Random walks on direct sums of discrete groups (Q1118243)

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scientific article; zbMATH DE number 4094473
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English
Random walks on direct sums of discrete groups
scientific article; zbMATH DE number 4094473

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    Random walks on direct sums of discrete groups (English)
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    1988
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    Let \(G_ 0\) be a discrete group with identity element e and let \(p_ 0\) be a probability on \(G_ 0\). The direct sum G of a countable number of copies of \(G_ 0\) and the probability p on G which is a convex combination of copies of \(p_ 0\) are considered. The author studies the asymptotic behavior of the probability \(p^{*n}(e)\).
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    direct sums of discrete groups
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    asymptotic behavior
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