Laws of large numbers for polynomial hypergroups and some applications |
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Authors: | Michael Voit |
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Affiliation: | (1) Institut für Mathematik, Technische Universität München, Arcisstrasse 21, D-8000 München 2, Federal Republic of Germany |
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Abstract: | There are introduced moments on polynomial hypergroups. These moments are used to prove strong laws of large number (SSLLNs) for random walks on the nonnegative integers that are homogeneous with respect to a polynomial hypergroup where SLLNs of different kind appear for polynomial hypergroups thth different properties. Furthermore, we discuss polynomial hypergroups that are associated with some discrete semigroups in a canonical way, and, using SLLNs for polynomial hypergroups, we get SLLNs for isotropic random walks on some discrete semigroups. |
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Keywords: | Polynomial hypergroups moments strong laws of large numbers isotropic random walks on semigroups |
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