Some Results Concerning Convergence of Convolution Products of Probability Measures on Discrete Semigroups

Greg Budzban and Imre Ruzsa
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Greg Budzban: Southern Illinois University
Imre Ruzsa: Mathematical Institute of the Hungarian Academy of Sciences

Journal of Theoretical Probability, 1997, vol. 10, issue 1, 185-200

Abstract: 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.

Keywords: Convolution products; nonidentical probability measures; discrete semigroups; nonhomogeneous Markov chains (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1023/A:1022602700716

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