Kac's chaos and Kac's program

In this note I present the main results about the quantitative and qualitative propagation of chaos for the Boltzmann-Kac system obtained in collaboration with C.~Mouhot in \cite{MMinvent} which gives a possible answer to some questions formulated by Kac in \cite{Kac1956}. We also present some related recent results about Kac's chaos and Kac's program obtained in \cite{MMWchaos,HaurayMischler,KleberSphere} by K.~Carrapatoso, M. Hauray, C. Mouhot, B. Wennberg and myself.

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Source https://hal.science/hal-00911426
Author Mischler, Stéphane
Maintainer CCSD
Last Updated May 5, 2026, 19:31 (UTC)
Created May 5, 2026, 19:31 (UTC)
Identifier hal-00911426
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor CEntre de REcherches en MAthématiques de la DEcision (CEREMADE) ; Université Paris Dauphine-PSL ; Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)
creator Mischler, Stéphane
date 2013-11-29T00:00:00
harvest_object_id 83b6b0f0-462d-49a7-b0cf-780ea8c901fb
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-06-13T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1311.7544
set_spec type:UNDEFINED