On recurrent random walks on abelian semigroups

Högnäs, Göran

doi:10.1090/S0002-9939-1979-0529225-0

On recurrent random walks on abelian semigroups
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by Göran Högnäs PDF

Proc. Amer. Math. Soc. 75 (1979), 111-113 Request permission

Abstract:

We consider a random walk ${Z_n}$ on the locally compact second countable abelian semigroup S with unit e which is assumed to be a recurrent point for ${Z_n}$. Then S is the disjoint union of a topologically simple abelian semigroup G and a null-set A of first category. Under some additional conditions G is a topological group.

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