Some Results Concerning Convergence of Convolution Products of Probability Measures on Discrete Semigroups |
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Authors: | Greg Budzban Imre Ruzsa |
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Affiliation: | (1) Department of Mathematics, Southern Illinois University, Carbondale, Illinois, 62901-4408;(2) Mathematical Institute of the Hungarian Academy of Sciences, Budapest, Hungary |
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Abstract: | Two types of conditions have been significant when considering the convergence of convolution products of nonidentical probability measures on groups and semigroups. The essential points of a sequence of measures have been useful in characterizing the supports of the limit measures. Also, enough mass eventually on an idempotent has proven sufficient for convergence in a number of structures. In this paper, both of these types of conditions are analyzed in the context of discrete non-abelian semigroups. In addition, an application to the convergence of nonhomogeneous Markov chains is given. |
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Keywords: | Convolution products nonidentical probability measures discrete semigroups nonhomogeneous Markov chains |
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