Random Walks and Geometry

Proceedings of a Workshop at the Erwin Schrödinger Institute, Vienna, June 18 - July 13, 2001
1. Auflage 2004
ISBN: 978-3-11-017237-9
Verlag: De Gruyter

Buch, Englisch, Französisch, 532 Seiten, HC runder Rücken kaschiert, Format (B × H): 175 mm x 246 mm, Gewicht: 1091 g

Reihe: ISSN

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.

Zielgruppe

Research Mathematicians and Graduate Students, Academic Libraries

Autoren/Hrsg.

Kaimanovich, Vadim

Weitere Mitwirkende

Schmidt, Klaus

Woess, Wolfgang

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Mathematik | Informatik Mathematik Stochastik

Inhaltsverzeichnis

Frontmatter
Table of contents
Surveys and longer articles
Some Markov chains on abelian groups with applications
Random walks and physical models on infinite graphs: an introduction
The Garden of Eden Theorem for cellular automata and for symbolic dynamical systems
Expander graphs, random matrices and quantum chaos
The Ihara zeta function of infinite graphs, the KNS spectral measure and integrable maps
Simplicité de spectres de Lyapounov et propriété d’isolation spectrale pour une famille d’opérateurs de transfert sur l’espace projectif
An introduction to the Stochastic Loewner Evolution
A canonical form for automorphisms of totally disconnected locally compact groups
Research communications
On the classification of invariant measures for horosphere foliations on nilpotent covers of negatively curved manifolds
Markov processes on vermiculated spaces
Cactus trees and lower bounds on the spectral radius of vertex-transitive graphs
Equilibrium measure, Poisson kernel and effective resistance on networks
Internal diffusion limited aggregation on discrete groups of polynomial growth
On the physical relevance of random walks: an example of random walks on a randomly oriented lattice
Random walks, entropy and hopfianity of free groups
Growth rates of small cancellation groups
Recurrence properties of random walks on finite volume homogeneous manifolds
On the cohomology of foliations with amenable groupoid
Linear rate of escape and convergence in direction
Remarks on harmonic functions on affine buildings
Random walks, spectral radii, and Ramanujan graphs
Cogrowth of arbitrary graphs
Total variation lower bounds for finite Markov chains: Wilson’s lemma
Backmatter