--- _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' ...