Probability measures on semigroups
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- by Peter Gerl PDF
- Proc. Amer. Math. Soc. 40 (1973), 527-532 Request permission
Abstract:
Let $S$ be a discrete semigroup, $P$ a probability measure on $S$ and $s \in S$ with $\lim {\sup _n}{({P^{(n)}}(s))^{1/n}} = 1$. We study limit theorems for the convolution powers ${P^{(n)}}$ of $P$ implied by the above property and further the class of all semigroups with this property. Theorem 3 relates this class of semigroups to left amenable semigroups.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 40 (1973), 527-532
- MSC: Primary 43A05; Secondary 60B15
- DOI: https://doi.org/10.1090/S0002-9939-1973-0318776-4
- MathSciNet review: 0318776