---
_id: '8793'
abstract:
- lang: eng
text: We study optimal election sequences for repeatedly selecting a (very) small
group of leaders among a set of participants (players) with publicly known unique
ids. In every time slot, every player has to select exactly one player that it
considers to be the current leader, oblivious to the selection of the other players,
but with the overarching goal of maximizing a given parameterized global (“social”)
payoff function in the limit. We consider a quite generic model, where the local
payoff achieved by a given player depends, weighted by some arbitrary but fixed
real parameter, on the number of different leaders chosen in a round, the number
of players that choose the given player as the leader, and whether the chosen
leader has changed w.r.t. the previous round or not. The social payoff can be
the maximum, average or minimum local payoff of the players. Possible applications
include quite diverse examples such as rotating coordinator-based distributed
algorithms and long-haul formation flying of social birds. Depending on the weights
and the particular social payoff, optimal sequences can be very different, from
simple round-robin where all players chose the same leader alternatingly every
time slot to very exotic patterns, where a small group of leaders (at most 2)
is elected in every time slot. Moreover, we study the question if and when a single
player would not benefit w.r.t. its local payoff when deviating from the given
optimal sequence, i.e., when our optimal sequences are Nash equilibria in the
restricted strategy space of oblivious strategies. As this is the case for many
parameterizations of our model, our results reveal that no punishment is needed
to make it rational for the players to optimize the social payoff.
acknowledgement: "We are grateful to Matthias Függer and Thomas Nowak for having raised
our interest in the problem studied in this paper.\r\nThis work has been supported
the Austrian Science Fund (FWF) projects S11405, S11407 (RiSE), and P28182 (ADynNet)."
article_processing_charge: No
article_type: original
author:
- first_name: Martin
full_name: Zeiner, Martin
last_name: Zeiner
- first_name: Ulrich
full_name: Schmid, Ulrich
last_name: Schmid
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
citation:
ama: Zeiner M, Schmid U, Chatterjee K. Optimal strategies for selecting coordinators.
Discrete Applied Mathematics. 2021;289(1):392-415. doi:10.1016/j.dam.2020.10.022
apa: Zeiner, M., Schmid, U., & Chatterjee, K. (2021). Optimal strategies for
selecting coordinators. Discrete Applied Mathematics. Elsevier. https://doi.org/10.1016/j.dam.2020.10.022
chicago: Zeiner, Martin, Ulrich Schmid, and Krishnendu Chatterjee. “Optimal Strategies
for Selecting Coordinators.” Discrete Applied Mathematics. Elsevier, 2021.
https://doi.org/10.1016/j.dam.2020.10.022.
ieee: M. Zeiner, U. Schmid, and K. Chatterjee, “Optimal strategies for selecting
coordinators,” Discrete Applied Mathematics, vol. 289, no. 1. Elsevier,
pp. 392–415, 2021.
ista: Zeiner M, Schmid U, Chatterjee K. 2021. Optimal strategies for selecting coordinators.
Discrete Applied Mathematics. 289(1), 392–415.
mla: Zeiner, Martin, et al. “Optimal Strategies for Selecting Coordinators.” Discrete
Applied Mathematics, vol. 289, no. 1, Elsevier, 2021, pp. 392–415, doi:10.1016/j.dam.2020.10.022.
short: M. Zeiner, U. Schmid, K. Chatterjee, Discrete Applied Mathematics 289 (2021)
392–415.
date_created: 2020-11-22T23:01:26Z
date_published: 2021-01-31T00:00:00Z
date_updated: 2023-08-04T11:12:41Z
day: '31'
ddc:
- '510'
department:
- _id: KrCh
doi: 10.1016/j.dam.2020.10.022
external_id:
isi:
- '000596823800035'
file:
- access_level: open_access
checksum: f1039ff5a2d6ca116720efdb84ee9d5e
content_type: application/pdf
creator: dernst
date_created: 2021-02-04T11:28:42Z
date_updated: 2021-02-04T11:28:42Z
file_id: '9089'
file_name: 2021_DiscreteApplMath_Zeiner.pdf
file_size: 652739
relation: main_file
success: 1
file_date_updated: 2021-02-04T11:28:42Z
has_accepted_license: '1'
intvolume: ' 289'
isi: 1
issue: '1'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '01'
oa: 1
oa_version: Published Version
page: 392-415
project:
- _id: 25F2ACDE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Rigorous Systems Engineering
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
publication: Discrete Applied Mathematics
publication_identifier:
issn:
- 0166218X
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optimal strategies for selecting coordinators
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: 289
year: '2021'
...
---
_id: '8816'
abstract:
- lang: eng
text: Area-dependent quantum field theory is a modification of two-dimensional topological
quantum field theory, where one equips each connected component of a bordism with
a positive real number—interpreted as area—which behaves additively under glueing.
As opposed to topological theories, in area-dependent theories the state spaces
can be infinite-dimensional. We introduce the notion of regularised Frobenius
algebras in Hilbert spaces and show that area-dependent theories are in one-to-one
correspondence to commutative regularised Frobenius algebras. We also provide
a state sum construction for area-dependent theories. Our main example is two-dimensional
Yang–Mills theory with compact gauge group, which we treat in detail.
acknowledgement: The authors thank Yuki Arano, Nils Carqueville, Alexei Davydov, Reiner
Lauterbach, Pau Enrique Moliner, Chris Heunen, André Henriques, Ehud Meir, Catherine
Meusburger, Gregor Schaumann, Richard Szabo and Stefan Wagner for helpful discussions
and comments. We also thank the referees for their detailed comments which significantly
improved the exposition of this paper. LS is supported by the DFG Research Training
Group 1670 “Mathematics Inspired by String Theory and Quantum Field Theory”. Open
access funding provided by Institute of Science and Technology (IST Austria).
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Ingo
full_name: Runkel, Ingo
last_name: Runkel
- first_name: Lorant
full_name: Szegedy, Lorant
id: 7943226E-220E-11EA-94C7-D59F3DDC885E
last_name: Szegedy
orcid: 0000-0003-2834-5054
citation:
ama: Runkel I, Szegedy L. Area-dependent quantum field theory. Communications
in Mathematical Physics. 2021;381(1):83–117. doi:10.1007/s00220-020-03902-1
apa: Runkel, I., & Szegedy, L. (2021). Area-dependent quantum field theory.
Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s00220-020-03902-1
chicago: Runkel, Ingo, and Lorant Szegedy. “Area-Dependent Quantum Field Theory.”
Communications in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s00220-020-03902-1.
ieee: I. Runkel and L. Szegedy, “Area-dependent quantum field theory,” Communications
in Mathematical Physics, vol. 381, no. 1. Springer Nature, pp. 83–117, 2021.
ista: Runkel I, Szegedy L. 2021. Area-dependent quantum field theory. Communications
in Mathematical Physics. 381(1), 83–117.
mla: Runkel, Ingo, and Lorant Szegedy. “Area-Dependent Quantum Field Theory.” Communications
in Mathematical Physics, vol. 381, no. 1, Springer Nature, 2021, pp. 83–117,
doi:10.1007/s00220-020-03902-1.
short: I. Runkel, L. Szegedy, Communications in Mathematical Physics 381 (2021)
83–117.
date_created: 2020-11-29T23:01:17Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2023-08-04T11:13:35Z
day: '01'
ddc:
- '510'
department:
- _id: MiLe
doi: 10.1007/s00220-020-03902-1
external_id:
isi:
- '000591139000001'
file:
- access_level: open_access
checksum: 6f451f9c2b74bedbc30cf884a3e02670
content_type: application/pdf
creator: dernst
date_created: 2021-02-03T15:00:30Z
date_updated: 2021-02-03T15:00:30Z
file_id: '9081'
file_name: 2021_CommMathPhys_Runkel.pdf
file_size: 790526
relation: main_file
success: 1
file_date_updated: 2021-02-03T15:00:30Z
has_accepted_license: '1'
intvolume: ' 381'
isi: 1
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 83–117
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Communications in Mathematical Physics
publication_identifier:
eissn:
- '14320916'
issn:
- '00103616'
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Area-dependent quantum field theory
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 381
year: '2021'
...
---
_id: '8818'
abstract:
- lang: eng
text: The hippocampus has a major role in encoding and consolidating long-term memories,
and undergoes plastic changes during sleep1. These changes require precise homeostatic
control by subcortical neuromodulatory structures2. The underlying mechanisms
of this phenomenon, however, remain unknown. Here, using multi-structure recordings
in macaque monkeys, we show that the brainstem transiently modulates hippocampal
network events through phasic pontine waves known as pontogeniculooccipital waves
(PGO waves). Two physiologically distinct types of PGO wave appear to occur sequentially,
selectively influencing high-frequency ripples and low-frequency theta events,
respectively. The two types of PGO wave are associated with opposite hippocampal
spike-field coupling, prompting periods of high neural synchrony of neural populations
during periods of ripple and theta instances. The coupling between PGO waves and
ripples, classically associated with distinct sleep stages, supports the notion
that a global coordination mechanism of hippocampal sleep dynamics by cholinergic
pontine transients may promote systems and synaptic memory consolidation as well
as synaptic homeostasis.
acknowledgement: We thank O. Eschenko and M. Constantinou for providing feedback on
earlier versions of this work, and J. Werner and M. Schnabel for technical support
during the development of this study. This research was supported by the Max Planck
Society.
article_processing_charge: No
article_type: original
author:
- first_name: Juan F
full_name: Ramirez Villegas, Juan F
id: 44B06F76-F248-11E8-B48F-1D18A9856A87
last_name: Ramirez Villegas
- first_name: Michel
full_name: Besserve, Michel
last_name: Besserve
- first_name: Yusuke
full_name: Murayama, Yusuke
last_name: Murayama
- first_name: Henry C.
full_name: Evrard, Henry C.
last_name: Evrard
- first_name: Axel
full_name: Oeltermann, Axel
last_name: Oeltermann
- first_name: Nikos K.
full_name: Logothetis, Nikos K.
last_name: Logothetis
citation:
ama: Ramirez Villegas JF, Besserve M, Murayama Y, Evrard HC, Oeltermann A, Logothetis
NK. Coupling of hippocampal theta and ripples with pontogeniculooccipital waves.
Nature. 2021;589(7840):96-102. doi:10.1038/s41586-020-2914-4
apa: Ramirez Villegas, J. F., Besserve, M., Murayama, Y., Evrard, H. C., Oeltermann,
A., & Logothetis, N. K. (2021). Coupling of hippocampal theta and ripples
with pontogeniculooccipital waves. Nature. Springer Nature. https://doi.org/10.1038/s41586-020-2914-4
chicago: Ramirez Villegas, Juan F, Michel Besserve, Yusuke Murayama, Henry C. Evrard,
Axel Oeltermann, and Nikos K. Logothetis. “Coupling of Hippocampal Theta and Ripples
with Pontogeniculooccipital Waves.” Nature. Springer Nature, 2021. https://doi.org/10.1038/s41586-020-2914-4.
ieee: J. F. Ramirez Villegas, M. Besserve, Y. Murayama, H. C. Evrard, A. Oeltermann,
and N. K. Logothetis, “Coupling of hippocampal theta and ripples with pontogeniculooccipital
waves,” Nature, vol. 589, no. 7840. Springer Nature, pp. 96–102, 2021.
ista: Ramirez Villegas JF, Besserve M, Murayama Y, Evrard HC, Oeltermann A, Logothetis
NK. 2021. Coupling of hippocampal theta and ripples with pontogeniculooccipital
waves. Nature. 589(7840), 96–102.
mla: Ramirez Villegas, Juan F., et al. “Coupling of Hippocampal Theta and Ripples
with Pontogeniculooccipital Waves.” Nature, vol. 589, no. 7840, Springer
Nature, 2021, pp. 96–102, doi:10.1038/s41586-020-2914-4.
short: J.F. Ramirez Villegas, M. Besserve, Y. Murayama, H.C. Evrard, A. Oeltermann,
N.K. Logothetis, Nature 589 (2021) 96–102.
date_created: 2020-11-29T23:01:19Z
date_published: 2021-01-07T00:00:00Z
date_updated: 2023-08-04T11:13:08Z
day: '07'
department:
- _id: JoCs
doi: 10.1038/s41586-020-2914-4
external_id:
isi:
- '000591047800005'
pmid:
- '33208951'
intvolume: ' 589'
isi: 1
issue: '7840'
language:
- iso: eng
month: '01'
oa_version: None
page: 96-102
pmid: 1
publication: Nature
publication_identifier:
eissn:
- '14764687'
issn:
- '00280836'
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
link:
- relation: erratum
url: https://doi.org/10.1038/s41586-020-03068-9
scopus_import: '1'
status: public
title: Coupling of hippocampal theta and ripples with pontogeniculooccipital waves
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 589
year: '2021'
...
---
_id: '8773'
abstract:
- lang: eng
text: Let g be a complex semisimple Lie algebra. We give a classification of contravariant
forms on the nondegenerate Whittaker g-modules Y(χ,η) introduced by Kostant. We
prove that the set of all contravariant forms on Y(χ,η) forms a vector space whose
dimension is given by the cardinality of the Weyl group of g. We also describe
a procedure for parabolically inducing contravariant forms. As a corollary, we
deduce the existence of the Shapovalov form on a Verma module, and provide a formula
for the dimension of the space of contravariant forms on the degenerate Whittaker
modules M(χ,η) introduced by McDowell.
acknowledgement: "We would like to thank Peter Trapa for useful discussions, and Dragan
Milicic and Arun Ram for valuable feedback on the structure of the paper. The first
author acknowledges the support of the European Unions Horizon 2020 research and
innovation programme under the Marie Skodowska-Curie Grant Agreement No. 754411.
The second author is\r\nsupported by the National Science Foundation Award No. 1803059."
article_processing_charge: No
article_type: original
author:
- first_name: Adam
full_name: Brown, Adam
id: 70B7FDF6-608D-11E9-9333-8535E6697425
last_name: Brown
- first_name: Anna
full_name: Romanov, Anna
last_name: Romanov
citation:
ama: Brown A, Romanov A. Contravariant forms on Whittaker modules. Proceedings
of the American Mathematical Society. 2021;149(1):37-52. doi:10.1090/proc/15205
apa: Brown, A., & Romanov, A. (2021). Contravariant forms on Whittaker modules.
Proceedings of the American Mathematical Society. American Mathematical
Society. https://doi.org/10.1090/proc/15205
chicago: Brown, Adam, and Anna Romanov. “Contravariant Forms on Whittaker Modules.”
Proceedings of the American Mathematical Society. American Mathematical
Society, 2021. https://doi.org/10.1090/proc/15205.
ieee: A. Brown and A. Romanov, “Contravariant forms on Whittaker modules,” Proceedings
of the American Mathematical Society, vol. 149, no. 1. American Mathematical
Society, pp. 37–52, 2021.
ista: Brown A, Romanov A. 2021. Contravariant forms on Whittaker modules. Proceedings
of the American Mathematical Society. 149(1), 37–52.
mla: Brown, Adam, and Anna Romanov. “Contravariant Forms on Whittaker Modules.”
Proceedings of the American Mathematical Society, vol. 149, no. 1, American
Mathematical Society, 2021, pp. 37–52, doi:10.1090/proc/15205.
short: A. Brown, A. Romanov, Proceedings of the American Mathematical Society 149
(2021) 37–52.
date_created: 2020-11-19T10:17:40Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2023-08-04T11:11:47Z
day: '01'
department:
- _id: HeEd
doi: 10.1090/proc/15205
ec_funded: 1
external_id:
arxiv:
- '1910.08286'
isi:
- '000600416300004'
intvolume: ' 149'
isi: 1
issue: '1'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1910.08286
month: '01'
oa: 1
oa_version: Preprint
page: 37-52
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: Proceedings of the American Mathematical Society
publication_identifier:
eissn:
- 1088-6826
issn:
- 0002-9939
publication_status: published
publisher: American Mathematical Society
quality_controlled: '1'
status: public
title: Contravariant forms on Whittaker modules
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 149
year: '2021'
...
---
_id: '8792'
abstract:
- lang: eng
text: This paper is concerned with a non-isothermal Cahn-Hilliard model based on
a microforce balance. The model was derived by A. Miranville and G. Schimperna
starting from the two fundamental laws of Thermodynamics, following M. Gurtin's
two-scale approach. The main working assumptions are made on the behaviour of
the heat flux as the absolute temperature tends to zero and to infinity. A suitable
Ginzburg-Landau free energy is considered. Global-in-time existence for the initial-boundary
value problem associated to the entropy formulation and, in a subcase, also to
the weak formulation of the model is proved by deriving suitable a priori estimates
and by showing weak sequential stability of families of approximating solutions.
At last, some highlights are given regarding a possible approximation scheme compatible
with the a-priori estimates available for the system.
acknowledgement: G. Schimperna has been partially supported by GNAMPA (Gruppo Nazionale
per l'Analisi Matematica, la Probabilità e le loro Applicazioni) of INdAM (Istituto
Nazionale di Alta Matematica).
article_processing_charge: No
article_type: original
author:
- first_name: Alice
full_name: Marveggio, Alice
id: 25647992-AA84-11E9-9D75-8427E6697425
last_name: Marveggio
- first_name: Giulio
full_name: Schimperna, Giulio
last_name: Schimperna
citation:
ama: Marveggio A, Schimperna G. On a non-isothermal Cahn-Hilliard model based on
a microforce balance. Journal of Differential Equations. 2021;274(2):924-970.
doi:10.1016/j.jde.2020.10.030
apa: Marveggio, A., & Schimperna, G. (2021). On a non-isothermal Cahn-Hilliard
model based on a microforce balance. Journal of Differential Equations.
Elsevier. https://doi.org/10.1016/j.jde.2020.10.030
chicago: Marveggio, Alice, and Giulio Schimperna. “On a Non-Isothermal Cahn-Hilliard
Model Based on a Microforce Balance.” Journal of Differential Equations.
Elsevier, 2021. https://doi.org/10.1016/j.jde.2020.10.030.
ieee: A. Marveggio and G. Schimperna, “On a non-isothermal Cahn-Hilliard model based
on a microforce balance,” Journal of Differential Equations, vol. 274,
no. 2. Elsevier, pp. 924–970, 2021.
ista: Marveggio A, Schimperna G. 2021. On a non-isothermal Cahn-Hilliard model based
on a microforce balance. Journal of Differential Equations. 274(2), 924–970.
mla: Marveggio, Alice, and Giulio Schimperna. “On a Non-Isothermal Cahn-Hilliard
Model Based on a Microforce Balance.” Journal of Differential Equations,
vol. 274, no. 2, Elsevier, 2021, pp. 924–70, doi:10.1016/j.jde.2020.10.030.
short: A. Marveggio, G. Schimperna, Journal of Differential Equations 274 (2021)
924–970.
date_created: 2020-11-22T23:01:26Z
date_published: 2021-02-15T00:00:00Z
date_updated: 2023-08-04T11:12:16Z
day: '15'
department:
- _id: JuFi
doi: 10.1016/j.jde.2020.10.030
external_id:
arxiv:
- '2004.02618'
isi:
- '000600845300023'
intvolume: ' 274'
isi: 1
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2004.02618
month: '02'
oa: 1
oa_version: Preprint
page: 924-970
publication: Journal of Differential Equations
publication_identifier:
eissn:
- '10902732'
issn:
- '00220396'
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: On a non-isothermal Cahn-Hilliard model based on a microforce balance
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 274
year: '2021'
...