Exponential decay of entropy in the random transposition and Bernoulli-Laplace models

• 成果类型: Article
• 署名作者: Gao, FQ; Quastel, J
• 署名单位: Hubei University; University of Toronto
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• 发表日期: 2003
• 页码: 1591-1600
• 关键词: logarithmic sobolev inequalities; simple exclusion processes; random-walks; diffusion; time

摘要

We give bounds on the exponential decay rate of entropy in the random transposition model and the Bernoulli-Laplace model which are independent of the number of sites and the number of particles. This is then used to give a bound on the time to stationarity in the total variation norm.