Kac's Program in Kinetic Theory

101 pages. This preprint supersedes hal-00447988 / arXiv:1001.2994. It entirely includes these previous results and contains new results (relaxation rates independent of the number of particles, propagation of entropic chaos, comparison with approaches based on the BBGKY hierarchy) and some additional explanations and historical notes. This revised version corrects many typos and improves the presentation.

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Kac's Program in Kinetic TheoryHTML
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Field	Value
Source	ISSN: 0020-9910
Author	Mischler, Stéphane, Mouhot, Clément
Maintainer	CCSD
Last Updated	November 4, 2026, 20:27 (UTC)
Created	November 4, 2026, 20:27 (UTC)
Identifier	hal-00608971
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	2013-11-04T00:00:00
harvest_object_id	d6776739-be68-4ac5-840a-778f61df6b9e
harvest_source_id	3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title	test moissonnage SELUNE
metadata_modified	2025-12-29T00:00:00
relation	info:eu-repo/semantics/altIdentifier/arxiv/1107.3251
set_spec	type:ART