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On recurrent random walks on abelian semigroups

Author: Göran Högnäs
Journal: Proc. Amer. Math. Soc. 75 (1979), 111-113
MSC: Primary 60J15; Secondary 60B15
MathSciNet review: 529225
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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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