Unimodality of the freely selfdecomposable probability laws

Takahiro Hasebe; Steen Thorbjørnsen

doi:10.1007/s10959-015-0595-y

Unimodality of the freely selfdecomposable probability laws

Department of Mathematics

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

Abstract

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).

Original language	English
Journal	Journal of Theoretical Probability
Volume	29
Issue	3
Pages (from-to)	922-940
Number of pages	19
ISSN	0894-9840
DOIs	https://doi.org/10.1007/s10959-015-0595-y
Publication status	Published - 2016

Keywords

Free convolution
Free probability
Free selfdecomposability
Unimodality
Yamazato’s theorem

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10.1007/s10959-015-0595-y

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title = "Unimodality of the freely selfdecomposable probability laws",

abstract = "We show that any freely selfdecomposable probability law is unimodal. This is the free probabilistic analog of Yamazato{\textquoteright}s result in (Ann. Probab. 6:523–531, 1978).",

keywords = "Free convolution, Free probability, Free selfdecomposability, Unimodality, Yamazato{\textquoteright}s theorem",

author = "Takahiro Hasebe and Steen Thorbj{\o}rnsen",

year = "2016",

doi = "10.1007/s10959-015-0595-y",

language = "English",

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AU - Thorbjørnsen, Steen

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KW - Free convolution

KW - Free probability

KW - Free selfdecomposability

KW - Unimodality

KW - Yamazato’s theorem

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U2 - 10.1007/s10959-015-0595-y

DO - 10.1007/s10959-015-0595-y

M3 - Journal article

SN - 0894-9840

VL - 29

SP - 922

EP - 940

JO - Journal of Theoretical Probability

JF - Journal of Theoretical Probability

IS - 3

ER -

Unimodality of the freely selfdecomposable probability laws

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Keywords

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