Trees

Workshop in Versailles, June 14–16 1995
1996
ISBN: 978-3-7643-5453-4
Verlag: Springer

Buch, Englisch, Französisch, Band 40, 158 Seiten, Book, Gewicht: 430 g

Reihe: Progress in Probability

For the first time, the very different aspects of trees are presented here in one volume. Articles by specialists working in different areas of mathematics cover disordered systems, algorithms, probability, and p-adic analysis. Researchers and graduate students alike will benefit from the clear expositions.

Zielgruppe

Research

Autoren/Hrsg.

Chauvin, Brigitte

Cohen, Serge

Rouault, Alain

Inhaltsverzeichnis

Editors’ Preface.- 1. Disordered systems.- Extremality of the disordered state for the Ising model on general trees.- Trees in the time-scale domain.- Random measures on trees and thermodynamic formalism.- 2. Probability and trees.- Branching random walk: Seneta-Heyde norming.- The growth of an entire charasteristic function and the tail probabilities of the limit of a tree martingale.- Probabilistic aspects of infinite trees and some applications.- Functional limit theorems for the simple random walk on a supercritical Galton-Watson tree.- 3. Ultrametric and algebraic aspects of trees.- Groupes d’automorphismes et frontières d’arbres: le cas homogène.- Trees and non-archimedean topologies.- 4. Large deviations.- Arbres et grandes déviations.- Large deviation principle for random fields on a binary tree.- List of Participants.