ON CONCENTRATION FUNCTIONS ON DISCRETE-GROUPS

成果类型:
Article
署名作者:
BARTOSZEK, W
刊物名称:
ANNALS OF PROBABILITY
ISSN/ISSBN:
0091-1798
DOI:
10.1214/aop/1176988614
发表日期:
1994
页码:
1596-1599
关键词:
摘要:
Let (xi n)(n greater than or equal to 0) be a random walk on a countable group G. Sufficient and necessary conditions for the existence of a finite set A subset of or equal to G and a sequence g(n) is an element of G such that for all natural n we have P(xi(n) is an element of A/xi(0) = g(n)) = 1 are presented. This provides a complete solution to the problem of behavior of concentration functions on discrete groups.
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