SEMI-CLASSICAL ANALYSIS OF A RANDOM WALK ON A MANIFOLD

• 成果类型: Article
• 署名作者: Lebeau, Gilles; Michel, Laurent
• 署名单位: Universite Cote d'Azur
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/09-AOP483
• 发表日期: 2010
• 页码: 277-315
• 关键词: metropolis algorithm

摘要

We prove a sharp rate of convergence to stationarity for a natural random walk on a compact Riemannian manifold (M, g). The proof includes a detailed study of the spectral theory of the associated operator.