Spectral gap for Kac's model of Boltzmann equation
成果类型：
Article
署名作者：
Janvresse, E
署名单位：
Universite de Rouen Normandie
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/aop/1008956330
发表日期：
2001
页码：
288-304
关键词：
摘要：
We consider a random walk on Sn-1, the standard sphere of dimension n -1, generated by random rotations on randomly selected coordinate planes i, j with 1 less than or equal to i < j less than or equal to n. This dynamic was used by Marc Kac as a model for the spatially homogeneous Boltzmann equation. We prove that the spectral gap on Sn-1 is n(-1) up to a constant independent of n.
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