Gromov双曲空间上群作用中随机游动漂移的正则性
动力系统
2022-04-19 v4
摘要
本文证明了在Gromov双曲空间上通过等距作用群的随机游动漂移的连续性及大偏差的存在性。在此过程中,我们改进了Karlsson与Gouëzel针对此类空间的乘积遍历定理。该工作超越了已有文献的认知,允许空间不必为proper(恰当)空间。
关键词
引用
@article{arxiv.2109.13060,
title = {Regularity of the drift for random walks in groups acting on Gromov hyperbolic spaces},
author = {Luís Miguel Sampaio},
journal= {arXiv preprint arXiv:2109.13060},
year = {2022}
}
备注
34 pages, 0 figures, V1 -> V3 Correction of an error concerning the type of Groups considered. Also fixed some typos. V3 -> V3 Improvements and clarifications regarding Theorem 4