CRM Proceedings & Lecture Notes
Volume: 28; 2001; 202 pp; Softcover
MSC: Primary 60; Secondary 31; 22
Print ISBN: 978-0-8218-0275-5
Product Code: CRMP/28
List Price: $72.00
Individual Member Price: $57.60
Topics in Probability and Lie Groups: Boundary TheoryShare this page
Edited by J. C. Taylor
A co-publication of the AMS and Centre de Recherches Mathématiques
This volume is comprised of two parts: the first contains articles by
S. N. Evans, F. Ledrappier, and Figà-Talomanaca. These articles arose from a
Centre de Recherches de Mathématiques (CRM) seminar entitiled, “Topics in
Probability on Lie Groups: Boundary Theory”.
Evans gives a synthesis of his pre-1992 work on Gaussian measures on vector spaces over a local field. Ledrappier uses the freegroup on \(d\) generators as a paradigm for results on the asymptotic properties of random walks and harmonic measures on the Martin boundary. These articles are followed by a case study by Figà-Talamanca using Gelfand pairs to study a diffusion on a compact ultrametric space.
The second part of the book is an appendix to the book Compactifications of Symmetric Spaces (Birkhauser) by Y. Guivarc'h and J. C. Taylor. This appendix consists of an article by each author and presents the contents of this book in a more algebraic way. L. Ji and J.-P. Anker simplifies some of their results on the asymptotics of the Green function that were used to compute Martin boundaries. And Taylor gives a self-contained account of Martin boundary theory for manifolds using the theory of second order strictly elliptic partial differential operators.
Titles in this series are co-published with the Centre de Recherches Mathématiques.
Table of Contents
Table of Contents
Topics in Probability and Lie Groups: Boundary Theory
Graduate students and research mathematicians interested in probability theory and stochastic processes.