: 'Edelsbrunner H, Nikitenko A, Ölsböck K, Synak P. Radius functions on Poisson–Delaunay
mosaics and related complexes experimentally. In: Topological Data Analysis.
Vol 15. Springer Nature; 2020:181-218. doi:10.1007/978-3-030-43408-3_8'
apa: Edelsbrunner, H., Nikitenko, A., Ölsböck, K., & Synak, P. (2020). Radius
functions on Poisson–Delaunay mosaics and related complexes experimentally. In
Topological Data Analysis (Vol. 15, pp. 181–218). Springer Nature. https://doi.org/10.1007/978-3-030-43408-3_8
chicago: Edelsbrunner, Herbert, Anton Nikitenko, Katharina Ölsböck, and Peter Synak.
“Radius Functions on Poisson–Delaunay Mosaics and Related Complexes Experimentally.”
In Topological Data Analysis, 15:181–218. Springer Nature, 2020. https://doi.org/10.1007/978-3-030-43408-3_8.
ieee: H. Edelsbrunner, A. Nikitenko, K. Ölsböck, and P. Synak, “Radius functions
on Poisson–Delaunay mosaics and related complexes experimentally,” in Topological
Data Analysis, 2020, vol. 15, pp. 181–218.
ista: Edelsbrunner H, Nikitenko A, Ölsböck K, Synak P. 2020. Radius functions on
Poisson–Delaunay mosaics and related complexes experimentally. Topological Data
Analysis. , Abel Symposia, vol. 15, 181–218.
mla: Edelsbrunner, Herbert, et al. “Radius Functions on Poisson–Delaunay Mosaics
and Related Complexes Experimentally.” Topological Data Analysis, vol.
15, Springer Nature, 2020, pp. 181–218, doi:10.1007/978-3-030-43408-3_8.
short: H. Edelsbrunner, A. Nikitenko, K. Ölsböck, P. Synak, in:, Topological Data
Analysis, Springer Nature, 2020, pp. 181–218.
date_created: 2020-07-19T22:00:59Z
date_published: 2020-06-22T00:00:00Z
date_updated: 2021-01-12T08:17:06Z
day: '22'
ddc:
- '510'
department:
- _id: HeEd
doi: 10.1007/978-3-030-43408-3_8
ec_funded: 1
file:
- access_level: open_access
checksum: 7b5e0de10675d787a2ddb2091370b8d8
content_type: application/pdf
creator: dernst
date_created: 2020-10-08T08:56:14Z
date_updated: 2020-10-08T08:56:14Z
file_id: '8628'
file_name: 2020-B-01-PoissonExperimentalSurvey.pdf
file_size: 2207071
relation: main_file
success: 1
file_date_updated: 2020-10-08T08:56:14Z
has_accepted_license: '1'
intvolume: ' 15'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Submitted Version
page: 181-218
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '788183'
name: Alpha Shape Theory Extended
- _id: 2533E772-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '638176'
name: Efficient Simulation of Natural Phenomena at Extremely Large Scales
- _id: 2561EBF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: I02979-N35
name: Persistence and stability of geometric complexes
publication: Topological Data Analysis
publication_identifier:
eissn:
- '21978549'
isbn:
- '9783030434076'
issn:
- '21932808'
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Radius functions on Poisson–Delaunay mosaics and related complexes experimentally
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 15
year: '2020'
...
---
_id: '8181'
author:
- first_name: Robert
full_name: Hauschild, Robert
id: 4E01D6B4-F248-11E8-B48F-1D18A9856A87
last_name: Hauschild
orcid: 0000-0001-9843-3522
citation:
ama: Hauschild R. Amplified centrosomes in dendritic cells promote immune cell effector
functions. 2020. doi:10.15479/AT:ISTA:8181
apa: Hauschild, R. (2020). Amplified centrosomes in dendritic cells promote immune
cell effector functions. IST Austria. https://doi.org/10.15479/AT:ISTA:8181
chicago: Hauschild, Robert. “Amplified Centrosomes in Dendritic Cells Promote Immune
Cell Effector Functions.” IST Austria, 2020. https://doi.org/10.15479/AT:ISTA:8181.
ieee: R. Hauschild, “Amplified centrosomes in dendritic cells promote immune cell
effector functions.” IST Austria, 2020.
ista: Hauschild R. 2020. Amplified centrosomes in dendritic cells promote immune
cell effector functions, IST Austria, 10.15479/AT:ISTA:8181.
mla: Hauschild, Robert. Amplified Centrosomes in Dendritic Cells Promote Immune
Cell Effector Functions. IST Austria, 2020, doi:10.15479/AT:ISTA:8181.
short: R. Hauschild, (2020).
date_created: 2020-07-28T16:24:37Z
date_published: 2020-08-24T00:00:00Z
date_updated: 2021-01-11T15:29:08Z
day: '24'
department:
- _id: Bio
doi: 10.15479/AT:ISTA:8181
file:
- access_level: open_access
checksum: 878c60885ce30afb59a884dd5eef451c
content_type: text/plain
creator: rhauschild
date_created: 2020-08-24T15:43:49Z
date_updated: 2020-08-24T15:43:49Z
file_id: '8290'
file_name: centriolesDistance.m
file_size: 6577
relation: main_file
success: 1
- access_level: open_access
checksum: 5a93ac7be2b66b28e4bd8b113ee6aade
content_type: text/plain
creator: rhauschild
date_created: 2020-08-24T15:43:52Z
date_updated: 2020-08-24T15:43:52Z
file_id: '8291'
file_name: goTracking.m
file_size: 2680
relation: main_file
success: 1
file_date_updated: 2020-08-24T15:43:52Z
has_accepted_license: '1'
license: https://opensource.org/licenses/BSD-3-Clause
month: '08'
oa: 1
publisher: IST Austria
status: public
title: Amplified centrosomes in dendritic cells promote immune cell effector functions
tmp:
legal_code_url: https://opensource.org/licenses/BSD-3-Clause
name: The 3-Clause BSD License
short: 3-Clause BSD
type: software
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2020'
...