Topics in Probability and Lie Groups: Boundary Theory (Crm Proceedings and Lecture Notes,...
by J. C. Taylor
Sales Rank: 5796198
List Price: $62.00 $62.00At Amazon on 12-6-2008
Paperback: 202 pages
Publisher: American Mathematical Society June 2001
Language: English
ISBN-10: 0821802755
ISBN-13: 978-0821802755
Product Dimensions:
10 x 7 x 0.5 inches
Shipping Weight: 14.4 ounces
Product Description
This volume is comprised of two parts: the first contains articles by S. N. Evans, F. Ledrappier, and Figa-Talomanaca. These articles arose from a Centre de Recherches de Mathematiques (CRM) seminar entitled, '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 Figa-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.
Topics in Probability and Lie Groups: Boundary Theory (Crm Proceedings and Lecture Notes,...
Available from Amazon Price: $62.00 Updated on 12-6-2008
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