Random Walks and Geometry

ISBN 10: 3110172372 / ISBN 13: 9783110172379

Published by Walter de Gruyter, Incorporated, 2004

About this Item

pp. x + 532.

Seller Inventory # 2651785250

Bibliographic Details

• Title: Random Walks and Geometry
• Publisher: Walter de Gruyter, Incorporated
• Publication Date: 2004
• Language: English
• ISBN 10: 3110172372
• ISBN 13: 9783110172379
• Binding: Hardcover
• Condition: New

About this title

Synopsis

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.