ENGLISH

Random walks and geometry: Proc. workshop. Vienna, 2001

By Vadim A. Kaimanovich , Klaus Schmidt , Wolfgang Woess

Book information

Publisher
Walter de Gruyter
Year
2004
ISBN
3110172372, 9783110172379
Open Library ID
OL9510967M
Language
english
Format
PDF
Filesize
4 MB (4260505 bytes)
Series
[De Gruyter Proceedings in Mathematics]
Pages
544\544
Library
Kolxo3
Scanned
yes
Time added
2009-07-20 03:45:11
Математика;Теория вероятностей и математическая ст

Description

Recent developments show that probability methods have become a very powerful tool in such different areas as statistical physics, dynamical systems, Riemannian geometry, group theory, harmonic analysis, graph theory and computer science. This volume is an outcome of the special semester 2001 - Random Walks held at the Schrödinger Institute in Vienna, Austria. It contains original research articles with non-trivial new approaches based on applications of random walks and similar processes to Lie groups, geometric flows, physical models on infinite graphs, random number generators, Lyapunov exponents, geometric group theory, spectral theory of graphs and potential theory. Highlights are the first survey of the theory of the stochastic Loewner evolution and its applications to percolation theory (a new rapidly developing and very promising subject at the crossroads of probability, statistical physics and harmonic analysis), surveys on expander graphs, random matrices and quantum chaos, cellular automata and symbolic dynamical systems, and others. The contributors to the volume are the leading experts in the area. The book will provide a valuable source both for active researchers and graduate students in the respective fields.

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