流形上随机游走的半经典分析
谱理论
2010-02-02 v4 概率论
摘要
我们证明了紧黎曼流形 上一种自然随机游走收敛到平稳分布的尖锐速率。证明包括对相关算子谱理论的详细研究。
引用
@article{arxiv.0802.0644,
title = {Semi-classical analysis of a random walk on a manifold},
author = {Gilles Lebeau and Laurent Michel},
journal= {arXiv preprint arXiv:0802.0644},
year = {2010}
}
备注
Published in at http://dx.doi.org/10.1214/09-AOP483 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)