Random Walks and Geometry [EBook] : Proceedings of a Workshop at the Erwin Schrödinger Institute, Vienna, June 18  July 13, 2001.
Random Walks and Geometry [EBook] : Proceedings of a Workshop at the Erwin Schrödinger Institute, Vienna, June 18  July 13, 2001.
Main 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 se...
Personal Name(s):  Kaimanovich, Vadim A. 

Schmidt, Klaus / Woess, Wolfgang  
Imprint: 
Berlin :
De Gruyter

Physical Description: 
1 online resource (X, 532 S.) 
Note: 
französisch 
ISBN: 
9783110198089 9783110172379 
Series Title: 
De Gruyter Proceedings in Mathematics

Full Text 
Main 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 nontrivial 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. Main description: Die jüngsten Entwicklungen zeigen, dass sich Wahrscheinlichkeitsverfahren zu einem sehr wirkungsvollen Werkzeug entwickelt haben, und das auf so unterschiedlichen Gebieten wie statistische Physik, dynamische Systeme, Riemann'sche Geometrie, Gruppentheorie, harmonische Analyse, Graphentheorie und Informatik. 