Probability on trees and networks / Russell Lyons, Yuval Peres
Type de document : MonographieCollection : Cambridge series in statistical and probabilistic mathematics, 42Langue : anglais.Pays: Etats Unis.Éditeur : New York : Cambridge University Press, 2016Description : 1 vol. (XV-699 p.) : ill. en noir et en coul., couv. ill. en coul. ; 27 cmISBN: 9781107160156.Bibliographie : Bibliogr. p. 648-686. Index.Sujet MSC : 60C05, Probability theory and stochastic processes, Combinatorial probability05C05, Combinatorics - Graph theory, Trees
05C80, Combinatorics - Graph theory, Random graphs
60J50, Probability theory and stochastic processes, Boundary theory for Markov processes
05C82, Combinatorics - Graph theory, Small world graphs, complex networksEn-ligne : MSN | zbMath
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
Monographie
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CMI Salle 1 | 60 LYO (Browse shelf(Opens below)) | Available | 12409-01 |
Publisher’s description: 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.
Bibliogr. p. 648-686. Index
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