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Probability on trees and networks

Lyons, Russell.

Probability on trees and networks

Record Type:	Electronic resources : Monograph/item
Title/Author:	Probability on trees and networksRussell Lyons, Yuval Peres.
Author:	Lyons, Russell.
other author:	Peres, Yuval.
Published:	New York :Cambridge University Press,2016.
Description:	xv, 698 p. :ill., digital ;24 cm.
Subject:	Stochastic processes.
Online resource:	https://doi.org/10.1017/9781316672815
ISBN:	9781316672815$q(electronic bk.)

Probability on trees and networks
Lyons, Russell.

Probability on trees and networks[electronic resource] /Russell Lyons, Yuval Peres. - New York :Cambridge University Press,2016. - xv, 698 p. :ill., digital ;24 cm. - Cambridge series in statistical and probabilistic mathematics ;42. - Cambridge series on statistical and probabilistic mathematics ;14..

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.

ISBN: 9781316672815$q(electronic bk.)Subjects--Topical Terms:

181874
Stochastic processes.

LC Class. No.: QA274 / .L956 2016

Dewey Class. No.: 511.52

Probability on trees and networks
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100 1 $a Lyons, Russell. $3 840440
245 1 0 $a Probability on trees and networks $h [electronic resource] / $c Russell Lyons, Yuval Peres.
260 $a New York : $b Cambridge University Press, $c 2016.
300 $a xv, 698 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge series in statistical and probabilistic mathematics ; $v 42
520 $a 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.
650 0 $a Stochastic processes. $3 181874
650 0 $a Trees (Graph theory) $3 185778
700 1 $a Peres, Yuval. $3 840441
830 0 $a Cambridge series on statistical and probabilistic mathematics ; $v 14. $3 453319
856 4 0 $u https://doi.org/10.1017/9781316672815