---
_id: '7563'
abstract:
- lang: eng
text: "We introduce “state space persistence analysis” for deducing the symbolic
dynamics of time series data obtained from high-dimensional chaotic attractors.
To this end, we adapt a topological data analysis technique known as persistent
homology for the characterization of state space projections of chaotic trajectories
and periodic orbits. By comparing the shapes along a chaotic trajectory to those
of the periodic orbits, state space persistence analysis quantifies the shape
similarity of chaotic trajectory segments and periodic orbits. We demonstrate
the method by applying it to the three-dimensional Rössler system and a 30-dimensional
discretization of the Kuramoto–Sivashinsky partial differential equation in (1+1)
dimensions.\r\nOne way of studying chaotic attractors systematically is through
their symbolic dynamics, in which one partitions the state space into qualitatively
different regions and assigns a symbol to each such region.1–3 This yields a “coarse-grained”
state space of the system, which can then be reduced to a Markov chain encoding
all possible transitions between the states of the system. While it is possible
to obtain the symbolic dynamics of low-dimensional chaotic systems with standard
tools such as Poincaré maps, when applied to high-dimensional systems such as
turbulent flows, these tools alone are not sufficient to determine symbolic dynamics.4,5
In this paper, we develop “state space persistence analysis” and demonstrate that
it can be utilized to infer the symbolic dynamics in very high-dimensional settings."
article_number: '033109'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Gökhan
full_name: Yalniz, Gökhan
id: 66E74FA2-D8BF-11E9-8249-8DE2E5697425
last_name: Yalniz
orcid: 0000-0002-8490-9312
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
citation:
ama: Yalniz G, Budanur NB. Inferring symbolic dynamics of chaotic flows from persistence.
Chaos. 2020;30(3). doi:10.1063/1.5122969
apa: Yalniz, G., & Budanur, N. B. (2020). Inferring symbolic dynamics of chaotic
flows from persistence. Chaos. AIP Publishing. https://doi.org/10.1063/1.5122969
chicago: Yalniz, Gökhan, and Nazmi B Budanur. “Inferring Symbolic Dynamics of Chaotic
Flows from Persistence.” Chaos. AIP Publishing, 2020. https://doi.org/10.1063/1.5122969.
ieee: G. Yalniz and N. B. Budanur, “Inferring symbolic dynamics of chaotic flows
from persistence,” Chaos, vol. 30, no. 3. AIP Publishing, 2020.
ista: Yalniz G, Budanur NB. 2020. Inferring symbolic dynamics of chaotic flows from
persistence. Chaos. 30(3), 033109.
mla: Yalniz, Gökhan, and Nazmi B. Budanur. “Inferring Symbolic Dynamics of Chaotic
Flows from Persistence.” Chaos, vol. 30, no. 3, 033109, AIP Publishing,
2020, doi:10.1063/1.5122969.
short: G. Yalniz, N.B. Budanur, Chaos 30 (2020).
corr_author: '1'
date_created: 2020-03-04T08:06:25Z
date_published: 2020-03-03T00:00:00Z
date_updated: 2026-04-07T11:47:05Z
day: '03'
department:
- _id: BjHo
doi: 10.1063/1.5122969
external_id:
arxiv:
- '1910.04584'
isi:
- '000519254800002'
intvolume: ' 30'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1063/1.5122969
month: '03'
oa: 1
oa_version: Published Version
publication: Chaos
publication_identifier:
eissn:
- 1089-7682
issn:
- 1054-1500
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
related_material:
record:
- id: '19684'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Inferring symbolic dynamics of chaotic flows from persistence
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 30
year: '2020'
...
---
_id: '7933'
abstract:
- lang: eng
text: We study a mobile quantum impurity, possessing internal rotational degrees
of freedom, confined to a ring in the presence of a many-particle bosonic bath.
By considering the recently introduced rotating polaron problem, we define the
Hamiltonian and examine the energy spectrum. The weak-coupling regime is studied
by means of a variational ansatz in the truncated Fock space. The corresponding
spectrum indicates that there emerges a coupling between the internal and orbital
angular momenta of the impurity as a consequence of the phonon exchange. We interpret
the coupling as a phonon-mediated spin-orbit coupling and quantify it by using
a correlation function between the internal and the orbital angular momentum operators.
The strong-coupling regime is investigated within the Pekar approach, and it is
shown that the correlation function of the ground state shows a kink at a critical
coupling, that is explained by a sharp transition from the noninteracting state
to the states that exhibit strong interaction with the surroundings. The results
might find applications in such fields as spintronics or topological insulators
where spin-orbit coupling is of crucial importance.
article_number: '184104 '
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Mikhail
full_name: Maslov, Mikhail
id: 2E65BB0E-F248-11E8-B48F-1D18A9856A87
last_name: Maslov
orcid: 0000-0003-4074-2570
- first_name: Mikhail
full_name: Lemeshko, Mikhail
id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
last_name: Lemeshko
orcid: 0000-0002-6990-7802
- first_name: Enderalp
full_name: Yakaboylu, Enderalp
id: 38CB71F6-F248-11E8-B48F-1D18A9856A87
last_name: Yakaboylu
orcid: 0000-0001-5973-0874
citation:
ama: Maslov M, Lemeshko M, Yakaboylu E. Synthetic spin-orbit coupling mediated by
a bosonic environment. Physical Review B. 2020;101(18). doi:10.1103/PhysRevB.101.184104
apa: Maslov, M., Lemeshko, M., & Yakaboylu, E. (2020). Synthetic spin-orbit
coupling mediated by a bosonic environment. Physical Review B. American
Physical Society. https://doi.org/10.1103/PhysRevB.101.184104
chicago: Maslov, Mikhail, Mikhail Lemeshko, and Enderalp Yakaboylu. “Synthetic Spin-Orbit
Coupling Mediated by a Bosonic Environment.” Physical Review B. American
Physical Society, 2020. https://doi.org/10.1103/PhysRevB.101.184104.
ieee: M. Maslov, M. Lemeshko, and E. Yakaboylu, “Synthetic spin-orbit coupling mediated
by a bosonic environment,” Physical Review B, vol. 101, no. 18. American
Physical Society, 2020.
ista: Maslov M, Lemeshko M, Yakaboylu E. 2020. Synthetic spin-orbit coupling mediated
by a bosonic environment. Physical Review B. 101(18), 184104.
mla: Maslov, Mikhail, et al. “Synthetic Spin-Orbit Coupling Mediated by a Bosonic
Environment.” Physical Review B, vol. 101, no. 18, 184104, American Physical
Society, 2020, doi:10.1103/PhysRevB.101.184104.
short: M. Maslov, M. Lemeshko, E. Yakaboylu, Physical Review B 101 (2020).
date_created: 2020-06-07T22:00:52Z
date_published: 2020-05-01T00:00:00Z
date_updated: 2026-04-07T11:52:53Z
day: '01'
department:
- _id: MiLe
doi: 10.1103/PhysRevB.101.184104
ec_funded: 1
external_id:
arxiv:
- '1912.03092'
isi:
- '000530754700003'
intvolume: ' 101'
isi: 1
issue: '18'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1912.03092
month: '05'
oa: 1
oa_version: Preprint
project:
- _id: 26031614-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P29902
name: Quantum rotations in the presence of a many-body environment
- _id: 2688CF98-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '801770'
name: 'Angulon: physics and applications of a new quasiparticle'
publication: Physical Review B
publication_identifier:
eissn:
- 2469-9969
issn:
- 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
record:
- id: '19048'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Synthetic spin-orbit coupling mediated by a bosonic environment
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 101
year: '2020'
...
---
_id: '8135'
abstract:
- lang: eng
text: Discrete Morse theory has recently lead to new developments in the theory
of random geometric complexes. This article surveys the methods and results obtained
with this new approach, and discusses some of its shortcomings. It uses simulations
to illustrate the results and to form conjectures, getting numerical estimates
for combinatorial, topological, and geometric properties of weighted and unweighted
Delaunay mosaics, their dual Voronoi tessellations, and the Alpha and Wrap complexes
contained in the mosaics.
acknowledgement: This project has received funding from the European Research Council
(ERC) under the European Union’s Horizon 2020 research and innovation programme
(grant agreements No 78818 Alpha and No 638176). It is also partially supported
by the DFG Collaborative Research Center TRR 109, ‘Discretization in Geometry and
Dynamics’, through grant no. I02979-N35 of the Austrian Science Fund (FWF).
alternative_title:
- Abel Symposia
article_processing_charge: No
author:
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Anton
full_name: Nikitenko, Anton
id: 3E4FF1BA-F248-11E8-B48F-1D18A9856A87
last_name: Nikitenko
orcid: 0000-0002-0659-3201
- first_name: Katharina
full_name: Ölsböck, Katharina
id: 4D4AA390-F248-11E8-B48F-1D18A9856A87
last_name: Ölsböck
orcid: 0000-0002-4672-8297
- first_name: Peter
full_name: Synak, Peter
id: 331776E2-F248-11E8-B48F-1D18A9856A87
last_name: Synak
citation:
ama: 'Edelsbrunner H, Nikitenko A, Ölsböck K, Synak P. Radius functions on Poisson–Delaunay
mosaics and related complexes experimentally. In: Topological Data Analysis.
Vol 15. Springer Nature; 2020:181-218. doi:10.1007/978-3-030-43408-3_8'
apa: Edelsbrunner, H., Nikitenko, A., Ölsböck, K., & Synak, P. (2020). Radius
functions on Poisson–Delaunay mosaics and related complexes experimentally. In
Topological Data Analysis (Vol. 15, pp. 181–218). Springer Nature. https://doi.org/10.1007/978-3-030-43408-3_8
chicago: Edelsbrunner, Herbert, Anton Nikitenko, Katharina Ölsböck, and Peter Synak.
“Radius Functions on Poisson–Delaunay Mosaics and Related Complexes Experimentally.”
In Topological Data Analysis, 15:181–218. Springer Nature, 2020. https://doi.org/10.1007/978-3-030-43408-3_8.
ieee: H. Edelsbrunner, A. Nikitenko, K. Ölsböck, and P. Synak, “Radius functions
on Poisson–Delaunay mosaics and related complexes experimentally,” in Topological
Data Analysis, 2020, vol. 15, pp. 181–218.
ista: Edelsbrunner H, Nikitenko A, Ölsböck K, Synak P. 2020. Radius functions on
Poisson–Delaunay mosaics and related complexes experimentally. Topological Data
Analysis. , Abel Symposia, vol. 15, 181–218.
mla: Edelsbrunner, Herbert, et al. “Radius Functions on Poisson–Delaunay Mosaics
and Related Complexes Experimentally.” Topological Data Analysis, vol.
15, Springer Nature, 2020, pp. 181–218, doi:10.1007/978-3-030-43408-3_8.
short: H. Edelsbrunner, A. Nikitenko, K. Ölsböck, P. Synak, in:, Topological Data
Analysis, Springer Nature, 2020, pp. 181–218.
date_created: 2020-07-19T22:00:59Z
date_published: 2020-06-22T00:00:00Z
date_updated: 2026-04-07T12:35:47Z
day: '22'
ddc:
- '510'
department:
- _id: HeEd
doi: 10.1007/978-3-030-43408-3_8
ec_funded: 1
external_id:
isi:
- '001321861000008'
file:
- access_level: open_access
checksum: 7b5e0de10675d787a2ddb2091370b8d8
content_type: application/pdf
creator: dernst
date_created: 2020-10-08T08:56:14Z
date_updated: 2020-10-08T08:56:14Z
file_id: '8628'
file_name: 2020-B-01-PoissonExperimentalSurvey.pdf
file_size: 2207071
relation: main_file
success: 1
file_date_updated: 2020-10-08T08:56:14Z
has_accepted_license: '1'
intvolume: ' 15'
isi: 1
language:
- iso: eng
month: '06'
oa: 1
oa_version: Submitted Version
page: 181-218
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '788183'
name: Alpha Shape Theory Extended
- _id: 2533E772-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '638176'
name: 'Big Splash: Efficient Simulation of Natural Phenomena at Extremely Large
Scales'
- _id: 2561EBF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: I02979-N35
name: Persistence and stability of geometric complexes
publication: Topological Data Analysis
publication_identifier:
eissn:
- 2197-8549
isbn:
- '9783030434076'
issn:
- 2193-2808
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '19630'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Radius functions on Poisson–Delaunay mosaics and related complexes experimentally
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 15
year: '2020'
...
---
OA_place: repository
OA_type: green
_id: '8308'
abstract:
- lang: eng
text: 'Many-body localization provides a mechanism to avoid thermalization in isolated
interacting quantum systems. The breakdown of thermalization may be complete,
when all eigenstates in the many-body spectrum become localized, or partial, when
the so-called many-body mobility edge separates localized and delocalized parts
of the spectrum. Previously, De Roeck et al. [Phys. Rev. B 93, 014203 (2016)]
suggested a possible instability of the many-body mobility edge in energy density.
The local ergodic regions—so-called “bubbles”—resonantly spread throughout the
system, leading to delocalization. In order to study such instability mechanism,
in this work we design a model featuring many-body mobility edge in particle density:
the states at small particle density are localized, while increasing the density
of particles leads to delocalization. Using numerical simulations with matrix
product states, we demonstrate the stability of many-body localization with respect
to small bubbles in large dilute systems for experimentally relevant timescales.
In addition, we demonstrate that processes where the bubble spreads are favored
over processes that lead to resonant tunneling, suggesting a possible mechanism
behind the observed stability of many-body mobility edge. We conclude by proposing
experiments to probe particle density mobility edge in the Bose-Hubbard model.'
acknowledgement: 'Acknowledgments. We acknowledge useful discussions with W. De Roeck
and A. Michailidis. P.B. was supported by the European Union''s Horizon 2020 research
and innovation program under the Marie Sklodowska-Curie Grant Agreement No. 665385.
D.A. was supported by the Swiss National Science Foundation. M.S. was supported
by European Research Council (ERC) under the European Union''s Horizon 2020 research
and innovation program (Grant Agreement No. 850899). This work benefited from visits
to KITP, supported by the National Science Foundation under Grant No. NSF PHY-1748958
and from the program “Thermalization, Many Body Localization and Hydrodynamics”
at International Centre for Theoretical Sciences (Code: ICTS/hydrodynamics2019/11).'
article_number: 060202(R)
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Pietro
full_name: Brighi, Pietro
id: 4115AF5C-F248-11E8-B48F-1D18A9856A87
last_name: Brighi
orcid: 0000-0002-7969-2729
- first_name: Dmitry A.
full_name: Abanin, Dmitry A.
last_name: Abanin
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
citation:
ama: Brighi P, Abanin DA, Serbyn M. Stability of mobility edges in disordered interacting
systems. Physical Review B. 2020;102(6). doi:10.1103/physrevb.102.060202
apa: Brighi, P., Abanin, D. A., & Serbyn, M. (2020). Stability of mobility edges
in disordered interacting systems. Physical Review B. American Physical
Society. https://doi.org/10.1103/physrevb.102.060202
chicago: Brighi, Pietro, Dmitry A. Abanin, and Maksym Serbyn. “Stability of Mobility
Edges in Disordered Interacting Systems.” Physical Review B. American Physical
Society, 2020. https://doi.org/10.1103/physrevb.102.060202.
ieee: P. Brighi, D. A. Abanin, and M. Serbyn, “Stability of mobility edges in disordered
interacting systems,” Physical Review B, vol. 102, no. 6. American Physical
Society, 2020.
ista: Brighi P, Abanin DA, Serbyn M. 2020. Stability of mobility edges in disordered
interacting systems. Physical Review B. 102(6), 060202(R).
mla: Brighi, Pietro, et al. “Stability of Mobility Edges in Disordered Interacting
Systems.” Physical Review B, vol. 102, no. 6, 060202(R), American Physical
Society, 2020, doi:10.1103/physrevb.102.060202.
short: P. Brighi, D.A. Abanin, M. Serbyn, Physical Review B 102 (2020).
corr_author: '1'
date_created: 2020-08-26T19:27:42Z
date_published: 2020-08-26T00:00:00Z
date_updated: 2026-04-07T13:26:31Z
day: '26'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1103/physrevb.102.060202
ec_funded: 1
external_id:
arxiv:
- '2005.02999'
isi:
- '000562628300001'
file:
- access_level: open_access
checksum: 716442fa7861323fcc80b93718ca009c
content_type: application/pdf
creator: mserbyn
date_created: 2020-08-26T19:28:55Z
date_updated: 2020-08-26T19:28:55Z
file_id: '8309'
file_name: PhysRevB.102.060202.pdf
file_size: 488825
relation: main_file
success: 1
- access_level: open_access
checksum: be0abdc8f60fe065ea6dc92e08487122
content_type: application/pdf
creator: mserbyn
date_created: 2020-08-26T19:29:00Z
date_updated: 2020-08-26T19:29:00Z
file_id: '8310'
file_name: Supplementary-mbme.pdf
file_size: 711405
relation: main_file
success: 1
file_date_updated: 2020-08-26T19:29:00Z
has_accepted_license: '1'
intvolume: ' 102'
isi: 1
issue: '6'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Preprint
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
- _id: 23841C26-32DE-11EA-91FC-C7463DDC885E
call_identifier: H2020
grant_number: '850899'
name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
publication: Physical Review B
publication_identifier:
eissn:
- 2469-9969
issn:
- 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
record:
- id: '12732'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Stability of mobility edges in disordered interacting systems
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 102
year: '2020'
...
---
_id: '7932'
abstract:
- lang: eng
text: Pulsating flows through tubular geometries are laminar provided that velocities
are moderate. This in particular is also believed to apply to cardiovascular flows
where inertial forces are typically too low to sustain turbulence. On the other
hand, flow instabilities and fluctuating shear stresses are held responsible for
a variety of cardiovascular diseases. Here we report a nonlinear instability mechanism
for pulsating pipe flow that gives rise to bursts of turbulence at low flow rates.
Geometrical distortions of small, yet finite, amplitude are found to excite a
state consisting of helical vortices during flow deceleration. The resulting flow
pattern grows rapidly in magnitude, breaks down into turbulence, and eventually
returns to laminar when the flow accelerates. This scenario causes shear stress
fluctuations and flow reversal during each pulsation cycle. Such unsteady conditions
can adversely affect blood vessels and have been shown to promote inflammation
and dysfunction of the shear stress-sensitive endothelial cell layer.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Duo
full_name: Xu, Duo
id: 3454D55E-F248-11E8-B48F-1D18A9856A87
last_name: Xu
- first_name: Atul
full_name: Varshney, Atul
id: 2A2006B2-F248-11E8-B48F-1D18A9856A87
last_name: Varshney
orcid: 0000-0002-3072-5999
- first_name: Xingyu
full_name: Ma, Xingyu
id: 34BADBA6-F248-11E8-B48F-1D18A9856A87
last_name: Ma
orcid: 0000-0002-0179-9737
- first_name: Baofang
full_name: Song, Baofang
last_name: Song
- first_name: Michael
full_name: Riedl, Michael
id: 3BE60946-F248-11E8-B48F-1D18A9856A87
last_name: Riedl
orcid: 0000-0003-4844-6311
- first_name: Marc
full_name: Avila, Marc
last_name: Avila
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
citation:
ama: Xu D, Varshney A, Ma X, et al. Nonlinear hydrodynamic instability and turbulence
in pulsatile flow. Proceedings of the National Academy of Sciences of the United
States of America. 2020;117(21):11233-11239. doi:10.1073/pnas.1913716117
apa: Xu, D., Varshney, A., Ma, X., Song, B., Riedl, M., Avila, M., & Hof, B.
(2020). Nonlinear hydrodynamic instability and turbulence in pulsatile flow. Proceedings
of the National Academy of Sciences of the United States of America. National
Academy of Sciences. https://doi.org/10.1073/pnas.1913716117
chicago: Xu, Duo, Atul Varshney, Xingyu Ma, Baofang Song, Michael Riedl, Marc Avila,
and Björn Hof. “Nonlinear Hydrodynamic Instability and Turbulence in Pulsatile
Flow.” Proceedings of the National Academy of Sciences of the United States
of America. National Academy of Sciences, 2020. https://doi.org/10.1073/pnas.1913716117.
ieee: D. Xu et al., “Nonlinear hydrodynamic instability and turbulence in
pulsatile flow,” Proceedings of the National Academy of Sciences of the United
States of America, vol. 117, no. 21. National Academy of Sciences, pp. 11233–11239,
2020.
ista: Xu D, Varshney A, Ma X, Song B, Riedl M, Avila M, Hof B. 2020. Nonlinear hydrodynamic
instability and turbulence in pulsatile flow. Proceedings of the National Academy
of Sciences of the United States of America. 117(21), 11233–11239.
mla: Xu, Duo, et al. “Nonlinear Hydrodynamic Instability and Turbulence in Pulsatile
Flow.” Proceedings of the National Academy of Sciences of the United States
of America, vol. 117, no. 21, National Academy of Sciences, 2020, pp. 11233–39,
doi:10.1073/pnas.1913716117.
short: D. Xu, A. Varshney, X. Ma, B. Song, M. Riedl, M. Avila, B. Hof, Proceedings
of the National Academy of Sciences of the United States of America 117 (2020)
11233–11239.
date_created: 2020-06-07T22:00:51Z
date_published: 2020-05-26T00:00:00Z
date_updated: 2026-04-07T13:29:13Z
day: '26'
department:
- _id: BjHo
doi: 10.1073/pnas.1913716117
ec_funded: 1
external_id:
arxiv:
- '2005.11190'
isi:
- '000536797100014'
pmid:
- '32393637'
intvolume: ' 117'
isi: 1
issue: '21'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2005.11190
month: '05'
oa: 1
oa_version: Preprint
page: 11233-11239
pmid: 1
project:
- _id: 238B8092-32DE-11EA-91FC-C7463DDC885E
call_identifier: FWF
grant_number: I04188
name: Instabilities in pulsating pipe flow in complex fluids
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: Proceedings of the National Academy of Sciences of the United States
of America
publication_identifier:
eissn:
- 1091-6490
issn:
- 0027-8424
publication_status: published
publisher: National Academy of Sciences
quality_controlled: '1'
related_material:
link:
- description: News on IST Homepage
relation: press_release
url: https://ist.ac.at/en/news/blood-flows-more-turbulent-than-previously-expected/
record:
- id: '12726'
relation: dissertation_contains
status: public
- id: '14530'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Nonlinear hydrodynamic instability and turbulence in pulsatile flow
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 117
year: '2020'
...
---
_id: '8705'
abstract:
- lang: eng
text: We consider the quantum mechanical many-body problem of a single impurity
particle immersed in a weakly interacting Bose gas. The impurity interacts with
the bosons via a two-body potential. We study the Hamiltonian of this system in
the mean-field limit and rigorously show that, at low energies, the problem is
well described by the Fröhlich polaron model.
acknowledgement: Financial support through the European Research Council (ERC) under
the European Union’s Horizon 2020 research and innovation programme Grant agreement
No. 694227 (R.S.) and the Maria Skłodowska-Curie Grant agreement No. 665386 (K.M.)
is gratefully acknowledged. Funding Open access funding provided by Institute of
Science and Technology (IST Austria)
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Krzysztof
full_name: Mysliwy, Krzysztof
id: 316457FC-F248-11E8-B48F-1D18A9856A87
last_name: Mysliwy
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Mysliwy K, Seiringer R. Microscopic derivation of the Fröhlich Hamiltonian
for the Bose polaron in the mean-field limit. Annales Henri Poincare. 2020;21(12):4003-4025.
doi:10.1007/s00023-020-00969-3
apa: Mysliwy, K., & Seiringer, R. (2020). Microscopic derivation of the Fröhlich
Hamiltonian for the Bose polaron in the mean-field limit. Annales Henri Poincare.
Springer Nature. https://doi.org/10.1007/s00023-020-00969-3
chicago: Mysliwy, Krzysztof, and Robert Seiringer. “Microscopic Derivation of the
Fröhlich Hamiltonian for the Bose Polaron in the Mean-Field Limit.” Annales
Henri Poincare. Springer Nature, 2020. https://doi.org/10.1007/s00023-020-00969-3.
ieee: K. Mysliwy and R. Seiringer, “Microscopic derivation of the Fröhlich Hamiltonian
for the Bose polaron in the mean-field limit,” Annales Henri Poincare,
vol. 21, no. 12. Springer Nature, pp. 4003–4025, 2020.
ista: Mysliwy K, Seiringer R. 2020. Microscopic derivation of the Fröhlich Hamiltonian
for the Bose polaron in the mean-field limit. Annales Henri Poincare. 21(12),
4003–4025.
mla: Mysliwy, Krzysztof, and Robert Seiringer. “Microscopic Derivation of the Fröhlich
Hamiltonian for the Bose Polaron in the Mean-Field Limit.” Annales Henri Poincare,
vol. 21, no. 12, Springer Nature, 2020, pp. 4003–25, doi:10.1007/s00023-020-00969-3.
short: K. Mysliwy, R. Seiringer, Annales Henri Poincare 21 (2020) 4003–4025.
corr_author: '1'
date_created: 2020-10-25T23:01:19Z
date_published: 2020-12-01T00:00:00Z
date_updated: 2026-04-07T14:14:51Z
day: '01'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1007/s00023-020-00969-3
ec_funded: 1
external_id:
arxiv:
- '2003.12371'
isi:
- '000578111800002'
file:
- access_level: open_access
checksum: c12c9c1e6f08def245e42f3cb1d83827
content_type: application/pdf
creator: cziletti
date_created: 2020-10-27T12:49:04Z
date_updated: 2020-10-27T12:49:04Z
file_id: '8711'
file_name: 2020_Annales_Mysliwy.pdf
file_size: 469831
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isi: 1
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month: '12'
oa: 1
oa_version: Published Version
page: 4003-4025
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: Annales Henri Poincare
publication_identifier:
issn:
- 1424-0637
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '11473'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in
the mean-field limit
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: 21
year: '2020'
...
---
_id: '7465'
abstract:
- lang: eng
text: The flexible development of plants is characterized by a high capacity for
post-embryonic organ formation and tissue regeneration, processes, which require
tightly regulated intercellular communication and coordinated tissue (re-)polarization.
The phytohormone auxin, the main driver for these processes, is able to establish
polarized auxin transport channels, which are characterized by the expression
and polar, subcellular localization of the PIN1 auxin transport proteins. These
channels are demarcating the position of future vascular strands necessary for
organ formation and tissue regeneration. Major progress has been made in the last
years to understand how PINs can change their polarity in different contexts and
thus guide auxin flow through the plant. However, it still remains elusive how
auxin mediates the establishment of auxin conducting channels and the formation
of vascular tissue and which cellular processes are involved. By the means of
sophisticated regeneration experiments combined with local auxin applications
in Arabidopsis thaliana inflorescence stems we show that (i) PIN subcellular dynamics,
(ii) PIN internalization by clathrin-mediated trafficking and (iii) an intact
actin cytoskeleton required for post-endocytic trafficking are indispensable for
auxin channel formation, de novo vascular formation and vascular regeneration
after wounding. These observations provide novel insights into cellular mechanism
of coordinated tissue polarization during auxin canalization.
article_number: '110414'
article_processing_charge: No
article_type: original
author:
- first_name: Ewa
full_name: Mazur, Ewa
last_name: Mazur
- first_name: Michelle C
full_name: Gallei, Michelle C
id: 35A03822-F248-11E8-B48F-1D18A9856A87
last_name: Gallei
orcid: 0000-0003-1286-7368
- first_name: Maciek
full_name: Adamowski, Maciek
id: 45F536D2-F248-11E8-B48F-1D18A9856A87
last_name: Adamowski
orcid: 0000-0001-6463-5257
- first_name: Huibin
full_name: Han, Huibin
id: 31435098-F248-11E8-B48F-1D18A9856A87
last_name: Han
- first_name: Hélène S.
full_name: Robert, Hélène S.
last_name: Robert
- first_name: Jiří
full_name: Friml, Jiří
id: 4159519E-F248-11E8-B48F-1D18A9856A87
last_name: Friml
orcid: 0000-0002-8302-7596
citation:
ama: Mazur E, Gallei MC, Adamowski M, Han H, Robert HS, Friml J. Clathrin-mediated
trafficking and PIN trafficking are required for auxin canalization and vascular
tissue formation in Arabidopsis. Plant Science. 2020;293(4). doi:10.1016/j.plantsci.2020.110414
apa: Mazur, E., Gallei, M. C., Adamowski, M., Han, H., Robert, H. S., & Friml,
J. (2020). Clathrin-mediated trafficking and PIN trafficking are required for
auxin canalization and vascular tissue formation in Arabidopsis. Plant Science.
Elsevier. https://doi.org/10.1016/j.plantsci.2020.110414
chicago: Mazur, Ewa, Michelle C Gallei, Maciek Adamowski, Huibin Han, Hélène S.
Robert, and Jiří Friml. “Clathrin-Mediated Trafficking and PIN Trafficking Are
Required for Auxin Canalization and Vascular Tissue Formation in Arabidopsis.”
Plant Science. Elsevier, 2020. https://doi.org/10.1016/j.plantsci.2020.110414.
ieee: E. Mazur, M. C. Gallei, M. Adamowski, H. Han, H. S. Robert, and J. Friml,
“Clathrin-mediated trafficking and PIN trafficking are required for auxin canalization
and vascular tissue formation in Arabidopsis,” Plant Science, vol. 293,
no. 4. Elsevier, 2020.
ista: Mazur E, Gallei MC, Adamowski M, Han H, Robert HS, Friml J. 2020. Clathrin-mediated
trafficking and PIN trafficking are required for auxin canalization and vascular
tissue formation in Arabidopsis. Plant Science. 293(4), 110414.
mla: Mazur, Ewa, et al. “Clathrin-Mediated Trafficking and PIN Trafficking Are Required
for Auxin Canalization and Vascular Tissue Formation in Arabidopsis.” Plant
Science, vol. 293, no. 4, 110414, Elsevier, 2020, doi:10.1016/j.plantsci.2020.110414.
short: E. Mazur, M.C. Gallei, M. Adamowski, H. Han, H.S. Robert, J. Friml, Plant
Science 293 (2020).
corr_author: '1'
date_created: 2020-02-09T23:00:50Z
date_published: 2020-04-01T00:00:00Z
date_updated: 2026-04-07T14:18:57Z
day: '01'
ddc:
- '580'
department:
- _id: JiFr
doi: 10.1016/j.plantsci.2020.110414
ec_funded: 1
external_id:
isi:
- '000520609800009'
pmid:
- '32081263'
file:
- access_level: open_access
checksum: f7f27c6a8fea985ceb9279be2204461c
content_type: application/pdf
creator: dernst
date_created: 2020-02-10T08:59:36Z
date_updated: 2020-07-14T12:47:59Z
file_id: '7471'
file_name: 2020_PlantScience_Mazur.pdf
file_size: 3499069
relation: main_file
file_date_updated: 2020-07-14T12:47:59Z
has_accepted_license: '1'
intvolume: ' 293'
isi: 1
issue: '4'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 261099A6-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '742985'
name: Tracing Evolution of Auxin Transport and Polarity in Plants
publication: Plant Science
publication_identifier:
eissn:
- 1873-2259
issn:
- 0168-9452
publication_status: published
publisher: Elsevier
quality_controlled: '1'
related_material:
record:
- id: '11626'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Clathrin-mediated trafficking and PIN trafficking are required for auxin canalization
and vascular tissue formation in Arabidopsis
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: ba8df636-2132-11f1-aed0-ed93e2281fdd
volume: 293
year: '2020'
...
---
_id: '8138'
abstract:
- lang: eng
text: Directional transport of the phytohormone auxin is a versatile, plant-specific
mechanism regulating many aspects of plant development. The recently identified
plant hormones, strigolactones (SLs), are implicated in many plant traits; among
others, they modify the phenotypic output of PIN-FORMED (PIN) auxin transporters
for fine-tuning of growth and developmental responses. Here, we show in pea and
Arabidopsis that SLs target processes dependent on the canalization of auxin flow,
which involves auxin feedback on PIN subcellular distribution. D14 receptor- and
MAX2 F-box-mediated SL signaling inhibits the formation of auxin-conducting channels
after wounding or from artificial auxin sources, during vasculature de novo formation
and regeneration. At the cellular level, SLs interfere with auxin effects on PIN
polar targeting, constitutive PIN trafficking as well as clathrin-mediated endocytosis.
Our results identify a non-transcriptional mechanism of SL action, uncoupling
auxin feedback on PIN polarity and trafficking, thereby regulating vascular tissue
formation and regeneration.
acknowledgement: We are grateful to David Nelson for providing published materials
and extremely helpful comments, and Elizabeth Dun and Christine Beveridge for helpful
discussions. The research leading to these results has received funding from the
European Research Council (ERC) under the European Union's Horizon 2020 research
and innovation programme (742985). This work was also supported by the Beijing Municipal
Natural Science Foundation (5192011), Beijing Outstanding University Discipline
Program, the National Natural Science Foundation of China (31370309), CEITEC 2020
(LQ1601) project with financial contribution made by the Ministry of Education,
Youth and Sports of the Czech Republic within special support paid from the National
Program of Sustainability II funds, Australian Research Council (FT180100081), and
China Postdoctoral Science Foundation (2019M660864).
article_processing_charge: No
article_type: original
author:
- first_name: J
full_name: Zhang, J
last_name: Zhang
- first_name: E
full_name: Mazur, E
last_name: Mazur
- first_name: J
full_name: Balla, J
last_name: Balla
- first_name: Michelle C
full_name: Gallei, Michelle C
id: 35A03822-F248-11E8-B48F-1D18A9856A87
last_name: Gallei
orcid: 0000-0003-1286-7368
- first_name: P
full_name: Kalousek, P
last_name: Kalousek
- first_name: Z
full_name: Medveďová, Z
last_name: Medveďová
- first_name: Y
full_name: Li, Y
last_name: Li
- first_name: Y
full_name: Wang, Y
last_name: Wang
- first_name: Tomas
full_name: Prat, Tomas
id: 3DA3BFEE-F248-11E8-B48F-1D18A9856A87
last_name: Prat
- first_name: Mina K
full_name: Vasileva, Mina K
id: 3407EB18-F248-11E8-B48F-1D18A9856A87
last_name: Vasileva
- first_name: V
full_name: Reinöhl, V
last_name: Reinöhl
- first_name: S
full_name: Procházka, S
last_name: Procházka
- first_name: R
full_name: Halouzka, R
last_name: Halouzka
- first_name: P
full_name: Tarkowski, P
last_name: Tarkowski
- first_name: C
full_name: Luschnig, C
last_name: Luschnig
- first_name: PB
full_name: Brewer, PB
last_name: Brewer
- first_name: Jiří
full_name: Friml, Jiří
id: 4159519E-F248-11E8-B48F-1D18A9856A87
last_name: Friml
orcid: 0000-0002-8302-7596
citation:
ama: Zhang J, Mazur E, Balla J, et al. Strigolactones inhibit auxin feedback on
PIN-dependent auxin transport canalization. Nature Communications. 2020;11(1):3508.
doi:10.1038/s41467-020-17252-y
apa: Zhang, J., Mazur, E., Balla, J., Gallei, M. C., Kalousek, P., Medveďová, Z.,
… Friml, J. (2020). Strigolactones inhibit auxin feedback on PIN-dependent auxin
transport canalization. Nature Communications. Springer Nature. https://doi.org/10.1038/s41467-020-17252-y
chicago: Zhang, J, E Mazur, J Balla, Michelle C Gallei, P Kalousek, Z Medveďová,
Y Li, et al. “Strigolactones Inhibit Auxin Feedback on PIN-Dependent Auxin Transport
Canalization.” Nature Communications. Springer Nature, 2020. https://doi.org/10.1038/s41467-020-17252-y.
ieee: J. Zhang et al., “Strigolactones inhibit auxin feedback on PIN-dependent
auxin transport canalization,” Nature Communications, vol. 11, no. 1. Springer
Nature, p. 3508, 2020.
ista: Zhang J, Mazur E, Balla J, Gallei MC, Kalousek P, Medveďová Z, Li Y, Wang
Y, Prat T, Vasileva MK, Reinöhl V, Procházka S, Halouzka R, Tarkowski P, Luschnig
C, Brewer P, Friml J. 2020. Strigolactones inhibit auxin feedback on PIN-dependent
auxin transport canalization. Nature Communications. 11(1), 3508.
mla: Zhang, J., et al. “Strigolactones Inhibit Auxin Feedback on PIN-Dependent Auxin
Transport Canalization.” Nature Communications, vol. 11, no. 1, Springer
Nature, 2020, p. 3508, doi:10.1038/s41467-020-17252-y.
short: J. Zhang, E. Mazur, J. Balla, M.C. Gallei, P. Kalousek, Z. Medveďová, Y.
Li, Y. Wang, T. Prat, M.K. Vasileva, V. Reinöhl, S. Procházka, R. Halouzka, P.
Tarkowski, C. Luschnig, P. Brewer, J. Friml, Nature Communications 11 (2020) 3508.
corr_author: '1'
date_created: 2020-07-21T08:58:07Z
date_published: 2020-07-14T00:00:00Z
date_updated: 2026-04-07T14:18:57Z
day: '14'
ddc:
- '580'
department:
- _id: JiFr
doi: 10.1038/s41467-020-17252-y
ec_funded: 1
external_id:
isi:
- '000550062200004'
pmid:
- '32665554'
file:
- access_level: open_access
content_type: application/pdf
creator: dernst
date_created: 2020-07-22T08:32:55Z
date_updated: 2020-07-22T08:32:55Z
file_id: '8148'
file_name: 2020_NatureComm_Zhang.pdf
file_size: 1759490
relation: main_file
success: 1
file_date_updated: 2020-07-22T08:32:55Z
has_accepted_license: '1'
intvolume: ' 11'
isi: 1
issue: '1'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: '3508'
pmid: 1
project:
- _id: 261099A6-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '742985'
name: Tracing Evolution of Auxin Transport and Polarity in Plants
publication: Nature Communications
publication_identifier:
issn:
- 2041-1723
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '11626'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Strigolactones inhibit auxin feedback on PIN-dependent auxin transport canalization
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: 11
year: '2020'
...
---
_id: '7142'
abstract:
- lang: eng
text: The phytohormone auxin acts as an amazingly versatile coordinator of plant
growth and development. With its morphogen-like properties, auxin controls sites
and timing of differentiation and/or growth responses both, in quantitative and
qualitative terms. Specificity in the auxin response depends largely on distinct
modes of signal transmission, by which individual cells perceive and convert auxin
signals into a remarkable diversity of responses. The best understood, or so-called
canonical mechanism of auxin perception ultimately results in variable adjustments
of the cellular transcriptome, via a short, nuclear signal transduction pathway.
Additional findings that accumulated over decades implied that an additional,
presumably, cell surface-based auxin perception mechanism mediates very rapid
cellular responses and decisively contributes to the cell's overall hormonal response.
Recent investigations into both, nuclear and cell surface auxin signalling challenged
this assumed partition of roles for different auxin signalling pathways and revealed
an unexpected complexity in transcriptional and non-transcriptional cellular responses
mediated by auxin.
acknowledgement: Research in J.F. laboratory is funded by the European Union's Horizon
2020 program (ERC grant agreement n° 742985); C.L. is supported by the Austrian
Science Fund (FWF grant P 31493).
article_processing_charge: No
article_type: original
author:
- first_name: Michelle C
full_name: Gallei, Michelle C
id: 35A03822-F248-11E8-B48F-1D18A9856A87
last_name: Gallei
orcid: 0000-0003-1286-7368
- first_name: Christian
full_name: Luschnig, Christian
last_name: Luschnig
- first_name: Jiří
full_name: Friml, Jiří
id: 4159519E-F248-11E8-B48F-1D18A9856A87
last_name: Friml
orcid: 0000-0002-8302-7596
citation:
ama: 'Gallei MC, Luschnig C, Friml J. Auxin signalling in growth: Schrödinger’s
cat out of the bag. Current Opinion in Plant Biology. 2020;53(2):43-49.
doi:10.1016/j.pbi.2019.10.003'
apa: 'Gallei, M. C., Luschnig, C., & Friml, J. (2020). Auxin signalling in growth:
Schrödinger’s cat out of the bag. Current Opinion in Plant Biology. Elsevier.
https://doi.org/10.1016/j.pbi.2019.10.003'
chicago: 'Gallei, Michelle C, Christian Luschnig, and Jiří Friml. “Auxin Signalling
in Growth: Schrödinger’s Cat out of the Bag.” Current Opinion in Plant Biology.
Elsevier, 2020. https://doi.org/10.1016/j.pbi.2019.10.003.'
ieee: 'M. C. Gallei, C. Luschnig, and J. Friml, “Auxin signalling in growth: Schrödinger’s
cat out of the bag,” Current Opinion in Plant Biology, vol. 53, no. 2.
Elsevier, pp. 43–49, 2020.'
ista: 'Gallei MC, Luschnig C, Friml J. 2020. Auxin signalling in growth: Schrödinger’s
cat out of the bag. Current Opinion in Plant Biology. 53(2), 43–49.'
mla: 'Gallei, Michelle C., et al. “Auxin Signalling in Growth: Schrödinger’s Cat
out of the Bag.” Current Opinion in Plant Biology, vol. 53, no. 2, Elsevier,
2020, pp. 43–49, doi:10.1016/j.pbi.2019.10.003.'
short: M.C. Gallei, C. Luschnig, J. Friml, Current Opinion in Plant Biology 53 (2020)
43–49.
corr_author: '1'
date_created: 2019-12-02T12:05:26Z
date_published: 2020-02-01T00:00:00Z
date_updated: 2026-04-07T14:18:57Z
day: '01'
department:
- _id: JiFr
doi: 10.1016/j.pbi.2019.10.003
ec_funded: 1
external_id:
isi:
- '000521120600007'
pmid:
- '31760231'
intvolume: ' 53'
isi: 1
issue: '2'
language:
- iso: eng
month: '02'
oa_version: None
page: 43-49
pmid: 1
project:
- _id: 261099A6-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '742985'
name: Tracing Evolution of Auxin Transport and Polarity in Plants
publication: Current Opinion in Plant Biology
publication_identifier:
eissn:
- 1879-0356
issn:
- 1369-5266
publication_status: published
publisher: Elsevier
quality_controlled: '1'
related_material:
record:
- id: '11626'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: 'Auxin signalling in growth: Schrödinger''s cat out of the bag'
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 53
year: '2020'
...
---
_id: '8724'
abstract:
- lang: eng
text: "We study the problem of learning from multiple untrusted data sources, a
scenario of increasing practical relevance given the recent emergence of crowdsourcing
and collaborative learning paradigms. Specifically, we analyze the situation in
which a learning system obtains datasets from multiple sources, some of which
might be biased or even adversarially perturbed. It is\r\nknown that in the single-source
case, an adversary with the power to corrupt a fixed fraction of the training
data can prevent PAC-learnability, that is, even in the limit of infinitely much
training data, no learning system can approach the optimal test error. In this
work we show that, surprisingly, the same is not true in the multi-source setting,
where the adversary can arbitrarily\r\ncorrupt a fixed fraction of the data sources.
Our main results are a generalization bound that provides finite-sample guarantees
for this learning setting, as well as corresponding lower bounds. Besides establishing
PAC-learnability our results also show that in a cooperative learning setting
sharing data with other parties has provable benefits, even if some\r\nparticipants
are malicious. "
acknowledged_ssus:
- _id: ScienComp
acknowledgement: Dan Alistarh is supported in part by the European Research Council
(ERC) under the European Union’s Horizon 2020 research and innovation programme
(grant agreement No 805223 ScaleML). This research was supported by the Scientific
Service Units (SSU) of IST Austria through resources provided by Scientific Computing
(SciComp).
article_processing_charge: No
arxiv: 1
author:
- first_name: Nikola H
full_name: Konstantinov, Nikola H
id: 4B9D76E4-F248-11E8-B48F-1D18A9856A87
last_name: Konstantinov
orcid: 0009-0009-5204-7621
- first_name: Elias
full_name: Frantar, Elias
id: 09a8f98d-ec99-11ea-ae11-c063a7b7fe5f
last_name: Frantar
- first_name: Dan-Adrian
full_name: Alistarh, Dan-Adrian
id: 4A899BFC-F248-11E8-B48F-1D18A9856A87
last_name: Alistarh
orcid: 0000-0003-3650-940X
- first_name: Christoph
full_name: Lampert, Christoph
id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
last_name: Lampert
orcid: 0000-0001-8622-7887
citation:
ama: 'Konstantinov NH, Frantar E, Alistarh D-A, Lampert C. On the sample complexity
of adversarial multi-source PAC learning. In: Proceedings of the 37th International
Conference on Machine Learning. Vol 119. ML Research Press; 2020:5416-5425.'
apa: 'Konstantinov, N. H., Frantar, E., Alistarh, D.-A., & Lampert, C. (2020).
On the sample complexity of adversarial multi-source PAC learning. In Proceedings
of the 37th International Conference on Machine Learning (Vol. 119, pp. 5416–5425).
Online: ML Research Press.'
chicago: Konstantinov, Nikola H, Elias Frantar, Dan-Adrian Alistarh, and Christoph
Lampert. “On the Sample Complexity of Adversarial Multi-Source PAC Learning.”
In Proceedings of the 37th International Conference on Machine Learning,
119:5416–25. ML Research Press, 2020.
ieee: N. H. Konstantinov, E. Frantar, D.-A. Alistarh, and C. Lampert, “On the sample
complexity of adversarial multi-source PAC learning,” in Proceedings of the
37th International Conference on Machine Learning, Online, 2020, vol. 119,
pp. 5416–5425.
ista: 'Konstantinov NH, Frantar E, Alistarh D-A, Lampert C. 2020. On the sample
complexity of adversarial multi-source PAC learning. Proceedings of the 37th International
Conference on Machine Learning. ICML: International Conference on Machine Learning
vol. 119, 5416–5425.'
mla: Konstantinov, Nikola H., et al. “On the Sample Complexity of Adversarial Multi-Source
PAC Learning.” Proceedings of the 37th International Conference on Machine
Learning, vol. 119, ML Research Press, 2020, pp. 5416–25.
short: N.H. Konstantinov, E. Frantar, D.-A. Alistarh, C. Lampert, in:, Proceedings
of the 37th International Conference on Machine Learning, ML Research Press, 2020,
pp. 5416–5425.
conference:
end_date: 2020-07-18
location: Online
name: 'ICML: International Conference on Machine Learning'
start_date: 2020-07-12
corr_author: '1'
date_created: 2020-11-05T15:25:58Z
date_published: 2020-07-12T00:00:00Z
date_updated: 2026-04-07T14:19:48Z
day: '12'
ddc:
- '000'
department:
- _id: DaAl
- _id: ChLa
ec_funded: 1
external_id:
arxiv:
- '2002.10384'
file:
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checksum: cc755d0054bc4b2be778ea7aa7884d2f
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call_identifier: H2020
grant_number: '805223'
name: Elastic Coordination for Scalable Machine Learning
publication: Proceedings of the 37th International Conference on Machine Learning
publication_identifier:
issn:
- 2640-3498
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
related_material:
link:
- relation: supplementary_material
url: http://proceedings.mlr.press/v119/konstantinov20a/konstantinov20a-supp.pdf
record:
- id: '10799'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: On the sample complexity of adversarial multi-source PAC learning
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 119
year: '2020'
...
---
_id: '8644'
abstract:
- lang: eng
text: Determining the phase diagram of systems consisting of smaller subsystems
'connected' via a tunable coupling is a challenging task relevant for a variety
of physical settings. A general question is whether new phases, not present in
the uncoupled limit, may arise. We use machine learning and a suitable quasidistance
between different points of the phase diagram to study layered spin models, in
which the spin variables constituting each of the uncoupled systems (to which
we refer as layers) are coupled to each other via an interlayer coupling. In such
systems, in general, composite order parameters involving spins of different layers
may emerge as a consequence of the interlayer coupling. We focus on the layered
Ising and Ashkin–Teller models as a paradigmatic case study, determining their
phase diagram via the application of a machine learning algorithm to the Monte
Carlo data. Remarkably our technique is able to correctly characterize all the
system phases also in the case of hidden order parameters, i.e. order parameters
whose expression in terms of the microscopic configurations would require additional
preprocessing of the data fed to the algorithm. We correctly retrieve the three
known phases of the Ashkin–Teller model with ferromagnetic couplings, including
the phase described by a composite order parameter. For the bilayer and trilayer
Ising models the phases we find are only the ferromagnetic and the paramagnetic
ones. Within the approach we introduce, owing to the construction of convolutional
neural networks, naturally suitable for layered image-like data with arbitrary
number of layers, no preprocessing of the Monte Carlo data is needed, also with
regard to its spatial structure. The physical meaning of our results is discussed
and compared with analytical data, where available. Yet, the method can be used
without any a priori knowledge of the phases one seeks to find and can be applied
to other models and structures.
acknowledgement: We thank Gesualdo Delfino, Michele Fabrizio, Piero Ferrarese, Robert
Konik, Christoph Lampert and Mikhail Lemeshko for stimulating discussions at various
stages of this work. WR has received funding from the EU Horizon 2020 program under
the Marie Skłodowska-Curie Grant Agreement No. 665385 and is a recipient of a DOC
Fellowship of the Austrian Academy of Sciences. GB acknowledges support from the
Austrian Science Fund (FWF), under project No. M2641-N27. ND acknowledges support
by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) via Collaborative
Research Center SFB 1225 (ISOQUANT)--project-id 273811115--and under Germany's Excellence
Strategy 'EXC-2181/1-390900948' (the Heidelberg STRUCTURES Excellence Cluster).
article_number: '093026'
article_processing_charge: No
article_type: original
author:
- first_name: Wojciech
full_name: Rzadkowski, Wojciech
id: 48C55298-F248-11E8-B48F-1D18A9856A87
last_name: Rzadkowski
orcid: 0000-0002-1106-4419
- first_name: N
full_name: Defenu, N
last_name: Defenu
- first_name: S
full_name: Chiacchiera, S
last_name: Chiacchiera
- first_name: A
full_name: Trombettoni, A
last_name: Trombettoni
- first_name: Giacomo
full_name: Bighin, Giacomo
id: 4CA96FD4-F248-11E8-B48F-1D18A9856A87
last_name: Bighin
orcid: 0000-0001-8823-9777
citation:
ama: Rzadkowski W, Defenu N, Chiacchiera S, Trombettoni A, Bighin G. Detecting composite
orders in layered models via machine learning. New Journal of Physics.
2020;22(9). doi:10.1088/1367-2630/abae44
apa: Rzadkowski, W., Defenu, N., Chiacchiera, S., Trombettoni, A., & Bighin,
G. (2020). Detecting composite orders in layered models via machine learning.
New Journal of Physics. IOP Publishing. https://doi.org/10.1088/1367-2630/abae44
chicago: Rzadkowski, Wojciech, N Defenu, S Chiacchiera, A Trombettoni, and Giacomo
Bighin. “Detecting Composite Orders in Layered Models via Machine Learning.” New
Journal of Physics. IOP Publishing, 2020. https://doi.org/10.1088/1367-2630/abae44.
ieee: W. Rzadkowski, N. Defenu, S. Chiacchiera, A. Trombettoni, and G. Bighin, “Detecting
composite orders in layered models via machine learning,” New Journal of Physics,
vol. 22, no. 9. IOP Publishing, 2020.
ista: Rzadkowski W, Defenu N, Chiacchiera S, Trombettoni A, Bighin G. 2020. Detecting
composite orders in layered models via machine learning. New Journal of Physics.
22(9), 093026.
mla: Rzadkowski, Wojciech, et al. “Detecting Composite Orders in Layered Models
via Machine Learning.” New Journal of Physics, vol. 22, no. 9, 093026,
IOP Publishing, 2020, doi:10.1088/1367-2630/abae44.
short: W. Rzadkowski, N. Defenu, S. Chiacchiera, A. Trombettoni, G. Bighin, New
Journal of Physics 22 (2020).
corr_author: '1'
date_created: 2020-10-11T22:01:14Z
date_published: 2020-09-01T00:00:00Z
date_updated: 2026-04-07T14:20:12Z
day: '01'
ddc:
- '530'
department:
- _id: MiLe
doi: 10.1088/1367-2630/abae44
ec_funded: 1
external_id:
isi:
- '000573298000001'
file:
- access_level: open_access
checksum: c9238fff422e7a957c3a0d559f756b3a
content_type: application/pdf
creator: dernst
date_created: 2020-10-12T12:18:47Z
date_updated: 2020-10-12T12:18:47Z
file_id: '8650'
file_name: 2020_NewJournalPhysics_Rzdkowski.pdf
file_size: 2725143
relation: main_file
success: 1
file_date_updated: 2020-10-12T12:18:47Z
has_accepted_license: '1'
intvolume: ' 22'
isi: 1
issue: '9'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
- _id: 05A235A0-7A3F-11EA-A408-12923DDC885E
grant_number: '25681'
name: Analytic and machine learning approaches to composite quantum impurities
- _id: 26986C82-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: M02641
name: A path-integral approach to composite impurities
publication: New Journal of Physics
publication_identifier:
issn:
- 1367-2630
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
related_material:
record:
- id: '10759'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Detecting composite orders in layered models via machine learning
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: 22
year: '2020'
...
---
_id: '7956'
abstract:
- lang: eng
text: When short-range attractions are combined with long-range repulsions in colloidal
particle systems, complex microphases can emerge. Here, we study a system of isotropic
particles, which can form lamellar structures or a disordered fluid phase when
temperature is varied. We show that, at equilibrium, the lamellar structure crystallizes,
while out of equilibrium, the system forms a variety of structures at different
shear rates and temperatures above melting. The shear-induced ordering is analyzed
by means of principal component analysis and artificial neural networks, which
are applied to data of reduced dimensionality. Our results reveal the possibility
of inducing ordering by shear, potentially providing a feasible route to the fabrication
of ordered lamellar structures from isotropic particles.
article_number: '204905'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: J.
full_name: Pȩkalski, J.
last_name: Pȩkalski
- first_name: Wojciech
full_name: Rzadkowski, Wojciech
id: 48C55298-F248-11E8-B48F-1D18A9856A87
last_name: Rzadkowski
orcid: 0000-0002-1106-4419
- first_name: A. Z.
full_name: Panagiotopoulos, A. Z.
last_name: Panagiotopoulos
citation:
ama: 'Pȩkalski J, Rzadkowski W, Panagiotopoulos AZ. Shear-induced ordering in systems
with competing interactions: A machine learning study. The Journal of chemical
physics. 2020;152(20). doi:10.1063/5.0005194'
apa: 'Pȩkalski, J., Rzadkowski, W., & Panagiotopoulos, A. Z. (2020). Shear-induced
ordering in systems with competing interactions: A machine learning study. The
Journal of Chemical Physics. AIP Publishing. https://doi.org/10.1063/5.0005194'
chicago: 'Pȩkalski, J., Wojciech Rzadkowski, and A. Z. Panagiotopoulos. “Shear-Induced
Ordering in Systems with Competing Interactions: A Machine Learning Study.” The
Journal of Chemical Physics. AIP Publishing, 2020. https://doi.org/10.1063/5.0005194.'
ieee: 'J. Pȩkalski, W. Rzadkowski, and A. Z. Panagiotopoulos, “Shear-induced ordering
in systems with competing interactions: A machine learning study,” The Journal
of chemical physics, vol. 152, no. 20. AIP Publishing, 2020.'
ista: 'Pȩkalski J, Rzadkowski W, Panagiotopoulos AZ. 2020. Shear-induced ordering
in systems with competing interactions: A machine learning study. The Journal
of chemical physics. 152(20), 204905.'
mla: 'Pȩkalski, J., et al. “Shear-Induced Ordering in Systems with Competing Interactions:
A Machine Learning Study.” The Journal of Chemical Physics, vol. 152, no.
20, 204905, AIP Publishing, 2020, doi:10.1063/5.0005194.'
short: J. Pȩkalski, W. Rzadkowski, A.Z. Panagiotopoulos, The Journal of Chemical
Physics 152 (2020).
date_created: 2020-06-14T22:00:49Z
date_published: 2020-05-29T00:00:00Z
date_updated: 2026-04-07T14:20:12Z
day: '29'
department:
- _id: MiLe
doi: 10.1063/5.0005194
ec_funded: 1
external_id:
arxiv:
- '2002.07294'
isi:
- '000537900300001'
pmid:
- '32486692'
intvolume: ' 152'
isi: 1
issue: '20'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1063/5.0005194
month: '05'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: The Journal of chemical physics
publication_identifier:
eissn:
- 1089-7690
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
related_material:
record:
- id: '10759'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: 'Shear-induced ordering in systems with competing interactions: A machine learning
study'
type: journal_article
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
volume: 152
year: '2020'
...
---
_id: '7573'
abstract:
- lang: eng
text: This paper deals with dynamical optimal transport metrics defined by spatial
discretisation of the Benamou–Benamou formula for the Kantorovich metric . Such
metrics appear naturally in discretisations of -gradient flow formulations for
dissipative PDE. However, it has recently been shown that these metrics do not
in general converge to , unless strong geometric constraints are imposed on the
discrete mesh. In this paper we prove that, in a 1-dimensional periodic setting,
discrete transport metrics converge to a limiting transport metric with a non-trivial
effective mobility. This mobility depends sensitively on the geometry of the mesh
and on the non-local mobility at the discrete level. Our result quantifies to
what extent discrete transport can make use of microstructure in the mesh to reduce
the cost of transport.
acknowledgement: J.M. gratefully acknowledges support by the European Research Council
(ERC) under the European Union's Horizon 2020 research and innovation programme
(grant agreement No 716117). J.M. and L.P. also acknowledge support from the Austrian
Science Fund (FWF), grants No F65 and W1245. E.K. gratefully acknowledges support
by the German Research Foundation through the Hausdorff Center for Mathematics and
the Collaborative Research Center 1060. P.G. is partially funded by the Deutsche
Forschungsgemeinschaft (DFG, German Research Foundation) – 350398276.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Peter
full_name: Gladbach, Peter
last_name: Gladbach
- first_name: Eva
full_name: Kopfer, Eva
last_name: Kopfer
- first_name: Jan
full_name: Maas, Jan
id: 4C5696CE-F248-11E8-B48F-1D18A9856A87
last_name: Maas
orcid: 0000-0002-0845-1338
- first_name: Lorenzo
full_name: Portinale, Lorenzo
id: 30AD2CBC-F248-11E8-B48F-1D18A9856A87
last_name: Portinale
citation:
ama: Gladbach P, Kopfer E, Maas J, Portinale L. Homogenisation of one-dimensional
discrete optimal transport. Journal de Mathematiques Pures et Appliquees.
2020;139(7):204-234. doi:10.1016/j.matpur.2020.02.008
apa: Gladbach, P., Kopfer, E., Maas, J., & Portinale, L. (2020). Homogenisation
of one-dimensional discrete optimal transport. Journal de Mathematiques Pures
et Appliquees. Elsevier. https://doi.org/10.1016/j.matpur.2020.02.008
chicago: Gladbach, Peter, Eva Kopfer, Jan Maas, and Lorenzo Portinale. “Homogenisation
of One-Dimensional Discrete Optimal Transport.” Journal de Mathematiques Pures
et Appliquees. Elsevier, 2020. https://doi.org/10.1016/j.matpur.2020.02.008.
ieee: P. Gladbach, E. Kopfer, J. Maas, and L. Portinale, “Homogenisation of one-dimensional
discrete optimal transport,” Journal de Mathematiques Pures et Appliquees,
vol. 139, no. 7. Elsevier, pp. 204–234, 2020.
ista: Gladbach P, Kopfer E, Maas J, Portinale L. 2020. Homogenisation of one-dimensional
discrete optimal transport. Journal de Mathematiques Pures et Appliquees. 139(7),
204–234.
mla: Gladbach, Peter, et al. “Homogenisation of One-Dimensional Discrete Optimal
Transport.” Journal de Mathematiques Pures et Appliquees, vol. 139, no.
7, Elsevier, 2020, pp. 204–34, doi:10.1016/j.matpur.2020.02.008.
short: P. Gladbach, E. Kopfer, J. Maas, L. Portinale, Journal de Mathematiques Pures
et Appliquees 139 (2020) 204–234.
date_created: 2020-03-08T23:00:47Z
date_published: 2020-07-01T00:00:00Z
date_updated: 2026-04-08T07:00:03Z
day: '01'
department:
- _id: JaMa
doi: 10.1016/j.matpur.2020.02.008
ec_funded: 1
external_id:
arxiv:
- '1905.05757'
isi:
- '000539439400008'
intvolume: ' 139'
isi: 1
issue: '7'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1905.05757
month: '07'
oa: 1
oa_version: Preprint
page: 204-234
project:
- _id: 256E75B8-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '716117'
name: Optimal Transport and Stochastic Dynamics
- _id: 260482E2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: F06504
name: Taming Complexity in Partial Differential Systems
- _id: 260788DE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: W1245
name: Dissipation and dispersion in nonlinear partial differential equations
publication: Journal de Mathematiques Pures et Appliquees
publication_identifier:
issn:
- 0021-7824
publication_status: published
publisher: Elsevier
quality_controlled: '1'
related_material:
record:
- id: '10030'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Homogenisation of one-dimensional discrete optimal transport
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 139
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'
date_created: 2021-08-06T07:34:16Z
date_published: 2020-02-12T00:00:00Z
date_updated: 2026-04-08T06:59:49Z
day: '12'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1137/19m126284x
ec_funded: 1
external_id:
arxiv:
- '1904.08647 '
isi:
- '000546967700022'
has_accepted_license: '1'
intvolume: ' 52'
isi: 1
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
- Analysis
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-nd/4.0/
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1904.08647
month: '02'
oa: 1
oa_version: Preprint
page: 605-622
project:
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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
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publisher: 'Society for Industrial and Applied Mathematics '
quality_controlled: '1'
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title: Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball
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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: '10022'
abstract:
- lang: eng
text: We consider finite-volume approximations of Fokker-Planck equations on bounded
convex domains in R^d and study the corresponding gradient flow structures. We
reprove the convergence of the discrete to continuous Fokker-Planck equation via
the method of Evolutionary Γ-convergence, i.e., we pass to the limit at the level
of the gradient flow structures, generalising the one-dimensional result obtained
by Disser and Liero. The proof is of variational nature and relies on a Mosco
convergence result for functionals in the discrete-to-continuum limit that is
of independent interest. Our results apply to arbitrary regular meshes, even though
the associated discrete transport distances may fail to converge to the Wasserstein
distance in this generality.
acknowledgement: This work is supported by the European Research Council (ERC) under
the European Union’s Horizon 2020 research and innovation programme (grant agreement
No 716117) and by the Austrian Science Fund (FWF), grants No F65 and W1245.
article_number: '2008.10962'
article_processing_charge: No
arxiv: 1
author:
- first_name: Dominik L
full_name: Forkert, Dominik L
id: 35C79D68-F248-11E8-B48F-1D18A9856A87
last_name: Forkert
- first_name: Jan
full_name: Maas, Jan
id: 4C5696CE-F248-11E8-B48F-1D18A9856A87
last_name: Maas
orcid: 0000-0002-0845-1338
- first_name: Lorenzo
full_name: Portinale, Lorenzo
id: 30AD2CBC-F248-11E8-B48F-1D18A9856A87
last_name: Portinale
citation:
ama: Forkert DL, Maas J, Portinale L. Evolutionary Γ-convergence of entropic gradient
flow structures for Fokker-Planck equations in multiple dimensions. arXiv.
doi:10.48550/arXiv.2008.10962
apa: Forkert, D. L., Maas, J., & Portinale, L. (n.d.). Evolutionary Γ-convergence
of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions.
arXiv. https://doi.org/10.48550/arXiv.2008.10962
chicago: Forkert, Dominik L, Jan Maas, and Lorenzo Portinale. “Evolutionary Γ-Convergence
of Entropic Gradient Flow Structures for Fokker-Planck Equations in Multiple Dimensions.”
ArXiv, n.d. https://doi.org/10.48550/arXiv.2008.10962.
ieee: D. L. Forkert, J. Maas, and L. Portinale, “Evolutionary Γ-convergence of entropic
gradient flow structures for Fokker-Planck equations in multiple dimensions,”
arXiv. .
ista: Forkert DL, Maas J, Portinale L. Evolutionary Γ-convergence of entropic gradient
flow structures for Fokker-Planck equations in multiple dimensions. arXiv, 2008.10962.
mla: Forkert, Dominik L., et al. “Evolutionary Γ-Convergence of Entropic Gradient
Flow Structures for Fokker-Planck Equations in Multiple Dimensions.” ArXiv,
2008.10962, doi:10.48550/arXiv.2008.10962.
short: D.L. Forkert, J. Maas, L. Portinale, ArXiv (n.d.).
corr_author: '1'
date_created: 2021-09-17T10:57:27Z
date_published: 2020-08-25T00:00:00Z
date_updated: 2026-04-08T07:00:03Z
day: '25'
department:
- _id: JaMa
doi: 10.48550/arXiv.2008.10962
ec_funded: 1
external_id:
arxiv:
- '2008.10962'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2008.10962
month: '08'
oa: 1
oa_version: Preprint
project:
- _id: 256E75B8-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '716117'
name: Optimal Transport and Stochastic Dynamics
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
grant_number: F6504
name: Taming Complexity in Partial Differential Systems
publication: arXiv
publication_status: draft
related_material:
record:
- id: '11739'
relation: later_version
status: public
- id: '10030'
relation: dissertation_contains
status: public
status: public
title: Evolutionary Γ-convergence of entropic gradient flow structures for Fokker-Planck
equations in multiple dimensions
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2020'
...
---
_id: '7489'
abstract:
- lang: eng
text: 'In the present work, we consider the evolution of two fluids separated by
a sharp interface in the presence of surface tension—like, for example, the evolution
of oil bubbles in water. Our main result is a weak–strong uniqueness principle
for the corresponding free boundary problem for the incompressible Navier–Stokes
equation: as long as a strong solution exists, any varifold solution must coincide
with it. In particular, in the absence of physical singularities, the concept
of varifold solutions—whose global in time existence has been shown by Abels (Interfaces
Free Bound 9(1):31–65, 2007) for general initial data—does not introduce a mechanism
for non-uniqueness. The key ingredient of our approach is the construction of
a relative entropy functional capable of controlling the interface error. If the
viscosities of the two fluids do not coincide, even for classical (strong) solutions
the gradient of the velocity field becomes discontinuous at the interface, introducing
the need for a careful additional adaption of the relative entropy.'
article_processing_charge: Yes (via OA deal)
article_type: original
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: Sebastian
full_name: Hensel, Sebastian
id: 4D23B7DA-F248-11E8-B48F-1D18A9856A87
last_name: Hensel
orcid: 0000-0001-7252-8072
citation:
ama: Fischer JL, Hensel S. Weak–strong uniqueness for the Navier–Stokes equation
for two fluids with surface tension. Archive for Rational Mechanics and Analysis.
2020;236:967-1087. doi:10.1007/s00205-019-01486-2
apa: Fischer, J. L., & Hensel, S. (2020). Weak–strong uniqueness for the Navier–Stokes
equation for two fluids with surface tension. Archive for Rational Mechanics
and Analysis. Springer Nature. https://doi.org/10.1007/s00205-019-01486-2
chicago: Fischer, Julian L, and Sebastian Hensel. “Weak–Strong Uniqueness for the
Navier–Stokes Equation for Two Fluids with Surface Tension.” Archive for Rational
Mechanics and Analysis. Springer Nature, 2020. https://doi.org/10.1007/s00205-019-01486-2.
ieee: J. L. Fischer and S. Hensel, “Weak–strong uniqueness for the Navier–Stokes
equation for two fluids with surface tension,” Archive for Rational Mechanics
and Analysis, vol. 236. Springer Nature, pp. 967–1087, 2020.
ista: Fischer JL, Hensel S. 2020. Weak–strong uniqueness for the Navier–Stokes equation
for two fluids with surface tension. Archive for Rational Mechanics and Analysis.
236, 967–1087.
mla: Fischer, Julian L., and Sebastian Hensel. “Weak–Strong Uniqueness for the Navier–Stokes
Equation for Two Fluids with Surface Tension.” Archive for Rational Mechanics
and Analysis, vol. 236, Springer Nature, 2020, pp. 967–1087, doi:10.1007/s00205-019-01486-2.
short: J.L. Fischer, S. Hensel, Archive for Rational Mechanics and Analysis 236
(2020) 967–1087.
corr_author: '1'
date_created: 2020-02-16T23:00:50Z
date_published: 2020-05-01T00:00:00Z
date_updated: 2026-04-08T07:01:01Z
day: '01'
ddc:
- '530'
- '532'
department:
- _id: JuFi
doi: 10.1007/s00205-019-01486-2
ec_funded: 1
external_id:
isi:
- '000511060200001'
file:
- access_level: open_access
checksum: f107e21b58f5930876f47144be37cf6c
content_type: application/pdf
creator: dernst
date_created: 2020-11-20T09:14:22Z
date_updated: 2020-11-20T09:14:22Z
file_id: '8779'
file_name: 2020_ArchRatMechAn_Fischer.pdf
file_size: 1897571
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success: 1
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has_accepted_license: '1'
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language:
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month: '05'
oa: 1
oa_version: Published Version
page: 967-1087
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '10007'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Weak–strong uniqueness for the Navier–Stokes equation for two fluids with surface
tension
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: 236
year: '2020'
...
---
_id: '10012'
abstract:
- lang: eng
text: We prove that in the absence of topological changes, the notion of BV solutions
to planar multiphase mean curvature flow does not allow for a mechanism for (unphysical)
non-uniqueness. Our approach is based on the local structure of the energy landscape
near a classical evolution by mean curvature. Mean curvature flow being the gradient
flow of the surface energy functional, we develop a gradient-flow analogue of
the notion of calibrations. Just like the existence of a calibration guarantees
that one has reached a global minimum in the energy landscape, the existence of
a "gradient flow calibration" ensures that the route of steepest descent in the
energy landscape is unique and stable.
acknowledgement: Parts of the paper were written during the visit of the authors to
the Hausdorff Research Institute for Mathematics (HIM), University of Bonn, in the
framework of the trimester program “Evolution of Interfaces”. The support and the
hospitality of HIM are gratefully acknowledged. This project has received funding
from the European Union’s Horizon 2020 research and innovation programme under the
Marie Sklodowska-Curie Grant Agreement No. 665385.
article_number: '2003.05478'
article_processing_charge: No
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: Sebastian
full_name: Hensel, Sebastian
id: 4D23B7DA-F248-11E8-B48F-1D18A9856A87
last_name: Hensel
orcid: 0000-0001-7252-8072
- first_name: Tim
full_name: Laux, Tim
last_name: Laux
- first_name: Thilo
full_name: Simon, Thilo
last_name: Simon
citation:
ama: 'Fischer JL, Hensel S, Laux T, Simon T. The local structure of the energy landscape
in multiphase mean curvature flow: weak-strong uniqueness and stability of evolutions.
arXiv. doi:10.48550/arXiv.2003.05478'
apa: 'Fischer, J. L., Hensel, S., Laux, T., & Simon, T. (n.d.). The local structure
of the energy landscape in multiphase mean curvature flow: weak-strong uniqueness
and stability of evolutions. arXiv. https://doi.org/10.48550/arXiv.2003.05478'
chicago: 'Fischer, Julian L, Sebastian Hensel, Tim Laux, and Thilo Simon. “The Local
Structure of the Energy Landscape in Multiphase Mean Curvature Flow: Weak-Strong
Uniqueness and Stability of Evolutions.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2003.05478.'
ieee: 'J. L. Fischer, S. Hensel, T. Laux, and T. Simon, “The local structure of
the energy landscape in multiphase mean curvature flow: weak-strong uniqueness
and stability of evolutions,” arXiv. .'
ista: 'Fischer JL, Hensel S, Laux T, Simon T. The local structure of the energy
landscape in multiphase mean curvature flow: weak-strong uniqueness and stability
of evolutions. arXiv, 2003.05478.'
mla: 'Fischer, Julian L., et al. “The Local Structure of the Energy Landscape in
Multiphase Mean Curvature Flow: Weak-Strong Uniqueness and Stability of Evolutions.”
ArXiv, 2003.05478, doi:10.48550/arXiv.2003.05478.'
short: J.L. Fischer, S. Hensel, T. Laux, T. Simon, ArXiv (n.d.).
date_created: 2021-09-13T12:17:11Z
date_published: 2020-03-11T00:00:00Z
date_updated: 2026-04-08T07:01:01Z
day: '11'
department:
- _id: JuFi
doi: 10.48550/arXiv.2003.05478
ec_funded: 1
external_id:
arxiv:
- '2003.05478'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2003.05478
month: '03'
oa: 1
oa_version: Preprint
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: arXiv
publication_status: draft
related_material:
record:
- id: '10007'
relation: dissertation_contains
status: public
status: public
title: 'The local structure of the energy landscape in multiphase mean curvature flow:
weak-strong uniqueness and stability of evolutions'
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2020'
...
---
_id: '8703'
abstract:
- lang: eng
text: 'Even though Delaunay originally introduced his famous triangulations in the
case of infinite point sets with translational periodicity, a software that computes
such triangulations in the general case is not yet available, to the best of our
knowledge. Combining and generalizing previous work, we present a practical algorithm
for computing such triangulations. The algorithm has been implemented and experiments
show that its performance is as good as the one of the CGAL package, which is
restricted to cubic periodicity. '
alternative_title:
- LIPIcs
article_number: '75'
article_processing_charge: No
author:
- first_name: Georg F
full_name: Osang, Georg F
id: 464B40D6-F248-11E8-B48F-1D18A9856A87
last_name: Osang
orcid: 0000-0002-8882-5116
- first_name: Mael
full_name: Rouxel-Labbé, Mael
last_name: Rouxel-Labbé
- first_name: Monique
full_name: Teillaud, Monique
last_name: Teillaud
citation:
ama: 'Osang GF, Rouxel-Labbé M, Teillaud M. Generalizing CGAL periodic Delaunay
triangulations. In: 28th Annual European Symposium on Algorithms. Vol 173.
Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.ESA.2020.75'
apa: 'Osang, G. F., Rouxel-Labbé, M., & Teillaud, M. (2020). Generalizing CGAL
periodic Delaunay triangulations. In 28th Annual European Symposium on Algorithms
(Vol. 173). Virtual, Online; Pisa, Italy: Schloss Dagstuhl - Leibniz-Zentrum für
Informatik. https://doi.org/10.4230/LIPIcs.ESA.2020.75'
chicago: Osang, Georg F, Mael Rouxel-Labbé, and Monique Teillaud. “Generalizing
CGAL Periodic Delaunay Triangulations.” In 28th Annual European Symposium on
Algorithms, Vol. 173. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
https://doi.org/10.4230/LIPIcs.ESA.2020.75.
ieee: G. F. Osang, M. Rouxel-Labbé, and M. Teillaud, “Generalizing CGAL periodic
Delaunay triangulations,” in 28th Annual European Symposium on Algorithms,
Virtual, Online; Pisa, Italy, 2020, vol. 173.
ista: 'Osang GF, Rouxel-Labbé M, Teillaud M. 2020. Generalizing CGAL periodic Delaunay
triangulations. 28th Annual European Symposium on Algorithms. ESA: European Symposium
on Algorithms, LIPIcs, vol. 173, 75.'
mla: Osang, Georg F., et al. “Generalizing CGAL Periodic Delaunay Triangulations.”
28th Annual European Symposium on Algorithms, vol. 173, 75, Schloss Dagstuhl
- Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.ESA.2020.75.
short: G.F. Osang, M. Rouxel-Labbé, M. Teillaud, in:, 28th Annual European Symposium
on Algorithms, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
conference:
end_date: 2020-09-09
location: Virtual, Online; Pisa, Italy
name: 'ESA: European Symposium on Algorithms'
start_date: 2020-09-07
corr_author: '1'
date_created: 2020-10-25T23:01:18Z
date_published: 2020-08-26T00:00:00Z
date_updated: 2026-04-08T07:01:29Z
day: '26'
ddc:
- '000'
department:
- _id: HeEd
doi: 10.4230/LIPIcs.ESA.2020.75
ec_funded: 1
file:
- access_level: open_access
checksum: fe0f7c49a99ed870c671b911e10d5496
content_type: application/pdf
creator: cziletti
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date_updated: 2020-10-27T14:31:52Z
file_id: '8712'
file_name: 2020_LIPIcs_Osang.pdf
file_size: 733291
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file_date_updated: 2020-10-27T14:31:52Z
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intvolume: ' 173'
language:
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license: https://creativecommons.org/licenses/by/3.0/
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '788183'
name: Alpha Shape Theory Extended
publication: 28th Annual European Symposium on Algorithms
publication_identifier:
isbn:
- '9783959771627'
issn:
- 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
related_material:
record:
- id: '9056'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Generalizing CGAL periodic Delaunay triangulations
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
short: CC BY (3.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 173
year: '2020'
...
---
_id: '7481'
abstract:
- lang: eng
text: 'We address the following question: How redundant is the parameterisation
of ReLU networks? Specifically, we consider transformations of the weight space
which leave the function implemented by the network intact. Two such transformations
are known for feed-forward architectures: permutation of neurons within a layer,
and positive scaling of all incoming weights of a neuron coupled with inverse
scaling of its outgoing weights. In this work, we show for architectures with
non-increasing widths that permutation and scaling are in fact the only function-preserving
weight transformations. For any eligible architecture we give an explicit construction
of a neural network such that any other network that implements the same function
can be obtained from the original one by the application of permutations and rescaling. The
proof relies on a geometric understanding of boundaries between linear regions
of ReLU networks, and we hope the developed mathematical tools are of independent
interest.'
article_processing_charge: No
author:
- first_name: Phuong
full_name: Bui Thi Mai, Phuong
id: 3EC6EE64-F248-11E8-B48F-1D18A9856A87
last_name: Bui Thi Mai
- first_name: Christoph
full_name: Lampert, Christoph
id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
last_name: Lampert
orcid: 0000-0001-8622-7887
citation:
ama: 'Phuong M, Lampert C. Functional vs. parametric equivalence of ReLU networks.
In: 8th International Conference on Learning Representations. ; 2020.'
apa: Phuong, M., & Lampert, C. (2020). Functional vs. parametric equivalence
of ReLU networks. In 8th International Conference on Learning Representations.
Online.
chicago: Phuong, Mary, and Christoph Lampert. “Functional vs. Parametric Equivalence
of ReLU Networks.” In 8th International Conference on Learning Representations,
2020.
ieee: M. Phuong and C. Lampert, “Functional vs. parametric equivalence of ReLU networks,”
in 8th International Conference on Learning Representations, Online, 2020.
ista: 'Phuong M, Lampert C. 2020. Functional vs. parametric equivalence of ReLU
networks. 8th International Conference on Learning Representations. ICLR: International
Conference on Learning Representations.'
mla: Phuong, Mary, and Christoph Lampert. “Functional vs. Parametric Equivalence
of ReLU Networks.” 8th International Conference on Learning Representations,
2020.
short: M. Phuong, C. Lampert, in:, 8th International Conference on Learning Representations,
2020.
conference:
end_date: 2020-04-30
location: Online
name: 'ICLR: International Conference on Learning Representations'
start_date: 2020-04-27
corr_author: '1'
date_created: 2020-02-11T09:07:37Z
date_published: 2020-04-26T00:00:00Z
date_updated: 2026-04-08T07:01:16Z
day: '26'
ddc:
- '000'
department:
- _id: ChLa
file:
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language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
publication: 8th International Conference on Learning Representations
publication_status: published
quality_controlled: '1'
related_material:
link:
- relation: supplementary_material
url: https://iclr.cc/virtual_2020/poster_Bylx-TNKvH.html
record:
- id: '9418'
relation: dissertation_contains
status: public
status: public
title: Functional vs. parametric equivalence of ReLU networks
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2020'
...
---
OA_place: publisher
_id: '7944'
abstract:
- lang: eng
text: "This thesis considers two examples of reconfiguration problems: flipping
edges in edge-labelled triangulations of planar point sets and swapping labelled
tokens placed on vertices of a graph. In both cases the studied structures – all
the triangulations of a given point set or all token placements on a given graph
– can be thought of as vertices of the so-called reconfiguration graph, in which
two vertices are adjacent if the corresponding structures differ by a single elementary
operation – by a flip of a diagonal in a triangulation or by a swap of tokens
on adjacent vertices, respectively. We study the reconfiguration of one instance
of a structure into another via (shortest) paths in the reconfiguration graph.\r\n\r\nFor
triangulations of point sets in which each edge has a unique label and a flip
transfers the label from the removed edge to the new edge, we prove a polynomial-time
testable condition, called the Orbit Theorem, that characterizes when two triangulations
of the same point set lie in the same connected component of the reconfiguration
graph. The condition was first conjectured by Bose, Lubiw, Pathak and Verdonschot.
We additionally provide a polynomial time algorithm that computes a reconfiguring
flip sequence, if it exists. Our proof of the Orbit Theorem uses topological properties
of a certain high-dimensional cell complex that has the usual reconfiguration
graph as its 1-skeleton.\r\n\r\nIn the context of token swapping on a tree graph,
we make partial progress on the problem of finding shortest reconfiguration sequences.
We disprove the so-called Happy Leaf Conjecture and demonstrate the importance
of swapping tokens that are already placed at the correct vertices. We also prove
that a generalization of the problem to weighted coloured token swapping is NP-hard
on trees but solvable in polynomial time on paths and stars."
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Zuzana
full_name: Masárová, Zuzana
id: 45CFE238-F248-11E8-B48F-1D18A9856A87
last_name: Masárová
orcid: 0000-0002-6660-1322
citation:
ama: Masárová Z. Reconfiguration problems. 2020. doi:10.15479/AT:ISTA:7944
apa: Masárová, Z. (2020). Reconfiguration problems. Institute of Science
and Technology Austria. https://doi.org/10.15479/AT:ISTA:7944
chicago: Masárová, Zuzana. “Reconfiguration Problems.” Institute of Science and
Technology Austria, 2020. https://doi.org/10.15479/AT:ISTA:7944.
ieee: Z. Masárová, “Reconfiguration problems,” Institute of Science and Technology
Austria, 2020.
ista: Masárová Z. 2020. Reconfiguration problems. Institute of Science and Technology
Austria.
mla: Masárová, Zuzana. Reconfiguration Problems. Institute of Science and
Technology Austria, 2020, doi:10.15479/AT:ISTA:7944.
short: Z. Masárová, Reconfiguration Problems, Institute of Science and Technology
Austria, 2020.
corr_author: '1'
date_created: 2020-06-08T00:49:46Z
date_published: 2020-06-09T00:00:00Z
date_updated: 2026-04-08T07:23:01Z
day: '09'
ddc:
- '516'
- '514'
degree_awarded: PhD
department:
- _id: HeEd
- _id: UlWa
doi: 10.15479/AT:ISTA:7944
file:
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date_created: 2020-06-08T00:34:00Z
date_updated: 2020-07-14T12:48:05Z
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keyword:
- reconfiguration
- reconfiguration graph
- triangulations
- flip
- constrained triangulations
- shellability
- piecewise-linear balls
- token swapping
- trees
- coloured weighted token swapping
language:
- iso: eng
license: https://creativecommons.org/licenses/by-sa/4.0/
month: '06'
oa: 1
oa_version: Published Version
page: '160'
publication_identifier:
isbn:
- 978-3-99078-005-3
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: '5986'
relation: part_of_dissertation
status: public
status: public
supervisor:
- first_name: Uli
full_name: Wagner, Uli
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
title: Reconfiguration problems
tmp:
image: /images/cc_by_sa.png
legal_code_url: https://creativecommons.org/licenses/by-sa/4.0/legalcode
name: Creative Commons Attribution-ShareAlike 4.0 International Public License (CC
BY-SA 4.0)
short: CC BY-SA (4.0)
type: dissertation
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
year: '2020'
...