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2019 Continuity and growth of free multiplicative convolution semigroups
Xiaoxue Deng, Ping Zhong
Electron. Commun. Probab. 24: 1-11 (2019). DOI: 10.1214/18-ECP202

Abstract

Let $\mu $ be a compactly supported probability measure on the positive half-line and let $\mu ^{\boxtimes t}$ be the free multiplicative convolution semigroup. We show that the support of $\mu ^{\boxtimes t}$ varies continuously as $t$ changes. We also obtain the asymptotic length of the support of these measures.

Citation

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Xiaoxue Deng. Ping Zhong. "Continuity and growth of free multiplicative convolution semigroups." Electron. Commun. Probab. 24 1 - 11, 2019. https://doi.org/10.1214/18-ECP202

Information

Received: 17 September 2017; Accepted: 17 December 2018; Published: 2019
First available in Project Euclid: 30 January 2019

zbMATH: 1419.46041
MathSciNet: MR3908649
Digital Object Identifier: 10.1214/18-ECP202

Subjects:
Primary: 46L54

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