CLT for Random Walks of Commuting Endomorphisms on Compact Abelian Groups
نویسندگان
چکیده
منابع مشابه
CLT for random walks of commuting endomorphisms on compact abelian groups
Let S be an abelian group of automorphisms of a probability space (X,A, μ) with a finite system of generators (A1, ..., Ad). Let A l denote A1 1 ...A ld d , for l = (l1, ..., ld). If (Zk) is a random walk on Z , one can study the asymptotic distribution of the sums ∑n−1 k=0 f ◦AZk(ω) and ∑ l∈Z P(Zn = l)A f , for a function f on X . In particular, given a random walk on commuting matrices in SL(...
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ژورنال
عنوان ژورنال: Journal of Theoretical Probability
سال: 2015
ISSN: 0894-9840,1572-9230
DOI: 10.1007/s10959-015-0631-y