Random walks in compact groups
Random walks in compact groups
复制标题
紧凑群体中的随机游走
DOI：
10.4171/dm/423
复制
发表时间：
2012
影响因子：
0.9
通讯作者：
P. Varjú
中科院分区：
文献类型：
--
作者：
P. Varjú
设X_1，X_2，.是紧群G的独立同分布随机元。本文讨论了乘积X_l*…* 律的收敛速度X_1为Haar测度。我们给出了某些有限群和紧半单李群的多对数估计。我们改进了Solovay，Kitaev，Gamburd，Shahshahani和Dinai的早期结果.
Let X_1,X_2,... be independent identically distributed random elements of a compact group G. We discuss the speed of convergence of the law of the product X_l*...*X_1 to the Haar measure. We give poly-log estimates for certain finite groups and for compact semi-simple Lie groups. We improve earlier results of Solovay, Kitaev, Gamburd, Shahshahani and Dinai.