Large time unimodality for classical and free Brownian motions with initial distributions


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ALEA Lat. Am. J. Probab. Math. Stat. 15_353-374.pdf

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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/75969

Title:	Large time unimodality for classical and free Brownian motions with initial distributions
Authors:	Hasebe, Takahiro Browse this author →KAKEN DB
Authors:	Ueda, Yuki Browse this author
Issue Date:	2018
Journal Title:	ALEA : Latin American Journal of Probability and Mathematical Statistics
Volume:	15
Start Page:	353
End Page:	374
Publisher DOI:	10.30757/ALEA.v15-15
Abstract:	We prove that classical and free Brownian motions with initial distri- butions are unimodal for sufficiently large time, under some assumption on the initial distributions. The assumption is almost optimal in some sense. Similar re- sults are shown for a symmetric stable process with index 1 and a positive stable process with index 1/2. We also prove that free Brownian motion with initial sym- metric unimodal distribution is unimodal, and discuss strong unimodality for free convolution.
Type:	article
URI:	http://hdl.handle.net/2115/75969
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 長谷部高広

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