---
_id: '12286'
abstract:
- lang: eng
text: "Inspired by the study of loose cycles in hypergraphs, we define the loose
core in hypergraphs as a structurewhich mirrors the close relationship between
cycles and $2$-cores in graphs. We prove that in the $r$-uniform binomial random
hypergraph $H^r(n,p)$, the order of the loose core undergoes a phase transition
at a certain critical threshold and determine this order, as well as the number
of edges, asymptotically in the subcritical and supercritical regimes.
\r\nOur
main tool is an algorithm called CoreConstruct, which enables us to analyse a
peeling process for the loose core. By analysing this algorithm we determine the
asymptotic degree distribution of vertices in the loose core and in particular
how many vertices and edges the loose core contains. As a corollary we obtain
an improved upper bound on the length of the longest loose cycle in $H^r(n,p)$."
acknowledgement: 'Supported by Austrian Science Fund (FWF): I3747, W1230.'
article_number: P4.13
article_processing_charge: No
article_type: original
author:
- first_name: Oliver
full_name: Cooley, Oliver
id: 43f4ddd0-a46b-11ec-8df6-ef3703bd721d
last_name: Cooley
- first_name: Mihyun
full_name: Kang, Mihyun
last_name: Kang
- first_name: Julian
full_name: Zalla, Julian
last_name: Zalla
citation:
ama: Cooley O, Kang M, Zalla J. Loose cores and cycles in random hypergraphs. The
Electronic Journal of Combinatorics. 2022;29(4). doi:10.37236/10794
apa: Cooley, O., Kang, M., & Zalla, J. (2022). Loose cores and cycles in random
hypergraphs. The Electronic Journal of Combinatorics. Electronic Journal
of Combinatorics. https://doi.org/10.37236/10794
chicago: Cooley, Oliver, Mihyun Kang, and Julian Zalla. “Loose Cores and Cycles
in Random Hypergraphs.” The Electronic Journal of Combinatorics. Electronic
Journal of Combinatorics, 2022. https://doi.org/10.37236/10794.
ieee: O. Cooley, M. Kang, and J. Zalla, “Loose cores and cycles in random hypergraphs,”
The Electronic Journal of Combinatorics, vol. 29, no. 4. Electronic Journal
of Combinatorics, 2022.
ista: Cooley O, Kang M, Zalla J. 2022. Loose cores and cycles in random hypergraphs.
The Electronic Journal of Combinatorics. 29(4), P4.13.
mla: Cooley, Oliver, et al. “Loose Cores and Cycles in Random Hypergraphs.” The
Electronic Journal of Combinatorics, vol. 29, no. 4, P4.13, Electronic Journal
of Combinatorics, 2022, doi:10.37236/10794.
short: O. Cooley, M. Kang, J. Zalla, The Electronic Journal of Combinatorics 29
(2022).
date_created: 2023-01-16T10:03:57Z
date_published: 2022-10-21T00:00:00Z
date_updated: 2026-08-04T09:29:03Z
day: '21'
ddc:
- '510'
department:
- _id: MaKw
doi: 10.37236/10794
external_id:
isi:
- '000876763300001'
file:
- access_level: open_access
checksum: 00122b2459f09b5ae43073bfba565e94
content_type: application/pdf
creator: dernst
date_created: 2023-01-30T11:45:13Z
date_updated: 2023-01-30T11:45:13Z
file_id: '12462'
file_name: 2022_ElecJournCombinatorics_Cooley_Kang_Zalla.pdf
file_size: 626953
relation: main_file
success: 1
file_date_updated: 2023-01-30T11:45:13Z
fulldoi: https://doi.org/10.37236/10794
has_accepted_license: '1'
intvolume: ' 29'
isi: 1
issue: '4'
keyword:
- Computational Theory and Mathematics
- Geometry and Topology
- Theoretical Computer Science
- Applied Mathematics
- Discrete Mathematics and Combinatorics
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
publication: The Electronic Journal of Combinatorics
publication_identifier:
eissn:
- 1077-8926
publication_status: published
publisher: Electronic Journal of Combinatorics
quality_controlled: '1'
scopus_import: '1'
status: public
title: Loose cores and cycles in random hypergraphs
tmp:
image: /image/cc_by_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode
name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)
short: CC BY-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 29
year: '2022'
...
---
_id: '10856'
abstract:
- lang: eng
text: "We study the properties of the maximal volume k-dimensional sections of the
n-dimensional cube [−1, 1]n. We obtain a first order necessary condition for a
k-dimensional subspace to be a local maximizer of the volume of such sections,
which we formulate in a geometric way. We estimate the length of the projection
of a vector of the standard basis of Rn onto a k-dimensional subspace that maximizes
the volume of the intersection. We \x1Cnd the optimal upper bound on the volume
of a planar section of the cube [−1, 1]n , n ≥ 2."
acknowledgement: "The authors acknowledge the support of the grant of the Russian
Government N 075-15-\r\n2019-1926. G.I.was supported also by the SwissNational Science
Foundation grant 200021-179133. The authors are very grateful to the anonymous reviewer
for valuable remarks."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Grigory
full_name: Ivanov, Grigory
id: 87744F66-5C6F-11EA-AFE0-D16B3DDC885E
last_name: Ivanov
- first_name: Igor
full_name: Tsiutsiurupa, Igor
last_name: Tsiutsiurupa
citation:
ama: Ivanov G, Tsiutsiurupa I. On the volume of sections of the cube. Analysis
and Geometry in Metric Spaces. 2021;9(1):1-18. doi:10.1515/agms-2020-0103
apa: Ivanov, G., & Tsiutsiurupa, I. (2021). On the volume of sections of the
cube. Analysis and Geometry in Metric Spaces. De Gruyter. https://doi.org/10.1515/agms-2020-0103
chicago: Ivanov, Grigory, and Igor Tsiutsiurupa. “On the Volume of Sections of the
Cube.” Analysis and Geometry in Metric Spaces. De Gruyter, 2021. https://doi.org/10.1515/agms-2020-0103.
ieee: G. Ivanov and I. Tsiutsiurupa, “On the volume of sections of the cube,” Analysis
and Geometry in Metric Spaces, vol. 9, no. 1. De Gruyter, pp. 1–18, 2021.
ista: Ivanov G, Tsiutsiurupa I. 2021. On the volume of sections of the cube. Analysis
and Geometry in Metric Spaces. 9(1), 1–18.
mla: Ivanov, Grigory, and Igor Tsiutsiurupa. “On the Volume of Sections of the Cube.”
Analysis and Geometry in Metric Spaces, vol. 9, no. 1, De Gruyter, 2021,
pp. 1–18, doi:10.1515/agms-2020-0103.
short: G. Ivanov, I. Tsiutsiurupa, Analysis and Geometry in Metric Spaces 9 (2021)
1–18.
date_created: 2022-03-18T09:25:14Z
date_published: 2021-01-29T00:00:00Z
date_updated: 2023-08-17T07:07:58Z
day: '29'
ddc:
- '510'
department:
- _id: UlWa
doi: 10.1515/agms-2020-0103
external_id:
arxiv:
- '2004.02674'
isi:
- '000734286800001'
file:
- access_level: open_access
checksum: 7e615ac8489f5eae580b6517debfdc53
content_type: application/pdf
creator: dernst
date_created: 2022-03-18T09:31:59Z
date_updated: 2022-03-18T09:31:59Z
file_id: '10857'
file_name: 2021_AnalysisMetricSpaces_Ivanov.pdf
file_size: 789801
relation: main_file
success: 1
file_date_updated: 2022-03-18T09:31:59Z
fulldoi: https://doi.org/10.1515/agms-2020-0103
has_accepted_license: '1'
intvolume: ' 9'
isi: 1
issue: '1'
keyword:
- Applied Mathematics
- Geometry and Topology
- Analysis
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 1-18
publication: Analysis and Geometry in Metric Spaces
publication_identifier:
issn:
- 2299-3274
publication_status: published
publisher: De Gruyter
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the volume of sections of the cube
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 9
year: '2021'
...
---
_id: '10860'
abstract:
- lang: eng
text: A tight frame is the orthogonal projection of some orthonormal basis of Rn
onto Rk. We show that a set of vectors is a tight frame if and only if the set
of all cross products of these vectors is a tight frame. We reformulate a range
of problems on the volume of projections (or sections) of regular polytopes in
terms of tight frames and write a first-order necessary condition for local extrema
of these problems. As applications, we prove new results for the problem of maximization
of the volume of zonotopes.
acknowledgement: The author was supported by the Swiss National Science Foundation
grant 200021_179133. The author acknowledges the financial support from the Ministry
of Education and Science of the Russian Federation in the framework of MegaGrant
no. 075-15-2019-1926.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Grigory
full_name: Ivanov, Grigory
id: 87744F66-5C6F-11EA-AFE0-D16B3DDC885E
last_name: Ivanov
citation:
ama: Ivanov G. Tight frames and related geometric problems. Canadian Mathematical
Bulletin. 2021;64(4):942-963. doi:10.4153/s000843952000096x
apa: Ivanov, G. (2021). Tight frames and related geometric problems. Canadian
Mathematical Bulletin. Canadian Mathematical Society. https://doi.org/10.4153/s000843952000096x
chicago: Ivanov, Grigory. “Tight Frames and Related Geometric Problems.” Canadian
Mathematical Bulletin. Canadian Mathematical Society, 2021. https://doi.org/10.4153/s000843952000096x.
ieee: G. Ivanov, “Tight frames and related geometric problems,” Canadian Mathematical
Bulletin, vol. 64, no. 4. Canadian Mathematical Society, pp. 942–963, 2021.
ista: Ivanov G. 2021. Tight frames and related geometric problems. Canadian Mathematical
Bulletin. 64(4), 942–963.
mla: Ivanov, Grigory. “Tight Frames and Related Geometric Problems.” Canadian
Mathematical Bulletin, vol. 64, no. 4, Canadian Mathematical Society, 2021,
pp. 942–63, doi:10.4153/s000843952000096x.
short: G. Ivanov, Canadian Mathematical Bulletin 64 (2021) 942–963.
corr_author: '1'
date_created: 2022-03-18T09:55:59Z
date_published: 2021-12-18T00:00:00Z
date_updated: 2024-10-09T21:01:50Z
day: '18'
department:
- _id: UlWa
doi: 10.4153/s000843952000096x
external_id:
arxiv:
- '1804.10055'
isi:
- '000730165300021'
fulldoi: https://doi.org/10.4153/s000843952000096x
intvolume: ' 64'
isi: 1
issue: '4'
keyword:
- General Mathematics
- Tight frame
- Grassmannian
- zonotope
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1804.10055
month: '12'
oa: 1
oa_version: Preprint
page: 942-963
publication: Canadian Mathematical Bulletin
publication_identifier:
eissn:
- 1496-4287
issn:
- 0008-4395
publication_status: published
publisher: Canadian Mathematical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Tight frames and related geometric problems
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 64
year: '2021'
...
---
_id: '11446'
abstract:
- lang: eng
text: Suppose that n is not a prime power and not twice a prime power. We prove
that for any Hausdorff compactum X with a free action of the symmetric group Sn,
there exists an Sn-equivariant map X→Rn whose image avoids the diagonal {(x,x,…,x)∈Rn∣x∈R}.
Previously, the special cases of this statement for certain X were usually proved
using the equivartiant obstruction theory. Such calculations are difficult and
may become infeasible past the first (primary) obstruction. We take a different
approach which allows us to prove the vanishing of all obstructions simultaneously.
The essential step in the proof is classifying the possible degrees of Sn-equivariant
maps from the boundary ∂Δn−1 of (n−1)-simplex to itself. Existence of equivariant
maps between spaces is important for many questions arising from discrete mathematics
and geometry, such as Kneser’s conjecture, the Square Peg conjecture, the Splitting
Necklace problem, and the Topological Tverberg conjecture, etc. We demonstrate
the utility of our result applying it to one such question, a specific instance
of envy-free division problem.
acknowledgement: S. Avvakumov has received funding from the European Research Council
under the European Union’s Seventh Framework Programme ERC Grant agreement ERC StG
716424–CASe. S. Kudrya was supported by the Austrian Academic Exchange Service (OeAD),
ICM-2019-13577.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Sergey
full_name: Avvakumov, Sergey
id: 3827DAC8-F248-11E8-B48F-1D18A9856A87
last_name: Avvakumov
orcid: 0000-0002-7840-5062
- first_name: Sergey
full_name: Kudrya, Sergey
id: ecf01965-d252-11ea-95a5-8ada5f6c6a67
last_name: Kudrya
citation:
ama: Avvakumov S, Kudrya S. Vanishing of all equivariant obstructions and the mapping
degree. Discrete & Computational Geometry. 2021;66(3):1202-1216. doi:10.1007/s00454-021-00299-z
apa: Avvakumov, S., & Kudrya, S. (2021). Vanishing of all equivariant obstructions
and the mapping degree. Discrete & Computational Geometry. Springer
Nature. https://doi.org/10.1007/s00454-021-00299-z
chicago: Avvakumov, Sergey, and Sergey Kudrya. “Vanishing of All Equivariant Obstructions
and the Mapping Degree.” Discrete & Computational Geometry. Springer
Nature, 2021. https://doi.org/10.1007/s00454-021-00299-z.
ieee: S. Avvakumov and S. Kudrya, “Vanishing of all equivariant obstructions and
the mapping degree,” Discrete & Computational Geometry, vol. 66, no.
3. Springer Nature, pp. 1202–1216, 2021.
ista: Avvakumov S, Kudrya S. 2021. Vanishing of all equivariant obstructions and
the mapping degree. Discrete & Computational Geometry. 66(3), 1202–1216.
mla: Avvakumov, Sergey, and Sergey Kudrya. “Vanishing of All Equivariant Obstructions
and the Mapping Degree.” Discrete & Computational Geometry, vol. 66,
no. 3, Springer Nature, 2021, pp. 1202–16, doi:10.1007/s00454-021-00299-z.
short: S. Avvakumov, S. Kudrya, Discrete & Computational Geometry 66 (2021)
1202–1216.
corr_author: '1'
date_created: 2022-06-17T08:45:15Z
date_published: 2021-10-01T00:00:00Z
date_updated: 2025-04-14T09:10:06Z
day: '01'
doi: 10.1007/s00454-021-00299-z
extern: '1'
external_id:
arxiv:
- '1910.12628'
fulldoi: https://doi.org/10.1007/s00454-021-00299-z
intvolume: ' 66'
issue: '3'
keyword:
- Computational Theory and Mathematics
- Discrete Mathematics and Combinatorics
- Geometry and Topology
- Theoretical Computer Science
language:
- iso: eng
month: '10'
oa_version: Preprint
page: 1202-1216
publication: Discrete & Computational Geometry
publication_identifier:
eissn:
- 1432-0444
issn:
- 0179-5376
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '8182'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Vanishing of all equivariant obstructions and the mapping degree
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 66
year: '2021'
...
---
_id: '15271'
abstract:
- lang: eng
text: 'We settle the complexity of the (∆ + 1)-coloring and (∆ + 1)-list coloring
problems intheCONGESTED CLIQUEmodel by presenting a simpledeterministicalgorithm
for both problemsrunning in a constant number of rounds. This matches the complexity
of the recent breakthroughrandomizedconstant-round (∆ + 1)-list coloring algorithm
due to Chang et al. [Proceedings of the38th ACM Symposium on Principles of Distributed Computing, 2019] and significantly improvesupon
the state-of-the-artO(log ∆)-round deterministic (∆ + 1)-coloring bound of Parter
[Proceed-ings of the 45th Annual International Colloquium on Automata, Languages
and Programming]. Aremarkable property of our algorithm is its simplicity. Whereas
the state-of-the-artrandomizedal-gorithms for this problem are based on the quite
involved local coloring algorithm of Chang, Li, andPettie [Proceedings of the
50th Annual ACM SIGACT Symposium on Theory of Computing, 2018],our algorithm can
be described in just a few lines. At a high level, it applies a careful derandomiza-tion
of a recursive procedure which partitions the nodes and their respective palettes
into separatebins. We show that afterO(1) recursion steps, the remaining uncolored
subgraph within each bin haslinear size and thus can be solved locally by collecting
it to a single node. This algorithm can alsobe implemented in the massively parallel
computation (MPC) model provided that each machine haslinear (inn, the number
of nodes in the input graph) space. We also show an extension of our algo-rithm
to theMPCregime, in which machines havesublinearspace: we present the first deterministic(∆
+ 1)-list coloring algorithm designed for sublinear-spaceMPC, which runs inO(log
∆ + log logn)rounds.'
acknowledgement: The first author was partially supported by the Centre for Discrete Mathematics
and its Applications, by the IBM Faculty Award, and by the EPSRC award EP/N011163/1. The
second author was partially supported by the European Union’s Horizon 2020 research
and innovation program under the Marie Sklodowska-Curie grant agreement 754411. The
first and third authors were partially supported by a Weizmann-UK Making Connections
grant.
article_processing_charge: No
article_type: original
author:
- first_name: Artur
full_name: Czumaj, Artur
last_name: Czumaj
- first_name: Peter
full_name: Davies, Peter
id: 11396234-BB50-11E9-B24C-90FCE5697425
last_name: Davies
orcid: 0000-0002-5646-9524
- first_name: Merav
full_name: Parter, Merav
last_name: Parter
citation:
ama: Czumaj A, Davies P, Parter M. Simple, deterministic, constant-round coloring
in congested clique and MPC. SIAM Journal on Computing. 2021;50(5):1603-1626.
doi:10.1137/20m1366502
apa: Czumaj, A., Davies, P., & Parter, M. (2021). Simple, deterministic, constant-round
coloring in congested clique and MPC. SIAM Journal on Computing. Society
for Industrial and Applied Mathematics. https://doi.org/10.1137/20m1366502
chicago: Czumaj, Artur, Peter Davies, and Merav Parter. “Simple, Deterministic,
Constant-Round Coloring in Congested Clique and MPC.” SIAM Journal on Computing.
Society for Industrial and Applied Mathematics, 2021. https://doi.org/10.1137/20m1366502.
ieee: A. Czumaj, P. Davies, and M. Parter, “Simple, deterministic, constant-round
coloring in congested clique and MPC,” SIAM Journal on Computing, vol.
50, no. 5. Society for Industrial and Applied Mathematics, pp. 1603–1626, 2021.
ista: Czumaj A, Davies P, Parter M. 2021. Simple, deterministic, constant-round
coloring in congested clique and MPC. SIAM Journal on Computing. 50(5), 1603–1626.
mla: Czumaj, Artur, et al. “Simple, Deterministic, Constant-Round Coloring in Congested
Clique and MPC.” SIAM Journal on Computing, vol. 50, no. 5, Society for
Industrial and Applied Mathematics, 2021, pp. 1603–26, doi:10.1137/20m1366502.
short: A. Czumaj, P. Davies, M. Parter, SIAM Journal on Computing 50 (2021) 1603–1626.
date_created: 2024-04-03T07:53:22Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2025-09-10T10:14:11Z
day: '01'
department:
- _id: DaAl
doi: 10.1137/20m1366502
ec_funded: 1
external_id:
isi:
- '000713008600004'
fulldoi: https://doi.org/10.1137/20m1366502
intvolume: ' 50'
isi: 1
issue: '5'
keyword:
- General Mathematics
- General Computer Science
language:
- iso: eng
month: '01'
oa_version: None
page: 1603-1626
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: SIAM Journal on Computing
publication_identifier:
eissn:
- 1095-7111
issn:
- 0097-5397
publication_status: published
publisher: Society for Industrial and Applied Mathematics
quality_controlled: '1'
scopus_import: '1'
status: public
title: Simple, deterministic, constant-round coloring in congested clique and MPC
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 50
year: '2021'
...
---
_id: '15275'
abstract:
- lang: eng
text: In 1916, Schur introduced the Ramsey number r(3; m), which is the minimum
integer n > 1 such that for any m-coloring of the edges of the complete graph
Kn, there is a monochromatic copy of K3. He showed that r(3; m) ≤ O(m!), and a
simple construction demonstrates that r(3; m) ≥ 2Ω(m). An old conjecture of Erdős
states that r(3; m) = 2Θ(m). In this note, we prove the conjecture for m-colorings
with bounded VC-dimension, that is, for m-colorings with the property that the
set system induced by the neighborhoods of the vertices with respect to each color
class has bounded VC-dimension.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Jacob
full_name: Fox, Jacob
last_name: Fox
- first_name: János
full_name: Pach, János
id: E62E3130-B088-11EA-B919-BF823C25FEA4
last_name: Pach
- first_name: Andrew
full_name: Suk, Andrew
last_name: Suk
citation:
ama: Fox J, Pach J, Suk A. Bounded VC-dimension implies the Schur-Erdős conjecture.
Combinatorica. 2021;41(6):803-813. doi:10.1007/s00493-021-4530-9
apa: Fox, J., Pach, J., & Suk, A. (2021). Bounded VC-dimension implies the Schur-Erdős
conjecture. Combinatorica. Springer Nature. https://doi.org/10.1007/s00493-021-4530-9
chicago: Fox, Jacob, János Pach, and Andrew Suk. “Bounded VC-Dimension Implies the
Schur-Erdős Conjecture.” Combinatorica. Springer Nature, 2021. https://doi.org/10.1007/s00493-021-4530-9.
ieee: J. Fox, J. Pach, and A. Suk, “Bounded VC-dimension implies the Schur-Erdős
conjecture,” Combinatorica, vol. 41, no. 6. Springer Nature, pp. 803–813,
2021.
ista: Fox J, Pach J, Suk A. 2021. Bounded VC-dimension implies the Schur-Erdős conjecture.
Combinatorica. 41(6), 803–813.
mla: Fox, Jacob, et al. “Bounded VC-Dimension Implies the Schur-Erdős Conjecture.”
Combinatorica, vol. 41, no. 6, Springer Nature, 2021, pp. 803–13, doi:10.1007/s00493-021-4530-9.
short: J. Fox, J. Pach, A. Suk, Combinatorica 41 (2021) 803–813.
date_created: 2024-04-03T07:59:57Z
date_published: 2021-11-20T00:00:00Z
date_updated: 2024-04-09T10:40:08Z
day: '20'
department:
- _id: HeEd
doi: 10.1007/s00493-021-4530-9
external_id:
arxiv:
- '1912.02342'
fulldoi: https://doi.org/10.1007/s00493-021-4530-9
intvolume: ' 41'
issue: '6'
keyword:
- Computational Mathematics
- Discrete Mathematics and Combinatorics
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.1912.02342
month: '11'
oa: 1
oa_version: Preprint
page: 803-813
publication: Combinatorica
publication_identifier:
eissn:
- 1439-6912
issn:
- 0209-9683
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
status: public
title: Bounded VC-dimension implies the Schur-Erdős conjecture
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 41
year: '2021'
...
---
_id: '10549'
abstract:
- lang: eng
text: We derive optimal-order homogenization rates for random nonlinear elliptic
PDEs with monotone nonlinearity in the uniformly elliptic case. More precisely,
for a random monotone operator on \mathbb {R}^d with stationary law (that is spatially
homogeneous statistics) and fast decay of correlations on scales larger than the
microscale \varepsilon >0, we establish homogenization error estimates of the
order \varepsilon in case d\geqq 3, and of the order \varepsilon |\log \varepsilon
|^{1/2} in case d=2. Previous results in nonlinear stochastic homogenization have
been limited to a small algebraic rate of convergence \varepsilon ^\delta . We
also establish error estimates for the approximation of the homogenized operator
by the method of representative volumes of the order (L/\varepsilon )^{-d/2} for
a representative volume of size L. Our results also hold in the case of systems
for which a (small-scale) C^{1,\alpha } regularity theory is available.
acknowledgement: Open access funding provided by Institute of Science and Technology
(IST Austria). SN acknowledges partial support by the Deutsche Forschungsgemeinschaft
(DFG, German Research Foundation) – project number 405009441.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Julian L
full_name: Fischer, Julian L
id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87
last_name: Fischer
orcid: 0000-0002-0479-558X
- first_name: Stefan
full_name: Neukamm, Stefan
last_name: Neukamm
citation:
ama: Fischer JL, Neukamm S. Optimal homogenization rates in stochastic homogenization
of nonlinear uniformly elliptic equations and systems. Archive for Rational
Mechanics and Analysis. 2021;242(1):343-452. doi:10.1007/s00205-021-01686-9
apa: Fischer, J. L., & Neukamm, S. (2021). Optimal homogenization rates in stochastic
homogenization of nonlinear uniformly elliptic equations and systems. Archive
for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-021-01686-9
chicago: Fischer, Julian L, and Stefan Neukamm. “Optimal Homogenization Rates in
Stochastic Homogenization of Nonlinear Uniformly Elliptic Equations and Systems.”
Archive for Rational Mechanics and Analysis. Springer Nature, 2021. https://doi.org/10.1007/s00205-021-01686-9.
ieee: J. L. Fischer and S. Neukamm, “Optimal homogenization rates in stochastic
homogenization of nonlinear uniformly elliptic equations and systems,” Archive
for Rational Mechanics and Analysis, vol. 242, no. 1. Springer Nature, pp.
343–452, 2021.
ista: Fischer JL, Neukamm S. 2021. Optimal homogenization rates in stochastic homogenization
of nonlinear uniformly elliptic equations and systems. Archive for Rational Mechanics
and Analysis. 242(1), 343–452.
mla: Fischer, Julian L., and Stefan Neukamm. “Optimal Homogenization Rates in Stochastic
Homogenization of Nonlinear Uniformly Elliptic Equations and Systems.” Archive
for Rational Mechanics and Analysis, vol. 242, no. 1, Springer Nature, 2021,
pp. 343–452, doi:10.1007/s00205-021-01686-9.
short: J.L. Fischer, S. Neukamm, Archive for Rational Mechanics and Analysis 242
(2021) 343–452.
date_created: 2021-12-16T12:12:33Z
date_published: 2021-06-30T00:00:00Z
date_updated: 2023-08-17T06:23:21Z
day: '30'
ddc:
- '530'
department:
- _id: JuFi
doi: 10.1007/s00205-021-01686-9
external_id:
arxiv:
- '1908.02273'
isi:
- '000668431200001'
file:
- access_level: open_access
checksum: cc830b739aed83ca2e32c4e0ce266a4c
content_type: application/pdf
creator: cchlebak
date_created: 2021-12-16T14:58:08Z
date_updated: 2021-12-16T14:58:08Z
file_id: '10558'
file_name: 2021_ArchRatMechAnalysis_Fischer.pdf
file_size: 1640121
relation: main_file
success: 1
file_date_updated: 2021-12-16T14:58:08Z
fulldoi: https://doi.org/10.1007/s00205-021-01686-9
has_accepted_license: '1'
intvolume: ' 242'
isi: 1
issue: '1'
keyword:
- Mechanical Engineering
- Mathematics (miscellaneous)
- Analysis
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 343-452
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optimal homogenization rates in stochastic homogenization of nonlinear uniformly
elliptic equations and systems
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 242
year: '2021'
...
---
_id: '8773'
abstract:
- lang: eng
text: Let g be a complex semisimple Lie algebra. We give a classification of contravariant
forms on the nondegenerate Whittaker g-modules Y(χ,η) introduced by Kostant. We
prove that the set of all contravariant forms on Y(χ,η) forms a vector space whose
dimension is given by the cardinality of the Weyl group of g. We also describe
a procedure for parabolically inducing contravariant forms. As a corollary, we
deduce the existence of the Shapovalov form on a Verma module, and provide a formula
for the dimension of the space of contravariant forms on the degenerate Whittaker
modules M(χ,η) introduced by McDowell.
acknowledgement: "We would like to thank Peter Trapa for useful discussions, and Dragan
Milicic and Arun Ram for valuable feedback on the structure of the paper. The first
author acknowledges the support of the European Unions Horizon 2020 research and
innovation programme under the Marie Skodowska-Curie Grant Agreement No. 754411.
The second author is\r\nsupported by the National Science Foundation Award No. 1803059."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Adam
full_name: Brown, Adam
id: 70B7FDF6-608D-11E9-9333-8535E6697425
last_name: Brown
- first_name: Anna
full_name: Romanov, Anna
last_name: Romanov
citation:
ama: Brown A, Romanov A. Contravariant forms on Whittaker modules. Proceedings
of the American Mathematical Society. 2021;149(1):37-52. doi:10.1090/proc/15205
apa: Brown, A., & Romanov, A. (2021). Contravariant forms on Whittaker modules.
Proceedings of the American Mathematical Society. American Mathematical
Society. https://doi.org/10.1090/proc/15205
chicago: Brown, Adam, and Anna Romanov. “Contravariant Forms on Whittaker Modules.”
Proceedings of the American Mathematical Society. American Mathematical
Society, 2021. https://doi.org/10.1090/proc/15205.
ieee: A. Brown and A. Romanov, “Contravariant forms on Whittaker modules,” Proceedings
of the American Mathematical Society, vol. 149, no. 1. American Mathematical
Society, pp. 37–52, 2021.
ista: Brown A, Romanov A. 2021. Contravariant forms on Whittaker modules. Proceedings
of the American Mathematical Society. 149(1), 37–52.
mla: Brown, Adam, and Anna Romanov. “Contravariant Forms on Whittaker Modules.”
Proceedings of the American Mathematical Society, vol. 149, no. 1, American
Mathematical Society, 2021, pp. 37–52, doi:10.1090/proc/15205.
short: A. Brown, A. Romanov, Proceedings of the American Mathematical Society 149
(2021) 37–52.
date_created: 2020-11-19T10:17:40Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2025-04-14T07:43:50Z
day: '01'
department:
- _id: HeEd
doi: 10.1090/proc/15205
ec_funded: 1
external_id:
arxiv:
- '1910.08286'
isi:
- '000600416300004'
fulldoi: https://doi.org/10.1090/proc/15205
intvolume: ' 149'
isi: 1
issue: '1'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1910.08286
month: '01'
oa: 1
oa_version: Preprint
page: 37-52
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: Proceedings of the American Mathematical Society
publication_identifier:
eissn:
- 1088-6826
issn:
- 0002-9939
publication_status: published
publisher: American Mathematical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Contravariant forms on Whittaker modules
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 149
year: '2021'
...
---
_id: '8940'
abstract:
- lang: eng
text: We quantise Whitney’s construction to prove the existence of a triangulation
for any C^2 manifold, so that we get an algorithm with explicit bounds. We also
give a new elementary proof, which is completely geometric.
acknowledgement: This work has been funded by the European Research Council under
the European Union’s ERC Grant Agreement Number 339025 GUDHI (Algorithmic Foundations
of Geometric Understanding in Higher Dimensions). The third author also received
funding from the European Union’s Horizon 2020 research and innovation programme
under the Marie Skłodowska-Curie Grant Agreement No. 754411. Open access funding
provided by the Institute of Science and Technology (IST Austria).
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Jean-Daniel
full_name: Boissonnat, Jean-Daniel
last_name: Boissonnat
- first_name: Siargey
full_name: Kachanovich, Siargey
last_name: Kachanovich
- first_name: Mathijs
full_name: Wintraecken, Mathijs
id: 307CFBC8-F248-11E8-B48F-1D18A9856A87
last_name: Wintraecken
orcid: 0000-0002-7472-2220
citation:
ama: 'Boissonnat J-D, Kachanovich S, Wintraecken M. Triangulating submanifolds:
An elementary and quantified version of Whitney’s method. Discrete & Computational
Geometry. 2021;66(1):386-434. doi:10.1007/s00454-020-00250-8'
apa: 'Boissonnat, J.-D., Kachanovich, S., & Wintraecken, M. (2021). Triangulating
submanifolds: An elementary and quantified version of Whitney’s method. Discrete
& Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-020-00250-8'
chicago: 'Boissonnat, Jean-Daniel, Siargey Kachanovich, and Mathijs Wintraecken.
“Triangulating Submanifolds: An Elementary and Quantified Version of Whitney’s
Method.” Discrete & Computational Geometry. Springer Nature, 2021.
https://doi.org/10.1007/s00454-020-00250-8.'
ieee: 'J.-D. Boissonnat, S. Kachanovich, and M. Wintraecken, “Triangulating submanifolds:
An elementary and quantified version of Whitney’s method,” Discrete & Computational
Geometry, vol. 66, no. 1. Springer Nature, pp. 386–434, 2021.'
ista: 'Boissonnat J-D, Kachanovich S, Wintraecken M. 2021. Triangulating submanifolds:
An elementary and quantified version of Whitney’s method. Discrete & Computational
Geometry. 66(1), 386–434.'
mla: 'Boissonnat, Jean-Daniel, et al. “Triangulating Submanifolds: An Elementary
and Quantified Version of Whitney’s Method.” Discrete & Computational Geometry,
vol. 66, no. 1, Springer Nature, 2021, pp. 386–434, doi:10.1007/s00454-020-00250-8.'
short: J.-D. Boissonnat, S. Kachanovich, M. Wintraecken, Discrete & Computational
Geometry 66 (2021) 386–434.
corr_author: '1'
date_created: 2020-12-12T11:07:02Z
date_published: 2021-07-01T00:00:00Z
date_updated: 2025-04-14T07:43:50Z
day: '01'
ddc:
- '516'
department:
- _id: HeEd
doi: 10.1007/s00454-020-00250-8
ec_funded: 1
external_id:
isi:
- '000597770300001'
file:
- access_level: open_access
checksum: c848986091e56699dc12de85adb1e39c
content_type: application/pdf
creator: kschuh
date_created: 2021-08-06T09:52:29Z
date_updated: 2021-08-06T09:52:29Z
file_id: '9795'
file_name: 2021_DescreteCompGeopmetry_Boissonnat.pdf
file_size: 983307
relation: main_file
success: 1
file_date_updated: 2021-08-06T09:52:29Z
fulldoi: https://doi.org/10.1007/s00454-020-00250-8
has_accepted_license: '1'
intvolume: ' 66'
isi: 1
issue: '1'
keyword:
- Theoretical Computer Science
- Computational Theory and Mathematics
- Geometry and Topology
- Discrete Mathematics and Combinatorics
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 386-434
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: Discrete & Computational Geometry
publication_identifier:
eissn:
- 1432-0444
issn:
- 0179-5376
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Triangulating submanifolds: An elementary and quantified version of Whitney’s
method'
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: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 66
year: '2021'
...
---
_id: '9036'
abstract:
- lang: eng
text: In this short note, we prove that the square root of the quantum Jensen-Shannon
divergence is a true metric on the cone of positive matrices, and hence in particular
on the quantum state space.
acknowledgement: D. Virosztek was supported by the European Union's Horizon 2020 research
and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 846294,
and partially supported by the Hungarian National Research, Development and Innovation
Office (NKFIH) via grants no. K124152, and no. KH129601.
article_number: '107595'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Daniel
full_name: Virosztek, Daniel
id: 48DB45DA-F248-11E8-B48F-1D18A9856A87
last_name: Virosztek
orcid: 0000-0003-1109-5511
citation:
ama: Virosztek D. The metric property of the quantum Jensen-Shannon divergence.
Advances in Mathematics. 2021;380(3). doi:10.1016/j.aim.2021.107595
apa: Virosztek, D. (2021). The metric property of the quantum Jensen-Shannon divergence.
Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2021.107595
chicago: Virosztek, Daniel. “The Metric Property of the Quantum Jensen-Shannon Divergence.”
Advances in Mathematics. Elsevier, 2021. https://doi.org/10.1016/j.aim.2021.107595.
ieee: D. Virosztek, “The metric property of the quantum Jensen-Shannon divergence,”
Advances in Mathematics, vol. 380, no. 3. Elsevier, 2021.
ista: Virosztek D. 2021. The metric property of the quantum Jensen-Shannon divergence.
Advances in Mathematics. 380(3), 107595.
mla: Virosztek, Daniel. “The Metric Property of the Quantum Jensen-Shannon Divergence.”
Advances in Mathematics, vol. 380, no. 3, 107595, Elsevier, 2021, doi:10.1016/j.aim.2021.107595.
short: D. Virosztek, Advances in Mathematics 380 (2021).
date_created: 2021-01-22T17:55:17Z
date_published: 2021-03-26T00:00:00Z
date_updated: 2025-04-14T07:50:40Z
day: '26'
department:
- _id: LaEr
doi: 10.1016/j.aim.2021.107595
ec_funded: 1
external_id:
arxiv:
- '1910.10447'
isi:
- '000619676100035'
fulldoi: https://doi.org/10.1016/j.aim.2021.107595
intvolume: ' 380'
isi: 1
issue: '3'
keyword:
- General Mathematics
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1910.10447
month: '03'
oa: 1
oa_version: Preprint
project:
- _id: 26A455A6-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '846294'
name: Geometric study of Wasserstein spaces and free probability
publication: Advances in Mathematics
publication_identifier:
issn:
- 0001-8708
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: The metric property of the quantum Jensen-Shannon divergence
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 380
year: '2021'
...
---
_id: '9387'
abstract:
- lang: eng
text: We report the complete analysis of a deterministic model of deleterious mutations
and negative selection against them at two haploid loci without recombination.
As long as mutation is a weaker force than selection, mutant alleles remain rare
at the only stable equilibrium, and otherwise, a variety of dynamics are possible.
If the mutation-free genotype is absent, generally the only stable equilibrium
is the one that corresponds to fixation of the mutant allele at the locus where
it is less deleterious. This result suggests that fixation of a deleterious allele
that follows a click of the Muller’s ratchet is governed by natural selection,
instead of random drift.
acknowledgement: This work was supported by the Russian Science Foundation grant N
16-14-10173.
article_number: '110729'
article_processing_charge: No
article_type: original
author:
- first_name: Kseniia
full_name: Khudiakova, Kseniia
id: 4E6DC800-AE37-11E9-AC72-31CAE5697425
last_name: Khudiakova
orcid: 0000-0002-6246-1465
- first_name: Tatiana Yu.
full_name: Neretina, Tatiana Yu.
last_name: Neretina
- first_name: Alexey S.
full_name: Kondrashov, Alexey S.
last_name: Kondrashov
citation:
ama: Khudiakova K, Neretina TY, Kondrashov AS. Two linked loci under mutation-selection
balance and Muller’s ratchet. Journal of Theoretical Biology. 2021;524.
doi:10.1016/j.jtbi.2021.110729
apa: Khudiakova, K., Neretina, T. Y., & Kondrashov, A. S. (2021). Two linked
loci under mutation-selection balance and Muller’s ratchet. Journal of Theoretical
Biology. Elsevier. https://doi.org/10.1016/j.jtbi.2021.110729
chicago: Khudiakova, Kseniia, Tatiana Yu. Neretina, and Alexey S. Kondrashov. “Two
Linked Loci under Mutation-Selection Balance and Muller’s Ratchet.” Journal
of Theoretical Biology. Elsevier, 2021. https://doi.org/10.1016/j.jtbi.2021.110729.
ieee: K. Khudiakova, T. Y. Neretina, and A. S. Kondrashov, “Two linked loci under
mutation-selection balance and Muller’s ratchet,” Journal of Theoretical Biology,
vol. 524. Elsevier, 2021.
ista: Khudiakova K, Neretina TY, Kondrashov AS. 2021. Two linked loci under mutation-selection
balance and Muller’s ratchet. Journal of Theoretical Biology. 524, 110729.
mla: Khudiakova, Kseniia, et al. “Two Linked Loci under Mutation-Selection Balance
and Muller’s Ratchet.” Journal of Theoretical Biology, vol. 524, 110729,
Elsevier, 2021, doi:10.1016/j.jtbi.2021.110729.
short: K. Khudiakova, T.Y. Neretina, A.S. Kondrashov, Journal of Theoretical Biology
524 (2021).
das_tickbox: '1'
date_created: 2021-05-12T05:58:42Z
date_published: 2021-04-24T00:00:00Z
date_updated: 2026-07-06T12:58:31Z
day: '24'
department:
- _id: GradSch
doi: 10.1016/j.jtbi.2021.110729
external_id:
isi:
- '000659161500002'
pmid:
- '33901507'
fulldoi: https://doi.org/10.1016/j.jtbi.2021.110729
intvolume: ' 524'
isi: 1
keyword:
- General Biochemistry
- Genetics and Molecular Biology
- Modelling and Simulation
- Statistics and Probability
- General Immunology and Microbiology
- Applied Mathematics
- General Agricultural and Biological Sciences
- General Medicine
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://www.biorxiv.org/content/10.1101/477489v1
month: '04'
oa: 1
oa_version: Preprint
pmid: 1
publication: Journal of Theoretical Biology
publication_identifier:
issn:
- 0022-5193
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Two linked loci under mutation-selection balance and Muller’s ratchet
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 524
year: '2021'
...
---
_id: '9817'
abstract:
- lang: eng
text: Elastic bending of initially flat slender elements allows the realization
and economic fabrication of intriguing curved shapes. In this work, we derive
an intuitive but rigorous geometric characterization of the design space of plane
elastic rods with variable stiffness. It enables designers to determine which
shapes are physically viable with active bending by visual inspection alone. Building
on these insights, we propose a method for efficiently designing the geometry
of a flat elastic rod that realizes a target equilibrium curve, which only requires
solving a linear program. We implement this method in an interactive computational
design tool that gives feedback about the feasibility of a design, and computes
the geometry of the structural elements necessary to realize it within an instant.
The tool also offers an iterative optimization routine that improves the fabricability
of a model while modifying it as little as possible. In addition, we use our geometric
characterization to derive an algorithm for analyzing and recovering the stability
of elastic curves that would otherwise snap out of their unstable equilibrium
shapes by buckling. We show the efficacy of our approach by designing and manufacturing
several physical models that are assembled from flat elements.
acknowledgement: "We thank the anonymous reviewers for their generous feedback, and
Michal Piovarči for his help in producing the supplemental video. This project has
received funding from the European Research Council (ERC) under the European Union’s
Horizon 2020 research and innovation programme (grant agreement No 715767).\r\n"
article_number: '126'
article_processing_charge: No
article_type: original
author:
- first_name: Christian
full_name: Hafner, Christian
id: 400429CC-F248-11E8-B48F-1D18A9856A87
last_name: Hafner
- first_name: Bernd
full_name: Bickel, Bernd
id: 49876194-F248-11E8-B48F-1D18A9856A87
last_name: Bickel
orcid: 0000-0001-6511-9385
citation:
ama: Hafner C, Bickel B. The design space of plane elastic curves. ACM Transactions
on Graphics. 2021;40(4). doi:10.1145/3450626.3459800
apa: 'Hafner, C., & Bickel, B. (2021). The design space of plane elastic curves.
ACM Transactions on Graphics. Virtual: Association for Computing Machinery.
https://doi.org/10.1145/3450626.3459800'
chicago: Hafner, Christian, and Bernd Bickel. “The Design Space of Plane Elastic
Curves.” ACM Transactions on Graphics. Association for Computing Machinery,
2021. https://doi.org/10.1145/3450626.3459800.
ieee: C. Hafner and B. Bickel, “The design space of plane elastic curves,” ACM
Transactions on Graphics, vol. 40, no. 4. Association for Computing Machinery,
2021.
ista: Hafner C, Bickel B. 2021. The design space of plane elastic curves. ACM Transactions
on Graphics. 40(4), 126.
mla: Hafner, Christian, and Bernd Bickel. “The Design Space of Plane Elastic Curves.”
ACM Transactions on Graphics, vol. 40, no. 4, 126, Association for Computing
Machinery, 2021, doi:10.1145/3450626.3459800.
short: C. Hafner, B. Bickel, ACM Transactions on Graphics 40 (2021).
conference:
end_date: 2021-08-13
location: Virtual
name: 'SIGGRAF: Special Interest Group on Computer Graphics and Interactive Techniques'
start_date: 2021-08-09
date_created: 2021-08-08T22:01:26Z
date_published: 2021-07-19T00:00:00Z
date_updated: 2026-09-12T22:30:07Z
day: '19'
ddc:
- '516'
department:
- _id: BeBi
doi: 10.1145/3450626.3459800
ec_funded: 1
external_id:
isi:
- '000674930900091'
file:
- access_level: open_access
checksum: 7e5d08ce46b0451b3102eacd3d00f85f
content_type: application/pdf
creator: chafner
date_created: 2021-10-18T10:42:15Z
date_updated: 2021-10-18T10:42:15Z
file_id: '10150'
file_name: elastic-curves-paper.pdf
file_size: 17064290
relation: main_file
success: 1
- access_level: open_access
checksum: 0088643478be7c01a703b5b10767348f
content_type: application/pdf
creator: chafner
date_created: 2021-10-18T10:42:22Z
date_updated: 2021-10-18T10:42:22Z
file_id: '10151'
file_name: elastic-curves-supp.pdf
file_size: 547156
relation: supplementary_material
file_date_updated: 2021-10-18T10:42:22Z
fulldoi: https://doi.org/10.1145/3450626.3459800
has_accepted_license: '1'
intvolume: ' 40'
isi: 1
issue: '4'
keyword:
- Computing methodologies
- shape modeling
- modeling and simulation
- theory of computation
- computational geometry
- mathematics of computing
- mathematical optimization
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: 24F9549A-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '715767'
name: 'MATERIALIZABLE: Intelligent fabrication-oriented Computational Design and
Modeling'
publication: ACM Transactions on Graphics
publication_identifier:
eissn:
- 1557-7368
issn:
- 0730-0301
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
related_material:
link:
- description: News on IST Website
relation: press_release
url: https://ist.ac.at/en/news/designing-with-elastic-structures/
record:
- id: '12897'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: The design space of plane elastic curves
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 40
year: '2021'
...
---
_id: '10867'
abstract:
- lang: eng
text: In this paper we find a tight estimate for Gromov’s waist of the balls in
spaces of constant curvature, deduce the estimates for the balls in Riemannian
manifolds with upper bounds on the curvature (CAT(ϰ)-spaces), and establish similar
result for normed spaces.
acknowledgement: ' Supported by the Russian Foundation for Basic Research grant 18-01-00036.'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Arseniy
full_name: Akopyan, Arseniy
id: 430D2C90-F248-11E8-B48F-1D18A9856A87
last_name: Akopyan
orcid: 0000-0002-2548-617X
- first_name: Roman
full_name: Karasev, Roman
last_name: Karasev
citation:
ama: Akopyan A, Karasev R. Waist of balls in hyperbolic and spherical spaces. International
Mathematics Research Notices. 2020;2020(3):669-697. doi:10.1093/imrn/rny037
apa: Akopyan, A., & Karasev, R. (2020). Waist of balls in hyperbolic and spherical
spaces. International Mathematics Research Notices. Oxford University Press.
https://doi.org/10.1093/imrn/rny037
chicago: Akopyan, Arseniy, and Roman Karasev. “Waist of Balls in Hyperbolic and
Spherical Spaces.” International Mathematics Research Notices. Oxford University
Press, 2020. https://doi.org/10.1093/imrn/rny037.
ieee: A. Akopyan and R. Karasev, “Waist of balls in hyperbolic and spherical spaces,”
International Mathematics Research Notices, vol. 2020, no. 3. Oxford University
Press, pp. 669–697, 2020.
ista: Akopyan A, Karasev R. 2020. Waist of balls in hyperbolic and spherical spaces.
International Mathematics Research Notices. 2020(3), 669–697.
mla: Akopyan, Arseniy, and Roman Karasev. “Waist of Balls in Hyperbolic and Spherical
Spaces.” International Mathematics Research Notices, vol. 2020, no. 3,
Oxford University Press, 2020, pp. 669–97, doi:10.1093/imrn/rny037.
short: A. Akopyan, R. Karasev, International Mathematics Research Notices 2020 (2020)
669–697.
date_created: 2022-03-18T11:39:30Z
date_published: 2020-02-01T00:00:00Z
date_updated: 2023-08-24T14:19:55Z
day: '01'
department:
- _id: HeEd
doi: 10.1093/imrn/rny037
external_id:
arxiv:
- '1702.07513'
isi:
- '000522852700002'
fulldoi: https://doi.org/10.1093/imrn/rny037
intvolume: ' 2020'
isi: 1
issue: '3'
keyword:
- General Mathematics
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1702.07513
month: '02'
oa: 1
oa_version: Preprint
page: 669-697
publication: International Mathematics Research Notices
publication_identifier:
eissn:
- 1687-0247
issn:
- 1073-7928
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Waist of balls in hyperbolic and spherical spaces
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 2020
year: '2020'
...
---
_id: '14125'
abstract:
- lang: eng
text: "Motivation: Recent technological advances have led to an increase in the
production and availability of single-cell data. The ability to integrate a set
of multi-technology measurements would allow the identification of biologically
or clinically meaningful observations through the unification of the perspectives
afforded by each technology. In most cases, however, profiling technologies consume
the used cells and thus pairwise correspondences between datasets are lost. Due
to the sheer size single-cell datasets can acquire, scalable algorithms that are
able to universally match single-cell measurements carried out in one cell to
its corresponding sibling in another technology are needed.\r\nResults: We propose
Single-Cell data Integration via Matching (SCIM), a scalable approach to recover
such correspondences in two or more technologies. SCIM assumes that cells share
a common (low-dimensional) underlying structure and that the underlying cell distribution
is approximately constant across technologies. It constructs a technology-invariant
latent space using an autoencoder framework with an adversarial objective. Multi-modal
datasets are integrated by pairing cells across technologies using a bipartite
matching scheme that operates on the low-dimensional latent representations. We
evaluate SCIM on a simulated cellular branching process and show that the cell-to-cell
matches derived by SCIM reflect the same pseudotime on the simulated dataset.
Moreover, we apply our method to two real-world scenarios, a melanoma tumor sample
and a human bone marrow sample, where we pair cells from a scRNA dataset to their
sibling cells in a CyTOF dataset achieving 90% and 78% cell-matching accuracy
for each one of the samples, respectively."
article_processing_charge: No
article_type: original
author:
- first_name: Stefan G
full_name: Stark, Stefan G
last_name: Stark
- first_name: Joanna
full_name: Ficek, Joanna
last_name: Ficek
- first_name: Francesco
full_name: Locatello, Francesco
id: 26cfd52f-2483-11ee-8040-88983bcc06d4
last_name: Locatello
orcid: 0000-0002-4850-0683
- first_name: Ximena
full_name: Bonilla, Ximena
last_name: Bonilla
- first_name: Stéphane
full_name: Chevrier, Stéphane
last_name: Chevrier
- first_name: Franziska
full_name: Singer, Franziska
last_name: Singer
- first_name: Rudolf
full_name: Aebersold, Rudolf
last_name: Aebersold
- first_name: Faisal S
full_name: Al-Quaddoomi, Faisal S
last_name: Al-Quaddoomi
- first_name: Jonas
full_name: Albinus, Jonas
last_name: Albinus
- first_name: Ilaria
full_name: Alborelli, Ilaria
last_name: Alborelli
- first_name: Sonali
full_name: Andani, Sonali
last_name: Andani
- first_name: Per-Olof
full_name: Attinger, Per-Olof
last_name: Attinger
- first_name: Marina
full_name: Bacac, Marina
last_name: Bacac
- first_name: Daniel
full_name: Baumhoer, Daniel
last_name: Baumhoer
- first_name: Beatrice
full_name: Beck-Schimmer, Beatrice
last_name: Beck-Schimmer
- first_name: Niko
full_name: Beerenwinkel, Niko
last_name: Beerenwinkel
- first_name: Christian
full_name: Beisel, Christian
last_name: Beisel
- first_name: Lara
full_name: Bernasconi, Lara
last_name: Bernasconi
- first_name: Anne
full_name: Bertolini, Anne
last_name: Bertolini
- first_name: Bernd
full_name: Bodenmiller, Bernd
last_name: Bodenmiller
- first_name: Ximena
full_name: Bonilla, Ximena
last_name: Bonilla
- first_name: Ruben
full_name: Casanova, Ruben
last_name: Casanova
- first_name: Stéphane
full_name: Chevrier, Stéphane
last_name: Chevrier
- first_name: Natalia
full_name: Chicherova, Natalia
last_name: Chicherova
- first_name: Maya
full_name: D'Costa, Maya
last_name: D'Costa
- first_name: Esther
full_name: Danenberg, Esther
last_name: Danenberg
- first_name: Natalie
full_name: Davidson, Natalie
last_name: Davidson
- first_name: Monica-Andreea Dră
full_name: gan, Monica-Andreea Dră
last_name: gan
- first_name: Reinhard
full_name: Dummer, Reinhard
last_name: Dummer
- first_name: Stefanie
full_name: Engler, Stefanie
last_name: Engler
- first_name: Martin
full_name: Erkens, Martin
last_name: Erkens
- first_name: Katja
full_name: Eschbach, Katja
last_name: Eschbach
- first_name: Cinzia
full_name: Esposito, Cinzia
last_name: Esposito
- first_name: André
full_name: Fedier, André
last_name: Fedier
- first_name: Pedro
full_name: Ferreira, Pedro
last_name: Ferreira
- first_name: Joanna
full_name: Ficek, Joanna
last_name: Ficek
- first_name: Anja L
full_name: Frei, Anja L
last_name: Frei
- first_name: Bruno
full_name: Frey, Bruno
last_name: Frey
- first_name: Sandra
full_name: Goetze, Sandra
last_name: Goetze
- first_name: Linda
full_name: Grob, Linda
last_name: Grob
- first_name: Gabriele
full_name: Gut, Gabriele
last_name: Gut
- first_name: Detlef
full_name: Günther, Detlef
last_name: Günther
- first_name: Martina
full_name: Haberecker, Martina
last_name: Haberecker
- first_name: Pirmin
full_name: Haeuptle, Pirmin
last_name: Haeuptle
- first_name: Viola
full_name: Heinzelmann-Schwarz, Viola
last_name: Heinzelmann-Schwarz
- first_name: Sylvia
full_name: Herter, Sylvia
last_name: Herter
- first_name: Rene
full_name: Holtackers, Rene
last_name: Holtackers
- first_name: Tamara
full_name: Huesser, Tamara
last_name: Huesser
- first_name: Anja
full_name: Irmisch, Anja
last_name: Irmisch
- first_name: Francis
full_name: Jacob, Francis
last_name: Jacob
- first_name: Andrea
full_name: Jacobs, Andrea
last_name: Jacobs
- first_name: Tim M
full_name: Jaeger, Tim M
last_name: Jaeger
- first_name: Katharina
full_name: Jahn, Katharina
last_name: Jahn
- first_name: Alva R
full_name: James, Alva R
last_name: James
- first_name: Philip M
full_name: Jermann, Philip M
last_name: Jermann
- first_name: André
full_name: Kahles, André
last_name: Kahles
- first_name: Abdullah
full_name: Kahraman, Abdullah
last_name: Kahraman
- first_name: Viktor H
full_name: Koelzer, Viktor H
last_name: Koelzer
- first_name: Werner
full_name: Kuebler, Werner
last_name: Kuebler
- first_name: Jack
full_name: Kuipers, Jack
last_name: Kuipers
- first_name: Christian P
full_name: Kunze, Christian P
last_name: Kunze
- first_name: Christian
full_name: Kurzeder, Christian
last_name: Kurzeder
- first_name: Kjong-Van
full_name: Lehmann, Kjong-Van
last_name: Lehmann
- first_name: Mitchell
full_name: Levesque, Mitchell
last_name: Levesque
- first_name: Sebastian
full_name: Lugert, Sebastian
last_name: Lugert
- first_name: Gerd
full_name: Maass, Gerd
last_name: Maass
- first_name: Markus
full_name: Manz, Markus
last_name: Manz
- first_name: Philipp
full_name: Markolin, Philipp
last_name: Markolin
- first_name: Julien
full_name: Mena, Julien
last_name: Mena
- first_name: Ulrike
full_name: Menzel, Ulrike
last_name: Menzel
- first_name: Julian M
full_name: Metzler, Julian M
last_name: Metzler
- first_name: Nicola
full_name: Miglino, Nicola
last_name: Miglino
- first_name: Emanuela S
full_name: Milani, Emanuela S
last_name: Milani
- first_name: Holger
full_name: Moch, Holger
last_name: Moch
- first_name: Simone
full_name: Muenst, Simone
last_name: Muenst
- first_name: Riccardo
full_name: Murri, Riccardo
last_name: Murri
- first_name: Charlotte KY
full_name: Ng, Charlotte KY
last_name: Ng
- first_name: Stefan
full_name: Nicolet, Stefan
last_name: Nicolet
- first_name: Marta
full_name: Nowak, Marta
last_name: Nowak
- first_name: Patrick GA
full_name: Pedrioli, Patrick GA
last_name: Pedrioli
- first_name: Lucas
full_name: Pelkmans, Lucas
last_name: Pelkmans
- first_name: Salvatore
full_name: Piscuoglio, Salvatore
last_name: Piscuoglio
- first_name: Michael
full_name: Prummer, Michael
last_name: Prummer
- first_name: Mathilde
full_name: Ritter, Mathilde
last_name: Ritter
- first_name: Christian
full_name: Rommel, Christian
last_name: Rommel
- first_name: María L
full_name: Rosano-González, María L
last_name: Rosano-González
- first_name: Gunnar
full_name: Rätsch, Gunnar
last_name: Rätsch
- first_name: Natascha
full_name: Santacroce, Natascha
last_name: Santacroce
- first_name: Jacobo Sarabia del
full_name: Castillo, Jacobo Sarabia del
last_name: Castillo
- first_name: Ramona
full_name: Schlenker, Ramona
last_name: Schlenker
- first_name: Petra C
full_name: Schwalie, Petra C
last_name: Schwalie
- first_name: Severin
full_name: Schwan, Severin
last_name: Schwan
- first_name: Tobias
full_name: Schär, Tobias
last_name: Schär
- first_name: Gabriela
full_name: Senti, Gabriela
last_name: Senti
- first_name: Franziska
full_name: Singer, Franziska
last_name: Singer
- first_name: Sujana
full_name: Sivapatham, Sujana
last_name: Sivapatham
- first_name: Berend
full_name: Snijder, Berend
last_name: Snijder
- first_name: Bettina
full_name: Sobottka, Bettina
last_name: Sobottka
- first_name: Vipin T
full_name: Sreedharan, Vipin T
last_name: Sreedharan
- first_name: Stefan
full_name: Stark, Stefan
last_name: Stark
- first_name: Daniel J
full_name: Stekhoven, Daniel J
last_name: Stekhoven
- first_name: Alexandre PA
full_name: Theocharides, Alexandre PA
last_name: Theocharides
- first_name: Tinu M
full_name: Thomas, Tinu M
last_name: Thomas
- first_name: Markus
full_name: Tolnay, Markus
last_name: Tolnay
- first_name: Vinko
full_name: Tosevski, Vinko
last_name: Tosevski
- first_name: Nora C
full_name: Toussaint, Nora C
last_name: Toussaint
- first_name: Mustafa A
full_name: Tuncel, Mustafa A
last_name: Tuncel
- first_name: Marina
full_name: Tusup, Marina
last_name: Tusup
- first_name: Audrey Van
full_name: Drogen, Audrey Van
last_name: Drogen
- first_name: Marcus
full_name: Vetter, Marcus
last_name: Vetter
- first_name: Tatjana
full_name: Vlajnic, Tatjana
last_name: Vlajnic
- first_name: Sandra
full_name: Weber, Sandra
last_name: Weber
- first_name: Walter P
full_name: Weber, Walter P
last_name: Weber
- first_name: Rebekka
full_name: Wegmann, Rebekka
last_name: Wegmann
- first_name: Michael
full_name: Weller, Michael
last_name: Weller
- first_name: Fabian
full_name: Wendt, Fabian
last_name: Wendt
- first_name: Norbert
full_name: Wey, Norbert
last_name: Wey
- first_name: Andreas
full_name: Wicki, Andreas
last_name: Wicki
- first_name: Bernd
full_name: Wollscheid, Bernd
last_name: Wollscheid
- first_name: Shuqing
full_name: Yu, Shuqing
last_name: Yu
- first_name: Johanna
full_name: Ziegler, Johanna
last_name: Ziegler
- first_name: Marc
full_name: Zimmermann, Marc
last_name: Zimmermann
- first_name: Martin
full_name: Zoche, Martin
last_name: Zoche
- first_name: Gregor
full_name: Zuend, Gregor
last_name: Zuend
- first_name: Gunnar
full_name: Rätsch, Gunnar
last_name: Rätsch
- first_name: Kjong-Van
full_name: Lehmann, Kjong-Van
last_name: Lehmann
citation:
ama: 'Stark SG, Ficek J, Locatello F, et al. SCIM: Universal single-cell matching
with unpaired feature sets. Bioinformatics. 2020;36(Supplement_2):i919-i927.
doi:10.1093/bioinformatics/btaa843'
apa: 'Stark, S. G., Ficek, J., Locatello, F., Bonilla, X., Chevrier, S., Singer,
F., … Lehmann, K.-V. (2020). SCIM: Universal single-cell matching with unpaired
feature sets. Bioinformatics. Oxford University Press. https://doi.org/10.1093/bioinformatics/btaa843'
chicago: 'Stark, Stefan G, Joanna Ficek, Francesco Locatello, Ximena Bonilla, Stéphane
Chevrier, Franziska Singer, Rudolf Aebersold, et al. “SCIM: Universal Single-Cell
Matching with Unpaired Feature Sets.” Bioinformatics. Oxford University
Press, 2020. https://doi.org/10.1093/bioinformatics/btaa843.'
ieee: 'S. G. Stark et al., “SCIM: Universal single-cell matching with unpaired
feature sets,” Bioinformatics, vol. 36, no. Supplement_2. Oxford University
Press, pp. i919–i927, 2020.'
ista: 'Stark SG et al. 2020. SCIM: Universal single-cell matching with unpaired
feature sets. Bioinformatics. 36(Supplement_2), i919–i927.'
mla: 'Stark, Stefan G., et al. “SCIM: Universal Single-Cell Matching with Unpaired
Feature Sets.” Bioinformatics, vol. 36, no. Supplement_2, Oxford University
Press, 2020, pp. i919–27, doi:10.1093/bioinformatics/btaa843.'
short: S.G. Stark, J. Ficek, F. Locatello, X. Bonilla, S. Chevrier, F. Singer, R.
Aebersold, F.S. Al-Quaddoomi, J. Albinus, I. Alborelli, S. Andani, P.-O. Attinger,
M. Bacac, D. Baumhoer, B. Beck-Schimmer, N. Beerenwinkel, C. Beisel, L. Bernasconi,
A. Bertolini, B. Bodenmiller, X. Bonilla, R. Casanova, S. Chevrier, N. Chicherova,
M. D’Costa, E. Danenberg, N. Davidson, M.-A.D. gan, R. Dummer, S. Engler, M. Erkens,
K. Eschbach, C. Esposito, A. Fedier, P. Ferreira, J. Ficek, A.L. Frei, B. Frey,
S. Goetze, L. Grob, G. Gut, D. Günther, M. Haberecker, P. Haeuptle, V. Heinzelmann-Schwarz,
S. Herter, R. Holtackers, T. Huesser, A. Irmisch, F. Jacob, A. Jacobs, T.M. Jaeger,
K. Jahn, A.R. James, P.M. Jermann, A. Kahles, A. Kahraman, V.H. Koelzer, W. Kuebler,
J. Kuipers, C.P. Kunze, C. Kurzeder, K.-V. Lehmann, M. Levesque, S. Lugert, G.
Maass, M. Manz, P. Markolin, J. Mena, U. Menzel, J.M. Metzler, N. Miglino, E.S.
Milani, H. Moch, S. Muenst, R. Murri, C.K. Ng, S. Nicolet, M. Nowak, P.G. Pedrioli,
L. Pelkmans, S. Piscuoglio, M. Prummer, M. Ritter, C. Rommel, M.L. Rosano-González,
G. Rätsch, N. Santacroce, J.S. del Castillo, R. Schlenker, P.C. Schwalie, S. Schwan,
T. Schär, G. Senti, F. Singer, S. Sivapatham, B. Snijder, B. Sobottka, V.T. Sreedharan,
S. Stark, D.J. Stekhoven, A.P. Theocharides, T.M. Thomas, M. Tolnay, V. Tosevski,
N.C. Toussaint, M.A. Tuncel, M. Tusup, A.V. Drogen, M. Vetter, T. Vlajnic, S.
Weber, W.P. Weber, R. Wegmann, M. Weller, F. Wendt, N. Wey, A. Wicki, B. Wollscheid,
S. Yu, J. Ziegler, M. Zimmermann, M. Zoche, G. Zuend, G. Rätsch, K.-V. Lehmann,
Bioinformatics 36 (2020) i919–i927.
date_created: 2023-08-21T12:28:20Z
date_published: 2020-12-01T00:00:00Z
date_updated: 2023-09-11T10:21:00Z
day: '01'
department:
- _id: FrLo
doi: 10.1093/bioinformatics/btaa843
extern: '1'
external_id:
pmid:
- '33381818'
fulldoi: https://doi.org/10.1093/bioinformatics/btaa843
intvolume: ' 36'
issue: Supplement_2
keyword:
- Computational Mathematics
- Computational Theory and Mathematics
- Computer Science Applications
- Molecular Biology
- Biochemistry
- Statistics and Probability
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1093/bioinformatics/btaa843
month: '12'
oa: 1
oa_version: Published Version
page: i919-i927
pmid: 1
publication: Bioinformatics
publication_identifier:
eissn:
- 1367-4811
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
related_material:
link:
- relation: software
url: https://github.com/ratschlab/scim
scopus_import: '1'
status: public
title: 'SCIM: Universal single-cell matching with unpaired feature sets'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 36
year: '2020'
...
---
_id: '14694'
abstract:
- lang: eng
text: We study the unique solution m of the Dyson equation \( -m(z)^{-1} = z\1 -
a + S[m(z)] \) on a von Neumann algebra A with the constraint Imm≥0. Here, z lies
in the complex upper half-plane, a is a self-adjoint element of A and S is a positivity-preserving
linear operator on A. We show that m is the Stieltjes transform of a compactly
supported A-valued measure on R. Under suitable assumptions, we establish that
this measure has a uniformly 1/3-Hölder continuous density with respect to the
Lebesgue measure, which is supported on finitely many intervals, called bands.
In fact, the density is analytic inside the bands with a square-root growth at
the edges and internal cubic root cusps whenever the gap between two bands vanishes.
The shape of these singularities is universal and no other singularity may occur.
We give a precise asymptotic description of m near the singular points. These
asymptotics generalize the analysis at the regular edges given in the companion
paper on the Tracy-Widom universality for the edge eigenvalue statistics for correlated
random matrices [the first author et al., Ann. Probab. 48, No. 2, 963--1001 (2020;
Zbl 1434.60017)] and they play a key role in the proof of the Pearcey universality
at the cusp for Wigner-type matrices [G. Cipolloni et al., Pure Appl. Anal. 1,
No. 4, 615--707 (2019; Zbl 07142203); the second author et al., Commun. Math.
Phys. 378, No. 2, 1203--1278 (2020; Zbl 07236118)]. We also extend the finite
dimensional band mass formula from [the first author et al., loc. cit.] to the
von Neumann algebra setting by showing that the spectral mass of the bands is
topologically rigid under deformations and we conclude that these masses are quantized
in some important cases.
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Johannes
full_name: Alt, Johannes
id: 36D3D8B6-F248-11E8-B48F-1D18A9856A87
last_name: Alt
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Torben H
full_name: Krüger, Torben H
id: 3020C786-F248-11E8-B48F-1D18A9856A87
last_name: Krüger
orcid: 0000-0002-4821-3297
citation:
ama: 'Alt J, Erdös L, Krüger TH. The Dyson equation with linear self-energy: Spectral
bands, edges and cusps. Documenta Mathematica. 2020;25:1421-1539. doi:10.4171/dm/780'
apa: 'Alt, J., Erdös, L., & Krüger, T. H. (2020). The Dyson equation with linear
self-energy: Spectral bands, edges and cusps. Documenta Mathematica. EMS
Press. https://doi.org/10.4171/dm/780'
chicago: 'Alt, Johannes, László Erdös, and Torben H Krüger. “The Dyson Equation
with Linear Self-Energy: Spectral Bands, Edges and Cusps.” Documenta Mathematica.
EMS Press, 2020. https://doi.org/10.4171/dm/780.'
ieee: 'J. Alt, L. Erdös, and T. H. Krüger, “The Dyson equation with linear self-energy:
Spectral bands, edges and cusps,” Documenta Mathematica, vol. 25. EMS Press,
pp. 1421–1539, 2020.'
ista: 'Alt J, Erdös L, Krüger TH. 2020. The Dyson equation with linear self-energy:
Spectral bands, edges and cusps. Documenta Mathematica. 25, 1421–1539.'
mla: 'Alt, Johannes, et al. “The Dyson Equation with Linear Self-Energy: Spectral
Bands, Edges and Cusps.” Documenta Mathematica, vol. 25, EMS Press, 2020,
pp. 1421–539, doi:10.4171/dm/780.'
short: J. Alt, L. Erdös, T.H. Krüger, Documenta Mathematica 25 (2020) 1421–1539.
corr_author: '1'
date_created: 2023-12-18T10:37:43Z
date_published: 2020-09-01T00:00:00Z
date_updated: 2025-04-15T08:05:00Z
day: '01'
ddc:
- '510'
department:
- _id: LaEr
doi: 10.4171/dm/780
external_id:
arxiv:
- '1804.07752'
file:
- access_level: open_access
checksum: 12aacc1d63b852ff9a51c1f6b218d4a6
content_type: application/pdf
creator: dernst
date_created: 2023-12-18T10:42:32Z
date_updated: 2023-12-18T10:42:32Z
file_id: '14695'
file_name: 2020_DocumentaMathematica_Alt.pdf
file_size: 1374708
relation: main_file
success: 1
file_date_updated: 2023-12-18T10:42:32Z
fulldoi: https://doi.org/10.4171/dm/780
has_accepted_license: '1'
intvolume: ' 25'
keyword:
- General Mathematics
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: 1421-1539
publication: Documenta Mathematica
publication_identifier:
eissn:
- 1431-0643
issn:
- 1431-0635
publication_status: published
publisher: EMS Press
quality_controlled: '1'
related_material:
record:
- id: '6183'
relation: earlier_version
status: public
status: public
title: 'The Dyson equation with linear self-energy: Spectral bands, edges and cusps'
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: 25
year: '2020'
...
---
_id: '8767'
abstract:
- lang: eng
text: Resources are rarely distributed uniformly within a population. Heterogeneity
in the concentration of a drug, the quality of breeding sites, or wealth can all
affect evolutionary dynamics. In this study, we represent a collection of properties
affecting the fitness at a given location using a color. A green node is rich
in resources while a red node is poorer. More colors can represent a broader spectrum
of resource qualities. For a population evolving according to the birth-death
Moran model, the first question we address is which structures, identified by
graph connectivity and graph coloring, are evolutionarily equivalent. We prove
that all properly two-colored, undirected, regular graphs are evolutionarily equivalent
(where “properly colored” means that no two neighbors have the same color). We
then compare the effects of background heterogeneity on properly two-colored graphs
to those with alternative schemes in which the colors are permuted. Finally, we
discuss dynamic coloring as a model for spatiotemporal resource fluctuations,
and we illustrate that random dynamic colorings often diminish the effects of
background heterogeneity relative to a proper two-coloring.
acknowledgement: 'We thank Igor Erovenko for many helpful comments on an earlier version
of this paper. : Army Research Laboratory (grant W911NF-18-2-0265) (M.A.N.); the
Bill & Melinda Gates Foundation (grant OPP1148627) (M.A.N.); the NVIDIA Corporation
(A.M.). The funders had no role in study design, data collection and analysis, decision
to publish, or preparation of the manuscript.'
article_number: e1008402
article_processing_charge: No
article_type: original
author:
- first_name: Kamran
full_name: Kaveh, Kamran
last_name: Kaveh
- first_name: Alex
full_name: McAvoy, Alex
last_name: McAvoy
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin A.
full_name: Nowak, Martin A.
last_name: Nowak
citation:
ama: Kaveh K, McAvoy A, Chatterjee K, Nowak MA. The Moran process on 2-chromatic
graphs. PLOS Computational Biology. 2020;16(11). doi:10.1371/journal.pcbi.1008402
apa: Kaveh, K., McAvoy, A., Chatterjee, K., & Nowak, M. A. (2020). The Moran
process on 2-chromatic graphs. PLOS Computational Biology. Public Library
of Science. https://doi.org/10.1371/journal.pcbi.1008402
chicago: Kaveh, Kamran, Alex McAvoy, Krishnendu Chatterjee, and Martin A. Nowak.
“The Moran Process on 2-Chromatic Graphs.” PLOS Computational Biology.
Public Library of Science, 2020. https://doi.org/10.1371/journal.pcbi.1008402.
ieee: K. Kaveh, A. McAvoy, K. Chatterjee, and M. A. Nowak, “The Moran process on
2-chromatic graphs,” PLOS Computational Biology, vol. 16, no. 11. Public
Library of Science, 2020.
ista: Kaveh K, McAvoy A, Chatterjee K, Nowak MA. 2020. The Moran process on 2-chromatic
graphs. PLOS Computational Biology. 16(11), e1008402.
mla: Kaveh, Kamran, et al. “The Moran Process on 2-Chromatic Graphs.” PLOS Computational
Biology, vol. 16, no. 11, e1008402, Public Library of Science, 2020, doi:10.1371/journal.pcbi.1008402.
short: K. Kaveh, A. McAvoy, K. Chatterjee, M.A. Nowak, PLOS Computational Biology
16 (2020).
date_created: 2020-11-18T07:20:23Z
date_published: 2020-11-05T00:00:00Z
date_updated: 2025-06-12T07:02:01Z
day: '05'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1371/journal.pcbi.1008402
external_id:
isi:
- '000591317200004'
pmid:
- '33151935'
file:
- access_level: open_access
checksum: 555456dd0e47bcf9e0994bcb95577e88
content_type: application/pdf
creator: dernst
date_created: 2020-11-18T07:26:10Z
date_updated: 2020-11-18T07:26:10Z
file_id: '8768'
file_name: 2020_PlosCompBio_Kaveh.pdf
file_size: 2498594
relation: main_file
success: 1
file_date_updated: 2020-11-18T07:26:10Z
fulldoi: https://doi.org/10.1371/journal.pcbi.1008402
has_accepted_license: '1'
intvolume: ' 16'
isi: 1
issue: '11'
keyword:
- Ecology
- Modelling and Simulation
- Computational Theory and Mathematics
- Genetics
- Ecology
- Evolution
- Behavior and Systematics
- Molecular Biology
- Cellular and Molecular Neuroscience
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
pmid: 1
publication: PLOS Computational Biology
publication_identifier:
eissn:
- 1553-7358
issn:
- 1553-734X
publication_status: published
publisher: Public Library of Science
quality_controlled: '1'
scopus_import: '1'
status: public
title: The Moran process on 2-chromatic graphs
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: 16
year: '2020'
...
---
_id: '9196'
abstract:
- lang: eng
text: In order to provide a local description of a regular function in a small neighbourhood
of a point x, it is sufficient by Taylor’s theorem to know the value of the function
as well as all of its derivatives up to the required order at the point x itself.
In other words, one could say that a regular function is locally modelled by the
set of polynomials. The theory of regularity structures due to Hairer generalizes
this observation and provides an abstract setup, which in the application to singular
SPDE extends the set of polynomials by functionals constructed from, e.g., white
noise. In this context, the notion of Taylor polynomials is lifted to the notion
of so-called modelled distributions. The celebrated reconstruction theorem, which
in turn was inspired by Gubinelli’s \textit {sewing lemma}, is of paramount importance
for the theory. It enables one to reconstruct a modelled distribution as a true
distribution on Rd which is locally approximated by this extended set of models
or “monomials”. In the original work of Hairer, the error is measured by means
of Hölder norms. This was then generalized to the whole scale of Besov spaces
by Hairer and Labbé. It is the aim of this work to adapt the analytic part of
the theory of regularity structures to the scale of Triebel–Lizorkin spaces.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Sebastian
full_name: Hensel, Sebastian
id: 4D23B7DA-F248-11E8-B48F-1D18A9856A87
last_name: Hensel
orcid: 0000-0001-7252-8072
- first_name: Tommaso
full_name: Rosati, Tommaso
last_name: Rosati
citation:
ama: Hensel S, Rosati T. Modelled distributions of Triebel–Lizorkin type. Studia
Mathematica. 2020;252(3):251-297. doi:10.4064/sm180411-11-2
apa: Hensel, S., & Rosati, T. (2020). Modelled distributions of Triebel–Lizorkin
type. Studia Mathematica. Instytut Matematyczny. https://doi.org/10.4064/sm180411-11-2
chicago: Hensel, Sebastian, and Tommaso Rosati. “Modelled Distributions of Triebel–Lizorkin
Type.” Studia Mathematica. Instytut Matematyczny, 2020. https://doi.org/10.4064/sm180411-11-2.
ieee: S. Hensel and T. Rosati, “Modelled distributions of Triebel–Lizorkin type,”
Studia Mathematica, vol. 252, no. 3. Instytut Matematyczny, pp. 251–297,
2020.
ista: Hensel S, Rosati T. 2020. Modelled distributions of Triebel–Lizorkin type.
Studia Mathematica. 252(3), 251–297.
mla: Hensel, Sebastian, and Tommaso Rosati. “Modelled Distributions of Triebel–Lizorkin
Type.” Studia Mathematica, vol. 252, no. 3, Instytut Matematyczny, 2020,
pp. 251–97, doi:10.4064/sm180411-11-2.
short: S. Hensel, T. Rosati, Studia Mathematica 252 (2020) 251–297.
date_created: 2021-02-25T08:55:03Z
date_published: 2020-03-01T00:00:00Z
date_updated: 2025-06-24T12:07:06Z
day: '01'
department:
- _id: JuFi
- _id: GradSch
doi: 10.4064/sm180411-11-2
external_id:
arxiv:
- '1709.05202'
isi:
- '000558100500002'
fulldoi: https://doi.org/10.4064/sm180411-11-2
intvolume: ' 252'
isi: 1
issue: '3'
keyword:
- General Mathematics
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.1709.05202
month: '03'
oa: 1
oa_version: Preprint
page: 251-297
publication: Studia Mathematica
publication_identifier:
eissn:
- 1730-6337
issn:
- 0039-3223
publication_status: published
publisher: Instytut Matematyczny
quality_controlled: '1'
scopus_import: '1'
status: public
title: Modelled distributions of Triebel–Lizorkin type
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 252
year: '2020'
...
---
_id: '9781'
abstract:
- lang: eng
text: We consider the Pekar functional on a ball in ℝ3. We prove uniqueness of minimizers,
and a quadratic lower bound in terms of the distance to the minimizer. The latter
follows from nondegeneracy of the Hessian at the minimum.
acknowledgement: We are grateful for the hospitality at the Mittag-Leffler Institute,
where part of this work has been done. The work of the authors was supported by
the European Research Council (ERC)under the European Union's Horizon 2020 research
and innovation programme grant 694227.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Dario
full_name: Feliciangeli, Dario
id: 41A639AA-F248-11E8-B48F-1D18A9856A87
last_name: Feliciangeli
orcid: 0000-0003-0754-8530
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Feliciangeli D, Seiringer R. Uniqueness and nondegeneracy of minimizers of
the Pekar functional on a ball. SIAM Journal on Mathematical Analysis.
2020;52(1):605-622. doi:10.1137/19m126284x
apa: Feliciangeli, D., & Seiringer, R. (2020). Uniqueness and nondegeneracy
of minimizers of the Pekar functional on a ball. SIAM Journal on Mathematical
Analysis. Society for Industrial and Applied Mathematics. https://doi.org/10.1137/19m126284x
chicago: Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy
of Minimizers of the Pekar Functional on a Ball.” SIAM Journal on Mathematical
Analysis. Society for Industrial and Applied Mathematics, 2020. https://doi.org/10.1137/19m126284x.
ieee: D. Feliciangeli and R. Seiringer, “Uniqueness and nondegeneracy of minimizers
of the Pekar functional on a ball,” SIAM Journal on Mathematical Analysis,
vol. 52, no. 1. Society for Industrial and Applied Mathematics, pp. 605–622, 2020.
ista: Feliciangeli D, Seiringer R. 2020. Uniqueness and nondegeneracy of minimizers
of the Pekar functional on a ball. SIAM Journal on Mathematical Analysis. 52(1),
605–622.
mla: Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy of
Minimizers of the Pekar Functional on a Ball.” SIAM Journal on Mathematical
Analysis, vol. 52, no. 1, Society for Industrial and Applied Mathematics,
2020, pp. 605–22, doi:10.1137/19m126284x.
short: D. Feliciangeli, R. Seiringer, SIAM Journal on Mathematical Analysis 52 (2020)
605–622.
corr_author: '1'
das_tickbox: '1'
date_created: 2021-08-06T07:34:16Z
date_published: 2020-02-12T00:00:00Z
date_updated: 2026-07-06T14:02:25Z
day: '12'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1137/19m126284x
ec_funded: 1
external_id:
arxiv:
- '1904.08647 '
isi:
- '000546967700022'
fulldoi: https://doi.org/10.1137/19m126284x
has_accepted_license: '1'
intvolume: ' 52'
isi: 1
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
- Analysis
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1904.08647
month: '02'
oa: 1
oa_version: Preprint
page: 605-622
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: SIAM Journal on Mathematical Analysis
publication_identifier:
eissn:
- 1095-7154
issn:
- 0036-1410
publication_status: published
publisher: Society for Industrial and Applied Mathematics
quality_controlled: '1'
related_material:
record:
- id: '9733'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball
tmp:
image: /images/cc_by_nc_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
(CC BY-NC-ND 4.0)
short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 52
year: '2020'
...
---
_id: '8418'
abstract:
- lang: eng
text: For the Restricted Circular Planar 3 Body Problem, we show that there exists
an open set U in phase space of fixed measure, where the set of initial points
which lead to collision is O(μ120) dense as μ→0.
article_processing_charge: No
article_type: original
author:
- first_name: Marcel
full_name: Guardia, Marcel
last_name: Guardia
- first_name: Vadim
full_name: Kaloshin, Vadim
id: FE553552-CDE8-11E9-B324-C0EBE5697425
last_name: Kaloshin
orcid: 0000-0002-6051-2628
- first_name: Jianlu
full_name: Zhang, Jianlu
last_name: Zhang
citation:
ama: Guardia M, Kaloshin V, Zhang J. Asymptotic density of collision orbits in the
Restricted Circular Planar 3 Body Problem. Archive for Rational Mechanics and
Analysis. 2019;233(2):799-836. doi:10.1007/s00205-019-01368-7
apa: Guardia, M., Kaloshin, V., & Zhang, J. (2019). Asymptotic density of collision
orbits in the Restricted Circular Planar 3 Body Problem. Archive for Rational
Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-019-01368-7
chicago: Guardia, Marcel, Vadim Kaloshin, and Jianlu Zhang. “Asymptotic Density
of Collision Orbits in the Restricted Circular Planar 3 Body Problem.” Archive
for Rational Mechanics and Analysis. Springer Nature, 2019. https://doi.org/10.1007/s00205-019-01368-7.
ieee: M. Guardia, V. Kaloshin, and J. Zhang, “Asymptotic density of collision orbits
in the Restricted Circular Planar 3 Body Problem,” Archive for Rational Mechanics
and Analysis, vol. 233, no. 2. Springer Nature, pp. 799–836, 2019.
ista: Guardia M, Kaloshin V, Zhang J. 2019. Asymptotic density of collision orbits
in the Restricted Circular Planar 3 Body Problem. Archive for Rational Mechanics
and Analysis. 233(2), 799–836.
mla: Guardia, Marcel, et al. “Asymptotic Density of Collision Orbits in the Restricted
Circular Planar 3 Body Problem.” Archive for Rational Mechanics and Analysis,
vol. 233, no. 2, Springer Nature, 2019, pp. 799–836, doi:10.1007/s00205-019-01368-7.
short: M. Guardia, V. Kaloshin, J. Zhang, Archive for Rational Mechanics and Analysis
233 (2019) 799–836.
date_created: 2020-09-17T10:41:51Z
date_published: 2019-03-12T00:00:00Z
date_updated: 2021-01-12T08:19:09Z
day: '12'
doi: 10.1007/s00205-019-01368-7
extern: '1'
fulldoi: https://doi.org/10.1007/s00205-019-01368-7
intvolume: ' 233'
issue: '2'
keyword:
- Mechanical Engineering
- Mathematics (miscellaneous)
- Analysis
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1007/s00205-019-01368-7
month: '03'
oa: 1
oa_version: Published Version
page: 799-836
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
issn:
- 0003-9527
- 1432-0673
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
status: public
title: Asymptotic density of collision orbits in the Restricted Circular Planar 3
Body Problem
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 233
year: '2019'
...
---
_id: '10878'
abstract:
- lang: eng
text: Starting from a microscopic model for a system of neurons evolving in time
which individually follow a stochastic integrate-and-fire type model, we study
a mean-field limit of the system. Our model is described by a system of SDEs with
discontinuous coefficients for the action potential of each neuron and takes into
account the (random) spatial configuration of neurons allowing the interaction
to depend on it. In the limit as the number of particles tends to infinity, we
obtain a nonlinear Fokker-Planck type PDE in two variables, with derivatives only
with respect to one variable and discontinuous coefficients. We also study strong
well-posedness of the system of SDEs and prove the existence and uniqueness of
a weak measure-valued solution to the PDE, obtained as the limit of the laws of
the empirical measures for the system of particles.
acknowledgement: "The second author has been partially supported by INdAM through
the GNAMPA Research\r\nProject (2017) “Sistemi stocastici singolari: buona posizione
e problemi di controllo”. The third\r\nauthor was partly funded by the Austrian
Science Fund (FWF) project F 65."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Franco
full_name: Flandoli, Franco
last_name: Flandoli
- first_name: Enrico
full_name: Priola, Enrico
last_name: Priola
- first_name: Giovanni A
full_name: Zanco, Giovanni A
id: 47491882-F248-11E8-B48F-1D18A9856A87
last_name: Zanco
orcid: 0000-0002-4680-9740
citation:
ama: Flandoli F, Priola E, Zanco GA. A mean-field model with discontinuous coefficients
for neurons with spatial interaction. Discrete and Continuous Dynamical Systems.
2019;39(6):3037-3067. doi:10.3934/dcds.2019126
apa: Flandoli, F., Priola, E., & Zanco, G. A. (2019). A mean-field model with
discontinuous coefficients for neurons with spatial interaction. Discrete and
Continuous Dynamical Systems. AIMS. https://doi.org/10.3934/dcds.2019126
chicago: Flandoli, Franco, Enrico Priola, and Giovanni A Zanco. “A Mean-Field Model
with Discontinuous Coefficients for Neurons with Spatial Interaction.” Discrete
and Continuous Dynamical Systems. AIMS, 2019. https://doi.org/10.3934/dcds.2019126.
ieee: F. Flandoli, E. Priola, and G. A. Zanco, “A mean-field model with discontinuous
coefficients for neurons with spatial interaction,” Discrete and Continuous
Dynamical Systems, vol. 39, no. 6. AIMS, pp. 3037–3067, 2019.
ista: Flandoli F, Priola E, Zanco GA. 2019. A mean-field model with discontinuous
coefficients for neurons with spatial interaction. Discrete and Continuous Dynamical
Systems. 39(6), 3037–3067.
mla: Flandoli, Franco, et al. “A Mean-Field Model with Discontinuous Coefficients
for Neurons with Spatial Interaction.” Discrete and Continuous Dynamical Systems,
vol. 39, no. 6, AIMS, 2019, pp. 3037–67, doi:10.3934/dcds.2019126.
short: F. Flandoli, E. Priola, G.A. Zanco, Discrete and Continuous Dynamical Systems
39 (2019) 3037–3067.
corr_author: '1'
date_created: 2022-03-18T12:33:34Z
date_published: 2019-06-01T00:00:00Z
date_updated: 2026-08-12T06:18:59Z
day: '01'
department:
- _id: JaMa
doi: 10.3934/dcds.2019126
external_id:
arxiv:
- '1708.04156'
isi:
- '000459954800003'
fulldoi: https://doi.org/10.3934/dcds.2019126
intvolume: ' 39'
isi: 1
issue: '6'
keyword:
- Applied Mathematics
- Discrete Mathematics and Combinatorics
- Analysis
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1708.04156
month: '06'
oa: 1
oa_version: Preprint
page: 3037-3067
project:
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
grant_number: F6504
name: Taming Complexity in Partial Differential Systems
publication: Discrete and Continuous Dynamical Systems
publication_identifier:
issn:
- 1553-5231
publication_status: published
publisher: AIMS
quality_controlled: '1'
scopus_import: '1'
status: public
title: A mean-field model with discontinuous coefficients for neurons with spatial
interaction
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 39
year: '2019'
...