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Probability on trees and networks[el...

Lyons, Russell.

Probability on trees and networks[electronic resource] /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	511.52
書名/作者:	Probability on trees and networks/ Russell Lyons, Yuval Peres.
作者:	Lyons, Russell.
其他作者:	Peres, Yuval.
出版者:	New York : : Cambridge University Press,, 2016.
面頁冊數:	xv, 698 p. : : ill., digital ;; 24 cm.
標題:	Stochastic processes.
標題:	Trees (Graph theory)
ISBN:	9781316672815
ISBN:	9781107160156
摘要、提要註:	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.
電子資源:	https://doi.org/10.1017/9781316672815

Probability on trees and networks[electronic resource] /
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 ;36..

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: 9781316672815Subjects--Topical Terms:

177592
Stochastic processes.

LC Class. No.: QA274 / .L956 2016

Dewey Class. No.: 511.52

Probability on trees and networks[electronic resource] /
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100 1 $a Lyons, Russell. $3 711655
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 177592
650 0 $a Trees (Graph theory) $3 602417
700 1 $a Peres, Yuval. $3 711656
830 0 $a Cambridge series on statistical and probabilistic mathematics ; $v 36. $3 641507
856 4 0 $u https://doi.org/10.1017/9781316672815

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