On monotone convolution and monotone infinite divisivility
classification
🧮 math.OA
math.PR
keywords
monotoneconvolutioninfiniteanaloguesarticlecharacterizationsclarifyclassical
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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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