---
_id: '14587'
abstract:
- lang: eng
text: "This thesis concerns the application of variational methods to the study
of evolution problems arising in fluid mechanics and in material sciences. The
main focus is on weak-strong stability properties of some curvature driven interface
evolution problems, such as the two-phase Navier–Stokes flow with surface tension
and multiphase mean curvature flow, and on the phase-field approximation of the
latter. Furthermore, we discuss a variational approach to the study of a class
of doubly nonlinear wave equations.\r\nFirst, we consider the two-phase Navier–Stokes
flow with surface tension within a bounded domain. The two fluids are immiscible
and separated by a sharp interface, which intersects the boundary of the domain
at a constant contact angle of ninety degree. We devise a suitable concept of
varifolds solutions for the associated interface evolution problem and we establish
a weak-strong uniqueness principle in case of a two dimensional ambient space.
In order to focus on the boundary effects and on the singular geometry of the
evolving domains, we work for simplicity in the regime of same viscosities for
the two fluids.\r\nThe core of the thesis consists in the rigorous proof of the
convergence of the vectorial Allen-Cahn equation towards multiphase mean curvature
flow for a suitable class of multi- well potentials and for well-prepared initial
data. We even establish a rate of convergence. Our relative energy approach relies
on the concept of gradient-flow calibration for branching singularities in multiphase
mean curvature flow and thus enables us to overcome the limitations of other approaches.
To the best of the author’s knowledge, our result is the first quantitative and
unconditional one available in the literature for the vectorial/multiphase setting.\r\nThis
thesis also contains a first study of weak-strong stability for planar multiphase
mean curvature flow beyond the singularity resulting from a topology change. Previous
weak-strong results are indeed limited to time horizons before the first topology
change of the strong solution. We consider circular topology changes and we prove
weak-strong stability for BV solutions to planar multiphase mean curvature flow
beyond the associated singular times by dynamically adapting the strong solutions
to the weak one by means of a space-time shift.\r\nIn the context of interface
evolution problems, our proofs for the main results of this thesis are based on
the relative energy technique, relying on novel suitable notions of relative energy
functionals, which in particular measure the interface error. Our statements follow
from the resulting stability estimates for the relative energy associated to the
problem.\r\nAt last, we introduce a variational approach to the study of nonlinear
evolution problems. This approach hinges on the minimization of a parameter dependent
family of convex functionals over entire trajectories, known as Weighted Inertia-Dissipation-Energy
(WIDE) functionals. We consider a class of doubly nonlinear wave equations and
establish the convergence, up to subsequences, of the associated WIDE minimizers
to a solution of the target problem as the parameter goes to zero."
acknowledgement: The research projects contained in this thesis have received funding
from the European Research Council (ERC) under the European Union’s Horizon 2020
research and innovation programme (grant agreement No 948819).
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Alice
full_name: Marveggio, Alice
id: 25647992-AA84-11E9-9D75-8427E6697425
last_name: Marveggio
citation:
ama: Marveggio A. Weak-strong stability and phase-field approximation of interface
evolution problems in fluid mechanics and in material sciences. 2023. doi:10.15479/at:ista:14587
apa: Marveggio, A. (2023). Weak-strong stability and phase-field approximation
of interface evolution problems in fluid mechanics and in material sciences.
Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:14587
chicago: Marveggio, Alice. “Weak-Strong Stability and Phase-Field Approximation
of Interface Evolution Problems in Fluid Mechanics and in Material Sciences.”
Institute of Science and Technology Austria, 2023. https://doi.org/10.15479/at:ista:14587.
ieee: A. Marveggio, “Weak-strong stability and phase-field approximation of interface
evolution problems in fluid mechanics and in material sciences,” Institute of
Science and Technology Austria, 2023.
ista: Marveggio A. 2023. Weak-strong stability and phase-field approximation of
interface evolution problems in fluid mechanics and in material sciences. Institute
of Science and Technology Austria.
mla: Marveggio, Alice. Weak-Strong Stability and Phase-Field Approximation of
Interface Evolution Problems in Fluid Mechanics and in Material Sciences.
Institute of Science and Technology Austria, 2023, doi:10.15479/at:ista:14587.
short: A. Marveggio, Weak-Strong Stability and Phase-Field Approximation of Interface
Evolution Problems in Fluid Mechanics and in Material Sciences, Institute of Science
and Technology Austria, 2023.
date_created: 2023-11-21T11:41:05Z
date_published: 2023-11-21T00:00:00Z
date_updated: 2024-03-22T13:21:28Z
day: '21'
ddc:
- '515'
degree_awarded: PhD
department:
- _id: GradSch
- _id: JuFi
doi: 10.15479/at:ista:14587
ec_funded: 1
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date_created: 2023-11-29T09:10:19Z
date_updated: 2024-03-20T12:28:32Z
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file_name: Thesis_Marveggio.zip
file_size: 10189696
relation: source_file
file_date_updated: 2024-03-20T12:28:32Z
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language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-sa/4.0/
month: '11'
oa: 1
oa_version: Published Version
page: '228'
project:
- _id: 0aa76401-070f-11eb-9043-b5bb049fa26d
call_identifier: H2020
grant_number: '948819'
name: Bridging Scales in Random Materials
publication_identifier:
issn:
- 2663 - 337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
record:
- id: '11842'
relation: part_of_dissertation
status: public
- id: '14597'
relation: part_of_dissertation
status: public
status: public
supervisor:
- first_name: Julian L
full_name: Fischer, Julian L
id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87
last_name: Fischer
orcid: 0000-0002-0479-558X
title: Weak-strong stability and phase-field approximation of interface evolution
problems in fluid mechanics and in material sciences
tmp:
image: /images/cc_by_nc_sa.png
legal_code_url: https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC
BY-NC-SA 4.0)
short: CC BY-NC-SA (4.0)
type: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2023'
...
---
_id: '12491'
abstract:
- lang: eng
text: "The extracellular matrix (ECM) is a hydrated and complex three-dimensional
network consisting of proteins, polysaccharides, and water. It provides structural
scaffolding for the cells embedded within it and is essential in regulating numerous
physiological processes, including cell migration and proliferation, wound healing,
and stem cell fate. \r\nDespite extensive study, detailed structural knowledge
of ECM components in physiologically relevant conditions is still rudimentary.
This is due to methodological limitations in specimen preparation protocols which
are incompatible with keeping large samples, such as the ECM, in their native
state for subsequent imaging. Conventional electron microscopy (EM) techniques
rely on fixation, dehydration, contrasting, and sectioning. This results in the
alteration of a highly hydrated environment and the potential introduction of
artifacts. Other structural biology techniques, such as nuclear magnetic resonance
(NMR) spectroscopy and X-ray crystallography, allow high-resolution analysis of
protein structures but only work on homogenous and purified samples, hence lacking
contextual information. Currently, no approach exists for the ultrastructural
and structural study of extracellular components under native conditions in a
physiological, 3D environment. \r\nIn this thesis, I have developed a workflow
that allows for the ultrastructural analysis of the ECM in near-native conditions
at molecular resolution. The developments I introduced include implementing a
novel specimen preparation workflow for cell-derived matrices (CDMs) to render
them compatible with ion-beam milling and subsequent high-resolution cryo-electron
tomography (ET). \r\nTo this end, I have established protocols to generate CDMs
grown over several weeks on EM grids that are compatible with downstream cryo-EM
sample preparation and imaging techniques. Characterization of these ECMs confirmed
that they contain essential ECM components such as collagen I, collagen VI, and
fibronectin I in high abundance and hence represent a bona fide biologically-relevant
sample. I successfully optimized vitrification of these specimens by testing various
vitrification techniques and cryoprotectants. \r\nIn order to obtain high-resolution
molecular insights into the ultrastructure and organization of CDMs, I established
cryo-focused ion beam scanning electron microscopy (FIBSEM) on these challenging
and complex specimens. I explored different approaches for the creation of thin
cryo-lamellae by FIB milling and succeeded in optimizing the cryo-lift-out technique,
resulting in high-quality lamellae of approximately 200 nm thickness. \r\nHigh-resolution
Cryo-ET of these lamellae revealed for the first time the architecture of native
CDM in the context of matrix-secreting cells. This allowed for the in situ visualization
of fibrillar matrix proteins such as collagen, laying the foundation for future
structural and ultrastructural characterization of these proteins in their near-native
environment. \r\nIn summary, in this thesis, I present a novel workflow that combines
state-of-the-art cryo-EM specimen preparation and imaging technologies to permit
characterization of the ECM, an important tissue component in higher organisms.
This innovative and highly versatile workflow will enable addressing far-reaching
questions on ECM architecture, composition, and reciprocal ECM-cell interactions."
acknowledged_ssus:
- _id: EM-Fac
- _id: LifeSc
- _id: Bio
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Bettina
full_name: Zens, Bettina
id: 45FD126C-F248-11E8-B48F-1D18A9856A87
last_name: Zens
orcid: 0000-0002-9561-1239
citation:
ama: Zens B. Ultrastructural characterization of natively preserved extracellular
matrix by cryo-electron tomography. 2023. doi:10.15479/at:ista:12491
apa: Zens, B. (2023). Ultrastructural characterization of natively preserved
extracellular matrix by cryo-electron tomography. Institute of Science and
Technology Austria. https://doi.org/10.15479/at:ista:12491
chicago: Zens, Bettina. “Ultrastructural Characterization of Natively Preserved
Extracellular Matrix by Cryo-Electron Tomography.” Institute of Science and Technology
Austria, 2023. https://doi.org/10.15479/at:ista:12491.
ieee: B. Zens, “Ultrastructural characterization of natively preserved extracellular
matrix by cryo-electron tomography,” Institute of Science and Technology Austria,
2023.
ista: Zens B. 2023. Ultrastructural characterization of natively preserved extracellular
matrix by cryo-electron tomography. Institute of Science and Technology Austria.
mla: Zens, Bettina. Ultrastructural Characterization of Natively Preserved Extracellular
Matrix by Cryo-Electron Tomography. Institute of Science and Technology Austria,
2023, doi:10.15479/at:ista:12491.
short: B. Zens, Ultrastructural Characterization of Natively Preserved Extracellular
Matrix by Cryo-Electron Tomography, Institute of Science and Technology Austria,
2023.
date_created: 2023-02-02T14:50:20Z
date_published: 2023-02-02T00:00:00Z
date_updated: 2024-03-25T23:30:05Z
day: '02'
ddc:
- '570'
degree_awarded: PhD
department:
- _id: GradSch
- _id: FlSc
doi: 10.15479/at:ista:12491
file:
- access_level: open_access
checksum: 069d87f025e0799bf9e3c375664264f2
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creator: bzens
date_created: 2023-02-07T13:07:38Z
date_updated: 2024-02-08T23:30:04Z
embargo: 2024-02-07
file_id: '12527'
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file_size: 23082464
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creator: bzens
date_created: 2023-02-07T13:09:05Z
date_updated: 2024-02-08T23:30:04Z
embargo_to: open_access
file_id: '12528'
file_name: PhDThesis_BettinaZens_2023_final.docx
file_size: 106169509
relation: source_file
file_date_updated: 2024-02-08T23:30:04Z
has_accepted_license: '1'
keyword:
- cryo-EM
- cryo-ET
- FIB milling
- method development
- FIBSEM
- extracellular matrix
- ECM
- cell-derived matrices
- CDMs
- cell culture
- high pressure freezing
- HPF
- structural biology
- tomography
- collagen
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: '187'
project:
- _id: eba3b5f6-77a9-11ec-83b8-cf0905748aa3
name: Integrated visual proteomics of reciprocal cell-extracellular matrix interactions
- _id: 059B463C-7A3F-11EA-A408-12923DDC885E
name: NÖ-Fonds Preis für die Jungforscherin des Jahres am IST Austria
publication_identifier:
isbn:
- 978-3-99078-027-5
issn:
- 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
record:
- id: '8586'
relation: part_of_dissertation
status: public
status: public
supervisor:
- first_name: Florian KM
full_name: Schur, Florian KM
id: 48AD8942-F248-11E8-B48F-1D18A9856A87
last_name: Schur
orcid: 0000-0003-4790-8078
title: Ultrastructural characterization of natively preserved extracellular matrix
by cryo-electron tomography
type: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2023'
...
---
_id: '14226'
abstract:
- lang: eng
text: "We introduce the notion of a Faustian interchange in a 1-parameter family
of smooth\r\nfunctions to generalize the medial axis to critical points of index
larger than 0.\r\nWe construct and implement a general purpose algorithm for approximating
such\r\ngeneralized medial axes."
alternative_title:
- ISTA Master's Thesis
article_processing_charge: No
author:
- first_name: Elizabeth R
full_name: Stephenson, Elizabeth R
id: 2D04F932-F248-11E8-B48F-1D18A9856A87
last_name: Stephenson
orcid: 0000-0002-6862-208X
citation:
ama: Stephenson ER. Generalizing medial axes with homology switches. 2023. doi:10.15479/at:ista:14226
apa: Stephenson, E. R. (2023). Generalizing medial axes with homology switches.
Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:14226
chicago: Stephenson, Elizabeth R. “Generalizing Medial Axes with Homology Switches.”
Institute of Science and Technology Austria, 2023. https://doi.org/10.15479/at:ista:14226.
ieee: E. R. Stephenson, “Generalizing medial axes with homology switches,” Institute
of Science and Technology Austria, 2023.
ista: Stephenson ER. 2023. Generalizing medial axes with homology switches. Institute
of Science and Technology Austria.
mla: Stephenson, Elizabeth R. Generalizing Medial Axes with Homology Switches.
Institute of Science and Technology Austria, 2023, doi:10.15479/at:ista:14226.
short: E.R. Stephenson, Generalizing Medial Axes with Homology Switches, Institute
of Science and Technology Austria, 2023.
date_created: 2023-08-24T13:01:18Z
date_published: 2023-08-24T00:00:00Z
date_updated: 2024-02-26T23:30:04Z
day: '24'
ddc:
- '500'
degree_awarded: MS
department:
- _id: GradSch
- _id: HeEd
doi: 10.15479/at:ista:14226
file:
- access_level: closed
checksum: 453caf851d75c3478c10ed09bd242a91
content_type: application/x-zip-compressed
creator: cchlebak
date_created: 2023-08-24T13:02:49Z
date_updated: 2024-02-26T23:30:03Z
embargo_to: open_access
file_id: '14227'
file_name: documents-export-2023-08-24.zip
file_size: 15501411
relation: source_file
- access_level: open_access
checksum: 7349d29963d6695e555e171748648d9a
content_type: application/pdf
creator: cchlebak
date_created: 2023-08-24T13:03:42Z
date_updated: 2024-02-26T23:30:03Z
embargo: 2024-02-25
file_id: '14228'
file_name: thesis_pdf_a.pdf
file_size: 6854783
relation: main_file
file_date_updated: 2024-02-26T23:30:03Z
has_accepted_license: '1'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
page: '43'
publication_identifier:
issn:
- 2791-4585
publication_status: published
publisher: Institute of Science and Technology Austria
status: public
supervisor:
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
title: Generalizing medial axes with homology switches
type: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2023'
...
---
_id: '12470'
abstract:
- lang: eng
text: "The brain is an exceptionally sophisticated organ consisting of billions
of cells and trillions of \r\nconnections that orchestrate our cognition and behavior.
To decode its complex connectivity, it is \r\npivotal to disentangle its intricate
architecture spanning from cm-sized circuits down to tens of \r\nnm-small synapses.\r\nTo
achieve this goal, I developed CATS – Comprehensive Analysis of nervous Tissue
across \r\nScales, a versatile toolbox for obtaining a holistic view of nervous
tissue context with (super\x02resolution) fluorescence microscopy. CATS combines
comprehensive labeling of the extracellular\r\nspace, that is compatible with
chemical fixation, with information on molecular markers, super\x02resolved data
acquisition and machine-learning based data analysis for segmentation and synapse
\r\nidentification.\r\nI used CATS to analyze key features of nervous tissue connectivity,
ranging from whole tissue \r\narchitecture, neuronal in- and output-fields, down
to synapse morphology.\r\nFocusing on the hippocampal circuitry, I quantified
synaptic transmission properties of mossy \r\nfiber boutons and analyzed the connectivity
pattern of dentate gyrus granule cells with CA3 \r\npyramidal neurons. This shows
that CATS is a viable tool to study hallmarks of neuronal \r\nconnectivity with
light microscopy."
acknowledged_ssus:
- _id: Bio
- _id: LifeSc
- _id: PreCl
- _id: EM-Fac
- _id: M-Shop
- _id: ScienComp
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Julia M
full_name: Michalska, Julia M
id: 443DB6DE-F248-11E8-B48F-1D18A9856A87
last_name: Michalska
orcid: 0000-0003-3862-1235
citation:
ama: Michalska JM. A versatile toolbox for the comprehensive analysis of nervous
tissue organization with light microscopy. 2023. doi:10.15479/at:ista:12470
apa: Michalska, J. M. (2023). A versatile toolbox for the comprehensive analysis
of nervous tissue organization with light microscopy. Institute of Science
and Technology Austria. https://doi.org/10.15479/at:ista:12470
chicago: Michalska, Julia M. “A Versatile Toolbox for the Comprehensive Analysis
of Nervous Tissue Organization with Light Microscopy.” Institute of Science and
Technology Austria, 2023. https://doi.org/10.15479/at:ista:12470.
ieee: J. M. Michalska, “A versatile toolbox for the comprehensive analysis of nervous
tissue organization with light microscopy,” Institute of Science and Technology
Austria, 2023.
ista: Michalska JM. 2023. A versatile toolbox for the comprehensive analysis of
nervous tissue organization with light microscopy. Institute of Science and Technology
Austria.
mla: Michalska, Julia M. A Versatile Toolbox for the Comprehensive Analysis of
Nervous Tissue Organization with Light Microscopy. Institute of Science and
Technology Austria, 2023, doi:10.15479/at:ista:12470.
short: J.M. Michalska, A Versatile Toolbox for the Comprehensive Analysis of Nervous
Tissue Organization with Light Microscopy, Institute of Science and Technology
Austria, 2023.
date_created: 2023-01-31T15:10:53Z
date_published: 2023-01-09T00:00:00Z
date_updated: 2023-08-31T12:26:58Z
day: '09'
ddc:
- '610'
degree_awarded: PhD
department:
- _id: GradSch
- _id: JoDa
doi: 10.15479/at:ista:12470
ec_funded: 1
file:
- access_level: open_access
checksum: 1a2306e5f59f52df598e7ecfadf921ac
content_type: application/pdf
creator: cchlebak
date_created: 2023-01-31T15:11:42Z
date_updated: 2023-07-27T22:30:54Z
embargo: 2023-07-09
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file_size: 41771714
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creator: cchlebak
date_created: 2023-01-31T15:11:51Z
date_updated: 2023-07-10T22:30:04Z
embargo_to: open_access
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file_size: 66983464
relation: source_file
file_date_updated: 2023-07-27T22:30:54Z
has_accepted_license: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: '201'
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
- _id: 26AA4EF2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: W1232-B24
name: Molecular Drug Targets
publication_identifier:
isbn:
- ' 978-3-99078-026-8'
issn:
- 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
record:
- id: '11943'
relation: part_of_dissertation
status: public
- id: '11950'
relation: part_of_dissertation
status: public
status: public
supervisor:
- first_name: Johann G
full_name: Danzl, Johann G
id: 42EFD3B6-F248-11E8-B48F-1D18A9856A87
last_name: Danzl
orcid: 0000-0001-8559-3973
title: A versatile toolbox for the comprehensive analysis of nervous tissue organization
with light microscopy
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: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2023'
...
---
_id: '12531'
abstract:
- lang: eng
text: "All visual experiences of the vertebrates begin with light being converted
into electrical signals\r\nby the eye retina. Retinal ganglion cells (RGCs) are
the neurons of the innermost layer of the\r\nmammal retina, and they transmit
visual information to the rest of the brain.\r\nIt has been shown that RGCs vary
in their morphology and genetic profiles, moreover they can\r\nbe unambiguously
grouped into subtypes that share the same morphological and/or molecular\r\nproperties.
However, in terms of RGCs function, it remains unclear how many distinct types\r\nthere
are and what response properties their typology relies on. Even given the recent
studies\r\nthat successfully classified RGCs in a patch of the retina [1] and
in scotopic conditions [2], the\r\nquestion remains whether the found subtypes
persist across the entire retina.\r\nIn this work, using a novel imaging method,
we show that, when sampled from a large portion\r\nof the retina, RGCs can not
be clearly divided into functional subtypes. We found that in\r\nphotopic conditions,
which implies more prominent natural scene statistic differences across\r\nthe
visual field, response properties can be exhibited by cells differently depending
on their\r\nlocation in the retina, which leads to formation of a gradient of
features rather than distinct\r\nclasses.\r\nThis finding suggests that RGCs follow
a global organization across the visual field of the\r\nanimal, adapting each
RGC subtype to the requirements imposed by the natural scene statistics."
alternative_title:
- ISTA Master's Thesis
article_processing_charge: No
author:
- first_name: Kseniia
full_name: Kirillova, Kseniia
id: 8e3f931e-dc85-11ea-9058-e7b957bf23f0
last_name: Kirillova
citation:
ama: Kirillova K. Panoramic functional gradients across the mouse retina. 2023.
doi:10.15479/at:ista:12531
apa: Kirillova, K. (2023). Panoramic functional gradients across the mouse retina.
Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:12531
chicago: Kirillova, Kseniia. “Panoramic Functional Gradients across the Mouse Retina.”
Institute of Science and Technology Austria, 2023. https://doi.org/10.15479/at:ista:12531.
ieee: K. Kirillova, “Panoramic functional gradients across the mouse retina,” Institute
of Science and Technology Austria, 2023.
ista: Kirillova K. 2023. Panoramic functional gradients across the mouse retina.
Institute of Science and Technology Austria.
mla: Kirillova, Kseniia. Panoramic Functional Gradients across the Mouse Retina.
Institute of Science and Technology Austria, 2023, doi:10.15479/at:ista:12531.
short: K. Kirillova, Panoramic Functional Gradients across the Mouse Retina, Institute
of Science and Technology Austria, 2023.
date_created: 2023-02-09T07:45:05Z
date_published: 2023-02-08T00:00:00Z
date_updated: 2024-02-09T23:30:04Z
day: '08'
ddc:
- '570'
degree_awarded: MS
department:
- _id: GradSch
- _id: MaJö
doi: 10.15479/at:ista:12531
file:
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checksum: 57d8da3a6c749eb1556b7435fe266a5f
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creator: cchlebak
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file_size: 11204408
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file_date_updated: 2024-02-09T23:30:03Z
has_accepted_license: '1'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: '46'
publication_identifier:
issn:
- 2791-4585
publication_status: published
publisher: Institute of Science and Technology Austria
status: public
supervisor:
- first_name: Maximilian A
full_name: Jösch, Maximilian A
id: 2BD278E6-F248-11E8-B48F-1D18A9856A87
last_name: Jösch
orcid: 0000-0002-3937-1330
title: Panoramic functional gradients across the mouse retina
tmp:
image: /images/cc_by_nc_sa.png
legal_code_url: https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC
BY-NC-SA 4.0)
short: CC BY-NC-SA (4.0)
type: dissertation
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2023'
...
---
_id: '12800'
abstract:
- lang: eng
text: 'The evolutionary processes that brought about today’s plethora of living
species and the many billions more ancient ones all underlie biology. Evolutionary
pathways are neither directed nor deterministic, but rather an interplay between
selection, migration, mutation, genetic drift and other environmental factors.
Hybrid zones, as natural crossing experiments, offer a great opportunity to use
cline analysis to deduce different evolutionary processes - for example, selection
strength. Theoretical cline models, largely assuming uniform distribution of individuals,
often lack the capability of incorporating population structure. Since in reality
organisms mostly live in patchy distributions and their dispersal is hardly ever
Gaussian, it is necessary to unravel the effect of these different elements of
population structure on cline parameters and shape. In this thesis, I develop
a simulation inspired by the A. majus hybrid zone of a single selected locus under
frequency dependent selection. This simulation enables us to untangle the effects
of different elements of population structure as for example a low-density center
and long-range dispersal. This thesis is therefore a first step towards theoretically
untangling the effects of different elements of population structure on cline
parameters and shape. '
alternative_title:
- ISTA Master's Thesis
article_processing_charge: No
author:
- first_name: Mara
full_name: Julseth, Mara
id: 1cf464b2-dc7d-11ea-9b2f-f9b1aa9417d1
last_name: Julseth
citation:
ama: Julseth M. The effect of local population structure on genetic variation at
selected loci in the A. majus hybrid zone. 2023. doi:10.15479/at:ista:12800
apa: Julseth, M. (2023). The effect of local population structure on genetic
variation at selected loci in the A. majus hybrid zone. Institute of Science
and Technology Austria. https://doi.org/10.15479/at:ista:12800
chicago: Julseth, Mara. “The Effect of Local Population Structure on Genetic Variation
at Selected Loci in the A. Majus Hybrid Zone.” Institute of Science and Technology
Austria, 2023. https://doi.org/10.15479/at:ista:12800.
ieee: M. Julseth, “The effect of local population structure on genetic variation
at selected loci in the A. majus hybrid zone,” Institute of Science and Technology
Austria, 2023.
ista: Julseth M. 2023. The effect of local population structure on genetic variation
at selected loci in the A. majus hybrid zone. Institute of Science and Technology
Austria.
mla: Julseth, Mara. The Effect of Local Population Structure on Genetic Variation
at Selected Loci in the A. Majus Hybrid Zone. Institute of Science and Technology
Austria, 2023, doi:10.15479/at:ista:12800.
short: M. Julseth, The Effect of Local Population Structure on Genetic Variation
at Selected Loci in the A. Majus Hybrid Zone, Institute of Science and Technology
Austria, 2023.
date_created: 2023-04-04T18:57:11Z
date_published: 2023-04-05T00:00:00Z
date_updated: 2023-06-02T22:30:05Z
day: '05'
ddc:
- '576'
degree_awarded: MS
department:
- _id: GradSch
- _id: NiBa
doi: 10.15479/at:ista:12800
file:
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date_created: 2023-04-06T06:11:27Z
date_updated: 2023-06-02T22:30:04Z
embargo: 2023-06-01
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creator: mjulseth
date_created: 2023-04-06T08:26:37Z
date_updated: 2023-06-02T22:30:04Z
embargo: 2023-06-01
file_id: '12813'
file_name: ThesisMaraJulseth_04_23.pdf
file_size: 1741364
relation: main_file
file_date_updated: 2023-06-02T22:30:04Z
has_accepted_license: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: '21'
publication_identifier:
issn:
- 2791-4585
publication_status: published
publisher: Institute of Science and Technology Austria
status: public
supervisor:
- first_name: Nicholas H
full_name: Barton, Nicholas H
id: 4880FE40-F248-11E8-B48F-1D18A9856A87
last_name: Barton
orcid: 0000-0002-8548-5240
title: The effect of local population structure on genetic variation at selected loci
in the A. majus hybrid zone
type: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2023'
...
---
_id: '14510'
acknowledged_ssus:
- _id: EM-Fac
- _id: Bio
- _id: LifeSc
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Nataliia
full_name: Gnyliukh, Nataliia
id: 390C1120-F248-11E8-B48F-1D18A9856A87
last_name: Gnyliukh
orcid: 0000-0002-2198-0509
citation:
ama: Gnyliukh N. Mechanism of clathrin-coated vesicle formation during endocytosis
in plants. 2023. doi:10.15479/at:ista:14510
apa: Gnyliukh, N. (2023). Mechanism of clathrin-coated vesicle formation during
endocytosis in plants. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:14510
chicago: Gnyliukh, Nataliia. “Mechanism of Clathrin-Coated Vesicle Formation during
Endocytosis in Plants.” Institute of Science and Technology Austria, 2023. https://doi.org/10.15479/at:ista:14510.
ieee: N. Gnyliukh, “Mechanism of clathrin-coated vesicle formation during endocytosis
in plants,” Institute of Science and Technology Austria, 2023.
ista: Gnyliukh N. 2023. Mechanism of clathrin-coated vesicle formation during endocytosis
in plants. Institute of Science and Technology Austria.
mla: Gnyliukh, Nataliia. Mechanism of Clathrin-Coated Vesicle Formation during
Endocytosis in Plants. Institute of Science and Technology Austria, 2023,
doi:10.15479/at:ista:14510.
short: N. Gnyliukh, Mechanism of Clathrin-Coated Vesicle Formation during Endocytosis
in Plants, Institute of Science and Technology Austria, 2023.
date_created: 2023-11-10T09:10:06Z
date_published: 2023-11-10T00:00:00Z
date_updated: 2024-03-27T23:30:45Z
day: '10'
ddc:
- '570'
degree_awarded: PhD
department:
- _id: GradSch
- _id: JiFr
- _id: MaLo
doi: 10.15479/at:ista:14510
ec_funded: 1
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creator: ngnyliuk
date_created: 2023-11-20T09:18:51Z
date_updated: 2023-11-20T09:18:51Z
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file_size: 20824903
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content_type: application/pdf
creator: ngnyliuk
date_created: 2023-11-20T09:23:11Z
date_updated: 2023-11-23T13:10:55Z
embargo: 2024-11-23
embargo_to: open_access
file_id: '14568'
file_name: Thesis_Gnyliukh_final_20_11_23.pdf
file_size: 24871844
relation: main_file
file_date_updated: 2023-11-23T13:10:55Z
has_accepted_license: '1'
keyword:
- Clathrin-Mediated Endocytosis
- vesicle scission
- Dynamin-Related Protein 2
- SH3P2
- TPLATE complex
- Total internal reflection fluorescence microscopy
- Arabidopsis thaliana
language:
- iso: eng
month: '11'
oa_version: Published Version
page: '180'
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication_identifier:
isbn:
- 978-3-99078-037-4
issn:
- 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
record:
- id: '14591'
relation: part_of_dissertation
status: public
- id: '9887'
relation: part_of_dissertation
status: public
- id: '8139'
relation: part_of_dissertation
status: public
status: public
supervisor:
- first_name: Jiří
full_name: Friml, Jiří
id: 4159519E-F248-11E8-B48F-1D18A9856A87
last_name: Friml
orcid: 0000-0002-8302-7596
- first_name: Martin
full_name: Loose, Martin
id: 462D4284-F248-11E8-B48F-1D18A9856A87
last_name: Loose
orcid: 0000-0001-7309-9724
title: Mechanism of clathrin-coated vesicle formation during endocytosis in plants
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: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2023'
...
---
_id: '12897'
abstract:
- lang: eng
text: "Inverse design problems in fabrication-aware shape optimization are typically
solved on discrete representations such as polygonal meshes. This thesis argues
that there are benefits to treating these problems in the same domain as human
designers, namely, the parametric one. One reason is that discretizing a parametric
model usually removes the capability of making further manual changes to the design,
because the human intent is captured by the shape parameters. Beyond this, knowledge
about a design problem can sometimes reveal a structure that is present in a smooth
representation, but is fundamentally altered by discretizing. In this case, working
in the parametric domain may even simplify the optimization task. We present two
lines of research that explore both of these aspects of fabrication-aware shape
optimization on parametric representations.\r\n\r\nThe first project studies the
design of plane elastic curves and Kirchhoff rods, which are common mathematical
models for describing the deformation of thin elastic rods such as beams, ribbons,
cables, and hair. Our main contribution is a characterization of all curved shapes
that can be attained by bending and twisting elastic rods having a stiffness that
is allowed to vary across the length. Elements like these can be manufactured
using digital fabrication devices such as 3d printers and digital cutters, and
have applications in free-form architecture and soft robotics.\r\n\r\nWe show
that the family of curved shapes that can be produced this way admits geometric
description that is concise and computationally convenient. In the case of plane
curves, the geometric description is intuitive enough to allow a designer to determine
whether a curved shape is physically achievable by visual inspection alone. We
also present shape optimization algorithms that convert a user-defined curve in
the plane or in three dimensions into the geometry of an elastic rod that will
naturally deform to follow this curve when its endpoints are attached to a support
structure. Implemented in an interactive software design tool, the rod geometry
is generated in real time as the user edits a curve and enables fast prototyping.
\r\n\r\nThe second project tackles the problem of general-purpose shape optimization
on CAD models using a novel variant of the extended finite element method (XFEM).
Our goal is the decoupling between the simulation mesh and the CAD model, so no
geometry-dependent meshing or remeshing needs to be performed when the CAD parameters
change during optimization. This is achieved by discretizing the embedding space
of the CAD model, and using a new high-accuracy numerical integration method to
enable XFEM on free-form elements bounded by the parametric surface patches of
the model. Our simulation is differentiable from the CAD parameters to the simulation
output, which enables us to use off-the-shelf gradient-based optimization procedures.
The result is a method that fits seamlessly into the CAD workflow because it works
on the same representation as the designer, enabling the alternation of manual
editing and fabrication-aware optimization at will."
acknowledged_ssus:
- _id: M-Shop
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Christian
full_name: Hafner, Christian
id: 400429CC-F248-11E8-B48F-1D18A9856A87
last_name: Hafner
citation:
ama: 'Hafner C. Inverse shape design with parametric representations: Kirchhoff
Rods and parametric surface models. 2023. doi:10.15479/at:ista:12897'
apa: 'Hafner, C. (2023). Inverse shape design with parametric representations:
Kirchhoff Rods and parametric surface models. Institute of Science and Technology
Austria. https://doi.org/10.15479/at:ista:12897'
chicago: 'Hafner, Christian. “Inverse Shape Design with Parametric Representations:
Kirchhoff Rods and Parametric Surface Models.” Institute of Science and Technology
Austria, 2023. https://doi.org/10.15479/at:ista:12897.'
ieee: 'C. Hafner, “Inverse shape design with parametric representations: Kirchhoff
Rods and parametric surface models,” Institute of Science and Technology Austria,
2023.'
ista: 'Hafner C. 2023. Inverse shape design with parametric representations: Kirchhoff
Rods and parametric surface models. Institute of Science and Technology Austria.'
mla: 'Hafner, Christian. Inverse Shape Design with Parametric Representations:
Kirchhoff Rods and Parametric Surface Models. Institute of Science and Technology
Austria, 2023, doi:10.15479/at:ista:12897.'
short: 'C. Hafner, Inverse Shape Design with Parametric Representations: Kirchhoff
Rods and Parametric Surface Models, Institute of Science and Technology Austria,
2023.'
date_created: 2023-05-05T10:40:14Z
date_published: 2023-05-05T00:00:00Z
date_updated: 2024-01-29T10:47:51Z
day: '05'
ddc:
- '516'
- '004'
- '518'
- '531'
degree_awarded: PhD
department:
- _id: GradSch
- _id: BeBi
doi: 10.15479/at:ista:12897
ec_funded: 1
file:
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creator: chafner
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date_updated: 2023-12-08T23:30:04Z
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date_updated: 2023-12-08T23:30:04Z
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file_size: 265319
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language:
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month: '05'
oa: 1
oa_version: Published Version
page: '180'
project:
- _id: 24F9549A-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '715767'
name: 'MATERIALIZABLE: Intelligent fabrication-oriented Computational Design and
Modeling'
publication_identifier:
isbn:
- 978-3-99078-031-2
issn:
- 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
record:
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relation: part_of_dissertation
status: public
- id: '7117'
relation: part_of_dissertation
status: public
- id: '13188'
relation: dissertation_contains
status: public
status: public
supervisor:
- first_name: Bernd
full_name: Bickel, Bernd
id: 49876194-F248-11E8-B48F-1D18A9856A87
last_name: Bickel
orcid: 0000-0001-6511-9385
title: 'Inverse shape design with parametric representations: Kirchhoff Rods and parametric
surface models'
type: dissertation
user_id: 400429CC-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '12072'
abstract:
- lang: eng
text: "In this thesis, we study two of the most important questions in Arithmetic
geometry: that of the existence and density of solutions to Diophantine equations.
In order for a Diophantine equation to have any solutions over the rational numbers,
it must have solutions everywhere locally, i.e., over R and over Qp for every
prime p. The converse, called the Hasse principle, is known to fail in general.
However, it is still a central question in Arithmetic geometry to determine for
which varieties the Hasse principle does hold. In this work, we establish the
Hasse principle for a wide new family of varieties of the form f(t) = NK/Q(x)
̸= 0, where f is a polynomial with integer coefficients and NK/Q denotes the norm\r\nform
associated to a number field K. Our results cover products of arbitrarily many
linear, quadratic or cubic factors, and generalise an argument of Irving [69],
which makes use of the beta sieve of Rosser and Iwaniec. We also demonstrate how
our main sieve results can be applied to treat new cases of a conjecture of Harpaz
and Wittenberg on locally split values of polynomials over number fields, and
discuss consequences for rational points in fibrations.\r\nIn the second question,
about the density of solutions, one defines a height function and seeks to estimate
asymptotically the number of points of height bounded by B as B → ∞. Traditionally,
one either counts rational points, or\r\nintegral points with respect to a suitable
model. However, in this thesis, we study an emerging area of interest in Arithmetic
geometry known as Campana points, which in some sense interpolate between rational
and integral points.\r\nMore precisely, we count the number of nonzero integers
z1, z2, z3 such that gcd(z1, z2, z3) = 1, and z1, z2, z3, z1 + z2 + z3 are all
squareful and bounded by B. Using the circle method, we obtain an asymptotic formula
which agrees in\r\nthe power of B and log B with a bold new generalisation of
Manin’s conjecture to the setting of Campana points, recently formulated by Pieropan,
Smeets, Tanimoto and Várilly-Alvarado [96]. However, in this thesis we also provide
the first known counterexamples to leading constant predicted by their conjecture. "
acknowledgement: I acknowledge the received funding from the European Union’s Horizon
2020 research and innovation programme under the Marie Sklodowska Curie Grant Agreement
No. 665385.
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Alec L
full_name: Shute, Alec L
id: 440EB050-F248-11E8-B48F-1D18A9856A87
last_name: Shute
orcid: 0000-0002-1812-2810
citation:
ama: 'Shute AL. Existence and density problems in Diophantine geometry: From norm
forms to Campana points. 2022. doi:10.15479/at:ista:12072'
apa: 'Shute, A. L. (2022). Existence and density problems in Diophantine geometry:
From norm forms to Campana points. Institute of Science and Technology Austria.
https://doi.org/10.15479/at:ista:12072'
chicago: 'Shute, Alec L. “Existence and Density Problems in Diophantine Geometry:
From Norm Forms to Campana Points.” Institute of Science and Technology Austria,
2022. https://doi.org/10.15479/at:ista:12072.'
ieee: 'A. L. Shute, “Existence and density problems in Diophantine geometry: From
norm forms to Campana points,” Institute of Science and Technology Austria, 2022.'
ista: 'Shute AL. 2022. Existence and density problems in Diophantine geometry: From
norm forms to Campana points. Institute of Science and Technology Austria.'
mla: 'Shute, Alec L. Existence and Density Problems in Diophantine Geometry:
From Norm Forms to Campana Points. Institute of Science and Technology Austria,
2022, doi:10.15479/at:ista:12072.'
short: 'A.L. Shute, Existence and Density Problems in Diophantine Geometry: From
Norm Forms to Campana Points, Institute of Science and Technology Austria, 2022.'
date_created: 2022-09-08T21:53:03Z
date_published: 2022-09-08T00:00:00Z
date_updated: 2023-02-21T16:37:35Z
day: '08'
ddc:
- '512'
degree_awarded: PhD
department:
- _id: GradSch
- _id: TiBr
doi: 10.15479/at:ista:12072
ec_funded: 1
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oa: 1
oa_version: Published Version
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call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication_identifier:
isbn:
- 978-3-99078-023-7
issn:
- 2663-337X
publication_status: published
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supervisor:
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full_name: Browning, Timothy D
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
title: 'Existence and density problems in Diophantine geometry: From norm forms to
Campana points'
tmp:
image: /images/cc_by_nc_sa.png
legal_code_url: https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC
BY-NC-SA 4.0)
short: CC BY-NC-SA (4.0)
type: dissertation
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2022'
...
---
_id: '11777'
abstract:
- lang: eng
text: "In this dissertation we study coboundary expansion of simplicial complex
with a view of giving geometric applications.\r\nOur main novel tool is an equivariant
version of Gromov's celebrated Topological Overlap Theorem. The equivariant topological
overlap theorem leads to various geometric applications including a quantitative
non-embeddability result for sufficiently thick buildings (which partially resolves
a conjecture of Tancer and Vorwerk) and an improved lower bound on the pair-crossing
number of (bounded degree) expander graphs. Additionally, we will give new proofs
for several known lower bounds for geometric problems such as the number of Tverberg
partitions or the crossing number of complete bipartite graphs.\r\nFor the aforementioned
applications one is naturally lead to study expansion properties of joins of simplicial
complexes. In the presence of a special certificate for expansion (as it is the
case, e.g., for spherical buildings), the join of two expanders is an expander.
On the flip-side, we report quite some evidence that coboundary expansion exhibits
very non-product-like behaviour under taking joins. For instance, we exhibit infinite
families of graphs $(G_n)_{n\\in \\mathbb{N}}$ and $(H_n)_{n\\in\\mathbb{N}}$
whose join $G_n*H_n$ has expansion of lower order than the product of the expansion
constant of the graphs. Moreover, we show an upper bound of $(d+1)/2^d$ on the
normalized coboundary expansion constants for the complete multipartite complex
$[n]^{*(d+1)}$ (under a mild divisibility condition on $n$).\r\nVia the probabilistic
method the latter result extends to an upper bound of $(d+1)/2^d+\\varepsilon$
on the coboundary expansion constant of the spherical building associated with
$\\mathrm{PGL}_{d+2}(\\mathbb{F}_q)$ for any $\\varepsilon>0$ and sufficiently
large $q=q(\\varepsilon)$. This disproves a conjecture of Lubotzky, Meshulam and
Mozes -- in a rather strong sense.\r\nBy improving on existing lower bounds we
make further progress towards closing the gap between the known lower and upper
bounds on the coboundary expansion constants of $[n]^{*(d+1)}$. The best improvements
we achieve using computer-aided proofs and flag algebras. The exact value even
for the complete $3$-partite $2$-dimensional complex $[n]^{*3}$ remains unknown
but we are happy to conjecture a precise value for every $n$. %Moreover, we show
that a previously shown lower bound on the expansion constant of the spherical
building associated with $\\mathrm{PGL}_{2}(\\mathbb{F}_q)$ is not tight.\r\nIn
a loosely structured, last chapter of this thesis we collect further smaller observations
related to expansion. We point out a link between discrete Morse theory and a
technique for showing coboundary expansion, elaborate a bit on the hardness of
computing coboundary expansion constants, propose a new criterion for coboundary
expansion (in a very dense setting) and give one way of making the folklore result
that expansion of links is a necessary condition for a simplicial complex to be
an expander precise."
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Pascal
full_name: Wild, Pascal
id: 4C20D868-F248-11E8-B48F-1D18A9856A87
last_name: Wild
citation:
ama: Wild P. High-dimensional expansion and crossing numbers of simplicial complexes.
2022. doi:10.15479/at:ista:11777
apa: Wild, P. (2022). High-dimensional expansion and crossing numbers of simplicial
complexes. Institute of Science and Technology. https://doi.org/10.15479/at:ista:11777
chicago: Wild, Pascal. “High-Dimensional Expansion and Crossing Numbers of Simplicial
Complexes.” Institute of Science and Technology, 2022. https://doi.org/10.15479/at:ista:11777.
ieee: P. Wild, “High-dimensional expansion and crossing numbers of simplicial complexes,”
Institute of Science and Technology, 2022.
ista: Wild P. 2022. High-dimensional expansion and crossing numbers of simplicial
complexes. Institute of Science and Technology.
mla: Wild, Pascal. High-Dimensional Expansion and Crossing Numbers of Simplicial
Complexes. Institute of Science and Technology, 2022, doi:10.15479/at:ista:11777.
short: P. Wild, High-Dimensional Expansion and Crossing Numbers of Simplicial Complexes,
Institute of Science and Technology, 2022.
date_created: 2022-08-10T15:51:19Z
date_published: 2022-08-11T00:00:00Z
date_updated: 2023-06-22T09:56:36Z
day: '11'
ddc:
- '500'
- '516'
- '514'
degree_awarded: PhD
department:
- _id: GradSch
- _id: UlWa
doi: 10.15479/at:ista:11777
ec_funded: 1
file:
- access_level: open_access
checksum: f5f3af1fb7c8a24b71ddc88ad7f7c5b4
content_type: text/x-python
creator: pwild
date_created: 2022-08-10T15:34:04Z
date_updated: 2022-08-10T15:34:04Z
description: Code for computer-assisted proofs in Section 8.4.7 in Thesis
file_id: '11780'
file_name: flags.py
file_size: 16828
relation: supplementary_material
- access_level: open_access
checksum: 1f7c12dfe3bdaa9b147e4fbc3d34e3d5
content_type: text/x-c++src
creator: pwild
date_created: 2022-08-10T15:34:10Z
date_updated: 2022-08-10T15:34:10Z
description: Code for proof of Lemma 8.20 in Thesis
file_id: '11781'
file_name: lowerbound.cpp
file_size: 12226
relation: supplementary_material
- access_level: open_access
checksum: 4cf81455c49e5dec3b9b2e3980137eeb
content_type: text/x-python
creator: pwild
date_created: 2022-08-10T15:34:17Z
date_updated: 2022-08-10T15:34:17Z
description: Code for proof of Proposition 7.9 in Thesis
file_id: '11782'
file_name: upperbound.py
file_size: 3240
relation: supplementary_material
- access_level: open_access
checksum: 4e96575b10cbe4e0d0db2045b2847774
content_type: application/pdf
creator: pwild
date_created: 2022-08-11T16:08:33Z
date_updated: 2022-08-11T16:08:33Z
file_id: '11809'
file_name: finalthesisPascalWildPDFA.pdf
file_size: 5086282
relation: main_file
title: High-Dimensional Expansion and Crossing Numbers of Simplicial Complexes
- access_level: closed
checksum: 92d94842a1fb6dca5808448137573b2e
content_type: application/zip
creator: pwild
date_created: 2022-08-11T16:09:19Z
date_updated: 2022-08-11T16:09:19Z
file_id: '11810'
file_name: ThesisSubmission.zip
file_size: 18150068
relation: source_file
file_date_updated: 2022-08-11T16:09:19Z
has_accepted_license: '1'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
page: '170'
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication_identifier:
isbn:
- 978-3-99078-021-3
issn:
- 2663-337X
publication_status: published
publisher: Institute of Science and Technology
status: public
supervisor:
- first_name: Uli
full_name: Wagner, Uli
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
title: High-dimensional expansion and crossing numbers of simplicial complexes
type: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2022'
...