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arXiv · 1002.3430

On monotone convolution and monotone infinite divisivility

Takahiro Hasebe
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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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Takahiro Hasebe. 2010-02-18. On monotone convolution and monotone infinite divisivility. https://arxiv.org/abs/1002.3430

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