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Probability on Trees and Networks

Probability on Trees and Networks by Russell Lyons
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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.
Cambridge University Press; January 2017
ISBN 9781316784372
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Title: Probability on Trees and Networks
Author: Russell Lyons; Yuval Peres
 
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ISBNs
9781107160156
9781316784372
9781316786611