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Asymptotics and spectral results for random walks on p-adics

✍ Scribed by Sergio Albeverio; Witold Karwowski; Xuelei Zhao


Book ID
108433032
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
162 KB
Volume
83
Category
Article
ISSN
0304-4149

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Limit theorems for radial random walks o
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For a fixed probability measure Ξ½ ∈ M 1 ([0, ∞[) and any dimension p ∈ N there is a unique radial probability measure Ξ½p ∈ M 1 (R p ) with Ξ½ as its radial part. In this paper we study the limit behavior of S p n 2 for the associated radial random walks (Sn ) n β‰₯0 on R p whenever n, p tend to ∞ in so