Stefano Almi, Claudio D'Eramo, Marco Morandotti, Francesco Solombrino
{"title":"Mean-Field Limits for Entropic Multi-Population Dynamical Systems.","authors":"Stefano Almi, Claudio D'Eramo, Marco Morandotti, Francesco Solombrino","doi":"10.1007/s00032-022-00375-w","DOIUrl":"https://doi.org/10.1007/s00032-022-00375-w","url":null,"abstract":"<p><p>The well-posedness of a multi-population dynamical system with an entropy regularization and its convergence to a suitable mean-field approximation are proved, under a general set of assumptions. Under further assumptions on the evolution of the labels, the case of different time scales between the agents' locations and labels dynamics is considered. The limit system couples a mean-field-type evolution in the space of positions and an instantaneous optimization of the payoff functional in the space of labels.</p>","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":"91 1","pages":"175-212"},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10156827/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9435505","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
O. Debarre, D. Huybrechts, Emanuele Macrì, C. Voisin, F. Tomarelli, P. Stellari
{"title":"Topics in Hyper-Kähler Geometry","authors":"O. Debarre, D. Huybrechts, Emanuele Macrì, C. Voisin, F. Tomarelli, P. Stellari","doi":"10.1007/s00032-022-00371-0","DOIUrl":"https://doi.org/10.1007/s00032-022-00371-0","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":"90 1","pages":"303 - 304"},"PeriodicalIF":1.7,"publicationDate":"2022-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44167692","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the Hodge and Betti Numbers of Hyper-Kähler Manifolds","authors":"Pietro Beri, O. Debarre","doi":"10.1007/s00032-022-00367-w","DOIUrl":"https://doi.org/10.1007/s00032-022-00367-w","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":"90 1","pages":"417 - 431"},"PeriodicalIF":1.7,"publicationDate":"2022-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42149951","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
D. Arcoya, José Carmona, Pedro J. Martínez-Aparicio
{"title":"Multiplicity of Solutions for an Elliptic Kirchhoff Equation","authors":"D. Arcoya, José Carmona, Pedro J. Martínez-Aparicio","doi":"10.1007/s00032-022-00365-y","DOIUrl":"https://doi.org/10.1007/s00032-022-00365-y","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":"90 1","pages":"679-689"},"PeriodicalIF":1.7,"publicationDate":"2022-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47276839","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The LLV Decomposition of Hyperkähler Cohomology and Applications to the Nagai Conjecture (After Green–Kim–Laza–Robles)","authors":"G. Oberdieck, Jieao Song","doi":"10.1007/s00032-022-00362-1","DOIUrl":"https://doi.org/10.1007/s00032-022-00362-1","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":"90 1","pages":"485 - 501"},"PeriodicalIF":1.7,"publicationDate":"2022-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44052091","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Stable and Historic Behavior in Replicator Equations Generated by Similar-Order Preserving Mappings","authors":"M. Saburov","doi":"10.1007/s00032-022-00376-9","DOIUrl":"https://doi.org/10.1007/s00032-022-00376-9","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":"91 1","pages":"31 - 46"},"PeriodicalIF":1.7,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41717757","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Positive Solutions for a Class of Fractional Choquard Equation in Exterior Domain","authors":"C. Ledesma, O. Miyagaki","doi":"10.1007/s00032-022-00361-2","DOIUrl":"https://doi.org/10.1007/s00032-022-00361-2","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":"90 1","pages":"519 - 554"},"PeriodicalIF":1.7,"publicationDate":"2022-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47542548","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
D. Drozdenko, M. Knapek, M. Kružík, Kristián Máthis, Karel Svadlenka, J. Valdman
{"title":"Elastoplastic Deformations of Layered Structures","authors":"D. Drozdenko, M. Knapek, M. Kružík, Kristián Máthis, Karel Svadlenka, J. Valdman","doi":"10.1007/s00032-022-00368-9","DOIUrl":"https://doi.org/10.1007/s00032-022-00368-9","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":"90 1","pages":"691-706"},"PeriodicalIF":1.7,"publicationDate":"2022-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42152420","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}