Littelmann paths and brownian paths

Philippe Biane*, Philippe Bougerol, Neil O'Connell

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)

56 Citations (Scopus)

Abstract

We study some path transformations related to Pitman's theorem [28, Th. 1.3] on Brownian motion and the three-dimensional Bessel process. We relate these to the Littelmann path model (see [22]) and give applications to representation theory and to Brownian motion in a Weyl chamber.

Original languageEnglish
Pages (from-to)127-167
Number of pages41
JournalDuke Mathematical Journal
Volume130
Issue number1
DOIs
Publication statusPublished - 1 Oct 2005

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