[{"doi":"10.1016/j.dam.2020.10.022","date_published":"2021-01-31T00:00:00Z","date_created":"2020-11-22T23:01:26Z","page":"392-415","day":"31","publication":"Discrete Applied Mathematics","isi":1,"has_accepted_license":"1","year":"2021","publisher":"Elsevier","quality_controlled":"1","oa":1,"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).","title":"Optimal strategies for selecting coordinators","author":[{"first_name":"Martin","full_name":"Zeiner, Martin","last_name":"Zeiner"},{"first_name":"Ulrich","last_name":"Schmid","full_name":"Schmid, Ulrich"},{"first_name":"Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","last_name":"Chatterjee","orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu"}],"external_id":{"isi":["000596823800035"]},"article_processing_charge":"No","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"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.","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","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","short":"M. Zeiner, U. Schmid, K. Chatterjee, Discrete Applied Mathematics 289 (2021) 392–415.","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.","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.","ista":"Zeiner M, Schmid U, Chatterjee K. 2021. Optimal strategies for selecting coordinators. Discrete Applied Mathematics. 289(1), 392–415."},"project":[{"call_identifier":"FWF","_id":"25F2ACDE-B435-11E9-9278-68D0E5697425","grant_number":"S11402-N23","name":"Rigorous Systems Engineering"},{"grant_number":"S11407","name":"Game Theory","_id":"25863FF4-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"volume":289,"issue":"1","license":"https://creativecommons.org/licenses/by/4.0/","file":[{"success":1,"file_id":"9089","checksum":"f1039ff5a2d6ca116720efdb84ee9d5e","content_type":"application/pdf","relation":"main_file","access_level":"open_access","file_name":"2021_DiscreteApplMath_Zeiner.pdf","date_created":"2021-02-04T11:28:42Z","file_size":652739,"date_updated":"2021-02-04T11:28:42Z","creator":"dernst"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0166218X"]},"publication_status":"published","month":"01","intvolume":" 289","scopus_import":"1","oa_version":"Published Version","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."}],"file_date_updated":"2021-02-04T11:28:42Z","department":[{"_id":"KrCh"}],"ddc":["510"],"date_updated":"2023-08-04T11:12:41Z","status":"public","article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"_id":"8793"},{"status":"public","type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"_id":"8816","department":[{"_id":"MiLe"}],"file_date_updated":"2021-02-03T15:00:30Z","ddc":["510"],"date_updated":"2023-08-04T11:13:35Z","month":"01","intvolume":" 381","scopus_import":"1","oa_version":"Published Version","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."}],"volume":381,"issue":"1","file":[{"file_name":"2021_CommMathPhys_Runkel.pdf","date_created":"2021-02-03T15:00:30Z","file_size":790526,"date_updated":"2021-02-03T15:00:30Z","creator":"dernst","success":1,"checksum":"6f451f9c2b74bedbc30cf884a3e02670","file_id":"9081","content_type":"application/pdf","relation":"main_file","access_level":"open_access"}],"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["14320916"],"issn":["00103616"]},"publication_status":"published","project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"title":"Area-dependent quantum field theory","author":[{"last_name":"Runkel","full_name":"Runkel, Ingo","first_name":"Ingo"},{"id":"7943226E-220E-11EA-94C7-D59F3DDC885E","first_name":"Lorant","last_name":"Szegedy","orcid":"0000-0003-2834-5054","full_name":"Szegedy, Lorant"}],"external_id":{"isi":["000591139000001"]},"article_processing_charge":"Yes (via OA deal)","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ista":"Runkel I, Szegedy L. 2021. Area-dependent quantum field theory. Communications in Mathematical Physics. 381(1), 83–117.","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.","short":"I. Runkel, L. Szegedy, Communications in Mathematical Physics 381 (2021) 83–117.","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","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."},"quality_controlled":"1","publisher":"Springer Nature","oa":1,"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).","doi":"10.1007/s00220-020-03902-1","date_published":"2021-01-01T00:00:00Z","date_created":"2020-11-29T23:01:17Z","page":"83–117","day":"01","publication":"Communications in Mathematical Physics","isi":1,"has_accepted_license":"1","year":"2021"},{"title":"Coupling of hippocampal theta and ripples with pontogeniculooccipital waves","author":[{"id":"44B06F76-F248-11E8-B48F-1D18A9856A87","first_name":"Juan F","last_name":"Ramirez Villegas","full_name":"Ramirez Villegas, Juan F"},{"first_name":"Michel","last_name":"Besserve","full_name":"Besserve, Michel"},{"last_name":"Murayama","full_name":"Murayama, Yusuke","first_name":"Yusuke"},{"last_name":"Evrard","full_name":"Evrard, Henry C.","first_name":"Henry C."},{"first_name":"Axel","last_name":"Oeltermann","full_name":"Oeltermann, Axel"},{"first_name":"Nikos K.","last_name":"Logothetis","full_name":"Logothetis, Nikos K."}],"article_processing_charge":"No","external_id":{"isi":["000591047800005"],"pmid":["33208951"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"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.","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.","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","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","short":"J.F. Ramirez Villegas, M. Besserve, Y. Murayama, H.C. Evrard, A. Oeltermann, N.K. Logothetis, Nature 589 (2021) 96–102.","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.","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."},"date_published":"2021-01-07T00:00:00Z","doi":"10.1038/s41586-020-2914-4","date_created":"2020-11-29T23:01:19Z","page":"96-102","day":"07","publication":"Nature","isi":1,"year":"2021","publisher":"Springer Nature","quality_controlled":"1","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.","department":[{"_id":"JoCs"}],"date_updated":"2023-08-04T11:13:08Z","status":"public","article_type":"original","type":"journal_article","_id":"8818","issue":"7840","related_material":{"link":[{"relation":"erratum","url":"https://doi.org/10.1038/s41586-020-03068-9"}]},"volume":589,"language":[{"iso":"eng"}],"publication_identifier":{"issn":["00280836"],"eissn":["14764687"]},"publication_status":"published","month":"01","intvolume":" 589","scopus_import":"1","oa_version":"None","pmid":1,"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."}]},{"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1910.08286"}],"intvolume":" 149","month":"01","abstract":[{"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.","lang":"eng"}],"oa_version":"Preprint","ec_funded":1,"volume":149,"issue":"1","publication_status":"published","publication_identifier":{"eissn":["1088-6826"],"issn":["0002-9939"]},"language":[{"iso":"eng"}],"type":"journal_article","article_type":"original","keyword":["Applied Mathematics","General Mathematics"],"status":"public","_id":"8773","department":[{"_id":"HeEd"}],"date_updated":"2023-08-04T11:11:47Z","oa":1,"quality_controlled":"1","publisher":"American Mathematical Society","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.","page":"37-52","date_created":"2020-11-19T10:17:40Z","doi":"10.1090/proc/15205","date_published":"2021-01-01T00:00:00Z","year":"2021","isi":1,"publication":"Proceedings of the American Mathematical Society","day":"01","project":[{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411"}],"article_processing_charge":"No","external_id":{"arxiv":["1910.08286"],"isi":["000600416300004"]},"author":[{"full_name":"Brown, Adam","last_name":"Brown","first_name":"Adam","id":"70B7FDF6-608D-11E9-9333-8535E6697425"},{"first_name":"Anna","full_name":"Romanov, Anna","last_name":"Romanov"}],"title":"Contravariant forms on Whittaker modules","citation":{"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.","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","short":"A. Brown, A. Romanov, Proceedings of the American Mathematical Society 149 (2021) 37–52.","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.","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.","ista":"Brown A, Romanov A. 2021. Contravariant forms on Whittaker modules. Proceedings of the American Mathematical Society. 149(1), 37–52."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8"},{"volume":274,"issue":"2","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["00220396"],"eissn":["10902732"]},"intvolume":" 274","month":"02","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2004.02618"}],"scopus_import":"1","oa_version":"Preprint","abstract":[{"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.","lang":"eng"}],"department":[{"_id":"JuFi"}],"date_updated":"2023-08-04T11:12:16Z","status":"public","type":"journal_article","article_type":"original","_id":"8792","date_created":"2020-11-22T23:01:26Z","date_published":"2021-02-15T00:00:00Z","doi":"10.1016/j.jde.2020.10.030","page":"924-970","publication":"Journal of Differential Equations","day":"15","year":"2021","isi":1,"oa":1,"quality_controlled":"1","publisher":"Elsevier","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).","title":"On a non-isothermal Cahn-Hilliard model based on a microforce balance","article_processing_charge":"No","external_id":{"isi":["000600845300023"],"arxiv":["2004.02618"]},"author":[{"last_name":"Marveggio","full_name":"Marveggio, Alice","id":"25647992-AA84-11E9-9D75-8427E6697425","first_name":"Alice"},{"first_name":"Giulio","full_name":"Schimperna, Giulio","last_name":"Schimperna"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"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.","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.","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","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","short":"A. Marveggio, G. Schimperna, Journal of Differential Equations 274 (2021) 924–970.","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."}}]