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Linear rate of escape and convergence in direction
KTH, Superseded Departments, Mathematics.
2004 (English)In: Random Walks And Geometry / [ed] Kaimanovich, VA, BERLIN 30: WALTER DE GRUYTER & CO , 2004, 459-471 p.Conference paper, Published paper (Refereed)
Abstract [en]

This paper describes some situations when random walks (or related processes) of linear rate of escape converge in direction in various senses. We discuss random walks on isometry groups of fairly general metric spaces, and more specifically, random walks on isometry groups of nonpositive curvature, isometry groups of reflexive Banach spaces, and linear groups preserving a proper cone. We give an alternative proof of the main tool from subadditive ergodic theory and we make a conjecture in this context involving Busemann functions.

Place, publisher, year, edition, pages
BERLIN 30: WALTER DE GRUYTER & CO , 2004. 459-471 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-44732ISI: 000222370600019ISBN: 3-11-017237-2 (print)OAI: oai:DiVA.org:kth-44732DiVA: diva2:451512
Conference
Workshop on Random Walks and Geometry Location: Erwin Schrodinger Inst, Vienna, AUSTRIA Date: JUN 18-JUL 13, 2001
Note
QC 20111026Available from: 2011-10-26 Created: 2011-10-25 Last updated: 2011-11-02Bibliographically approved

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