Eitan Tadmor
Emerging Behavior in Collective Dynamics
Eitan Tadmor (University of Maryland), laureate of the FSMP Chair of Excellence in 2023, gave a doctoral-level course entitled Emerging Behavior in Collective Dynamic from February 7 to March 27, 2024 at the Henri Poincaré Institute (11 rue Pierre et Marie Curie).
Abstract
Nature and human societies offer many examples of self-organized behavior: ants form colonies, birds flock, mobile networks synchronize, and consensus may emerge from interaction of diverse human opinions. These are simple examples of collective dynamic in which small scale interactions of so-called active particles, lead to emergence of high-order, larger-scale patterns. These lectures will survey recent mathematical developments in collective dynamics, starting with the influential works of Reynolds, Krause, Vicsek and Cucker & Smale. The dynamics is governed by different protocols of pairwise interactions. Collisions are avoided. There is a hierarchy of three levels of descriptions: agent-based description of swarm dynamics on a graph, a Vlasov-type kinetic description, and large-crowd hydrodynamic description. A main question of interest is how different classes of interaction kernels affect the large-time, large-crowd, non-equilibrium dynamics, leading to the emergence of different large-scale patterns.
About the teacher
Autres cours
Xiaoming Yuan, Professor at the University of Hong Kong, laureate in 2026 of a FSMP chair of excellence co-financed by CEREMADE (Université Paris Dauphine-PSL, CNRS), welcome at LJLL and CEREMADE in the frame of his chair, will give a course entitled Advanced Topics in OptimizATion at Institut Henri Poincaré (11, rue Pierre et Marie Curie, 75005 Paris) from Monday October 19th to Thursday December 17th 2026. The lectures will take place from 2 p.m. to 5:15 p.m.
Lieb–Thirring inequalities are bounds on the eigenvalues of Schrödinger operators. Rupert Frank will discuss several topics related to these inequalities at the intersection of functional analysis, microlocal analysis and spectral theory.
Martin J. Gander, professor at the University of Geneva and winner of the FSMP Chair in 2022, gives a mini-course entitled Time Parallel, time integration, which will be held over four sessions at theInstitut Henri Poincaré (11 rue Pierre et Marie Curie 75005 Paris). He will be assisted by Thibaut Lunet (Technische Universität Hamburg).