Open Access
VOL. 55 | 2009 From Pitman's theorem to crystals
Chapter Author(s) Philippe Biane
Editor(s) Jean-Pierre Bourguignon, Motoko Kotani, Yoshiaki Maeda, Nobuyuki Tose
Adv. Stud. Pure Math., 2009: 1-13 (2009) DOI: 10.2969/aspm/05510001

Abstract

We describe an extension of Pitman's theorem on Brownian motion and the three dimensional Bessel process to several dimensions. We show how this extension is suggested by considering a random walk on a noncommutative space, and is connected with crystals and Littelmann paths.

Information

Published: 1 January 2009
First available in Project Euclid: 28 November 2018

zbMATH: 1190.46051
MathSciNet: MR2463487

Digital Object Identifier: 10.2969/aspm/05510001

Subjects:
Primary: 46L54
Secondary: 60G15 , 94A17

Rights: Copyright © 2009 Mathematical Society of Japan

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