Limit search to available items
Book Cover
E-book
Author Lyons, Russell, author

Title Probability on Trees and Networks / Russell Lyons, Yuval Peres
Published Cambridge : Cambridge University Press, 2017

Copies

Description 1 online resource
Series Cambridge Series in Statistical and Probabilistic Mathematics ; 42
Cambridge series on statistical and probabilistic mathematics ; 42.
Summary Starting around the late 1950s, several research communities began relating the geometry of graphs to stochastic processes on these graphs. This book, twenty years in the making, ties together research in the field, encompassing work on percolation, isoperimetric inequalities, eigenvalues, transition probabilities, and random walks. Written by two leading researchers, the text emphasizes intuition, while giving complete proofs and more than 850 exercises. Many recent developments, in which the authors have played a leading role, are discussed, including percolation on trees and Cayley graphs, uniform spanning forests, the mass-transport technique, and connections on random walks on graphs to embedding in Hilbert space. This state-of-the-art account of probability on networks will be indispensable for graduate students and researchers alike
Notes Title from publisher's bibliographic system (viewed on 31 Jan 2017)
Subject Stochastic processes.
Trees (Graph theory)
Stochastic Processes
Procesos estocásticos
Árboles (Grafos)
Stochastic processes
Trees (Graph theory)
Form Electronic book
Author Peres, Yuval, author
ISBN 9781316672815
1316672816
Other Titles Probability on Trees & Networks