ON RANDOM WALKS ON WREATH PRODUCTS
ON RANDOM WALKS ON WREATH PRODUCTS
复制标题
花环产品的随机游走
DOI：
10.1214/aop/1023481013
复制
发表时间：
2002
影响因子：
2.3
通讯作者：
L. Saloff‐Coste
中科院分区：
文献类型：
--
作者：
C. Pittet;L. Saloff‐Coste
花环积是半直积的一种。它们在群论中扮演着重要的角色。本文研究了简单随机游动在这类群体上的基本行为，并表明这些游动具有有趣的、有点奇特的行为。关键的事实是，在花环乘积上返回到某些步行的起点的概率与发生在更简单的因子群上的步行的局部时的某些泛函密切相关。
Wreath products are a type of semidirect product. They play an important role in group theory. This paper studies the basic behavior of simple random walks on such groups and shows that these walks have interesting, somewhat exotic behaviors. The crucial fact is that the probability of return to the starting point of certain walks on wreath products is closely related to some functionals of the local times of a walk taking place on a simpler factor group.