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On monotone convolution and monotone infinite divisivility (1002.3430v2)
Published 18 Feb 2010 in math.OA and math.PR
Abstract: This article focuses on properties of monotone convolutions. A criterion for infinite divisibility and time evolution of convolution semigroups are mainly studied. In particular, we clarify that many analogues of the classical results of L\'{e}vy processes hold such as characterizations of subordinators and strictly stable distributions.
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