Commutation relations and Markov chains

被引：12
作者：
Fulman, Jason [1 ]
机构：
[1] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA
来源：
PROBABILITY THEORY AND RELATED FIELDS | 2009年 / 144卷 / 1-2期
关键词：
Commutation relations; Separation distance; Differential poset; Markov chain; Symmetric function; Ewens distribution; STEINS METHOD; HARMONIC-ANALYSIS; SYMMETRIC GROUP; FINITE-GROUPS; RANDOM-WALKS; TIMES; CONVERGENCE; PARTITIONS; DUALITY; GRAPHS;
D O I：
10.1007/s00440-008-0143-0
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
It is shown that the combinatorics of commutation relations is well suited for analyzing the convergence rate of certain Markov chains. Examples studied include random walk on irreducible representations, a local random walk on partitions whose stationary distribution is the Ewens distribution, and some birth-death chains.
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页码：99 / 136
页数：38
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