Kouji Yano
Published 2021-08-28Version 1
This expository paper is intended for a short self-contained introduction to the theory of infinite convolutions of probability measures on Polish semigroups. We give the proofs of the Rees decomposition theorem of completely simple semigroups, the Ellis--\.{Z}elazko theorem, the convolution factorization theorem of convolution idempotents, and the convolution factorization theorem of cluster points of infinite convolutions.
Formulation and properties of a divergence used to compare probability measures without absolute continuity and its application to uncertainty quantification
On spectra of probability measures generated by GLS-expansions
Weak Convergence of Probability Measures
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