文章基本信息

标题：Analytic-geometric methods for finite Markov chains with applications to quasi-stationarity
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作者：Persi Diaconis ; Kelsey Houston-Edwards ; Laurent Saloff-Coste 等
期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2020
卷号：17
期号：2
页码：901
DOI：10.30757/ALEA.v17-35
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：For a relatively large class of well-behaved absorbing (or killed) finite Markov chains, we give detailed quantitative estimates regarding the behavior of the chain before it is absorbed (or killed). Typical examples are random walks on boxlike finite subsets of the square lattice Z d absorbed (or killed) at the boundary. The analysis is based on Poincaré, Nash, and Harnack inequalities, moderate growth, and on the notions of John and inner-uniform domains.
其他关键词：Markov Chains, Harnack Inequality, inner-uniform domains.