ENGLISH

Topics in probability and Lie groups: boundary theory

By Taylor J.C.

Book information

Publisher
AMS
Year
2001
ISBN
0-8218-0275-5
ISSN
1065-8580
Language
english
Format
DJVU
Filesize
6 MB (5987930 bytes)
Series
CRM proceedings & lecture notes
Volume
28
Pages
209\210
DPI
600
Orientation
no
Scanned
portrait
Time added
2012-11-03 02:54:34

Description

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.

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