Unimodality of the Freely Selfdecomposable Probability Laws

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TitreUnimodality of the Freely Selfdecomposable Probability Laws
Type de publicationJournal Article
Year of Publication2016
AuteursHasebe T, Thorbjornsen S
JournalJOURNAL OF THEORETICAL PROBABILITY
Volume29
Pagination922-940
Date PublishedSEP
Type of ArticleArticle
ISSN0894-9840
Mots-clésFree convolution, Free probability, Free selfdecomposability, Unimodality, Yamazato's theorem
Résumé

We show that any freely selfdecomposable probability law is unimodal. This is the free probabilistic analog of Yamazato's result in (Ann. Probab. 6:523-531, 1978).

DOI10.1007/s10959-015-0595-y