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UID:20250725T180831EDT-3924jPdWsv@132.216.98.100
DTSTAMP:20250725T220831Z
DESCRIPTION:Virtual Informal Systems Seminar (VISS) Centre for Intelligent 
 Machines (CIM) and Groupe d'Etudes et de Recherche en Analyse des Decision
 s (GERAD)\n\n\n	\n		Zoom Link\n			Meeting ID: 910 7928 6959       \n			Passcode: VI
 SS\n	\n\n	\n		Speaker: Nathalie Ayi\, Assistant Professor\, Jacques Louis Lion
 s laboratory\,  Sorbonne University (Paris).\n\n		\n			Abstract: In this work\,
  we study a model for opinion dynamics where the influence weights of agen
 ts evolve in time via an equation which is coupled with the opinions' evol
 ution. We explore the natural question of the large population limit with 
 two approaches: the now classical mean-field limit and the more recent gra
 ph limit. After establishing the existence and uniqueness of solutions to 
 the models that we will consider\, we provide a rigorous mathematical just
 ification for taking the graph limit in a general context. Then\, establis
 hing the key notion of indistinguishability\, which is a necessary framewo
 rk to consider the mean-field limit\, we prove the subordination of the me
 an-field limit to the graph one in that context. This actually provides an
  alternative (but weaker) proof for the mean-field limit. We conclude by s
 howing some numerical simulations to illustrate our results.\n			\n			Bio: Natha
 lie Ayi is an Assistant Professor at the Jacques Louis Lions laboratory at
  Sorbonne University (Paris). Before joining this laboratory\, she was a p
 ost-doctoral fellow in the IPSO INRIA team at Rennes. She received her PhD
  degree in Mathematics from the University of Nice Sophia-Antipolis in 201
 6. Her field of research is partial differential equations with a specific
  interest in kinetic theory and the study of scaling limits.\n	\n\n
DTSTART:20210409T140000Z
DTEND:20210409T140000Z
LOCATION:CA\, ZOOM
SUMMARY:Mean-field and Graph Limits for Collective Dynamics Models with Tim
 e-varying Weights
URL:/cim/channels/event/mean-field-and-graph-limits-co
 llective-dynamics-models-time-varying-weights-329646
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