Format:
1 online resource (xv, 698 pages)
ISBN:
9781107160156
,
9781316672815
Series Statement:
Cambridge series on statistical and probabilistic mathematics 42
Content:
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
Note:
Title from publisher's bibliographic system (viewed on 31 Jan 2017)
Additional Edition:
Erscheint auch als Druck-Ausgabe Lyons, Russell Probability on trees and networks New York, NY : Cambridge University Press, 2016 ISBN 9781107160156
Language:
English
Subjects:
Mathematics
Keywords:
Wahrscheinlichkeitstheorie
;
Baum
;
Netzwerk
;
Graphentheorie
DOI:
10.1017/9781316672815
URL:
Volltext
(URL des Erstveröffentlichers)
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