Infinite convolutions of probability measures on Polish semigroups

نویسندگان

چکیده

This expository paper is intended for a short self-contained introduction to the theory of infinite convolutions probability measures on Polish semigroups. We give proofs Rees decomposition theorem completely simple semigroups, Ellis–Żelazko theorem, convolution factorization idempotents, and cluster points convolutions.

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ژورنال

عنوان ژورنال: Probability Surveys

سال: 2022

ISSN: ['1549-5787']

DOI: https://doi.org/10.1214/22-ps6