Articles liés à Random Walks on Infinite Graphs and Groups

Random Walks on Infinite Graphs and Groups - Couverture rigide

Woess, Wolfgang

 
9780521552929: Random Walks on Infinite Graphs and Groups
Couverture rigide
ISBN 10 : 0521552923 ISBN 13 : 9780521552929
Editeur : Cambridge University Press, 2000

Synopsis

The main theme of this book is the interplay between the behaviour of a class of stochastic processes (random walks) and discrete structure theory. The author considers Markov chains whose state space is equipped with the structure of an infinite, locally finite graph, or as a particular case, of a finitely generated group. The transition probabilities are assumed to be adapted to the underlying structure in some way that must be specified precisely in each case. From the probabilistic viewpoint, the question is what impact the particular type of structure has on various aspects of the behaviour of the random walk. Vice-versa, random walks may also be seen as useful tools for classifying, or at least describing the structure of graphs and groups. Links with spectral theory and discrete potential theory are also discussed. This book will be essential reading for all researchers working in stochastic process and related topics.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The main theme of this book is the interplay between the behaviour of a class of stochastic processes (random walks) and discrete structure theory. The author considers Markov chains whose state space is equipped with the structure of an infinite, locally finite graph, or as a particular case, of a finitely generated group. The transition probabilities are assumed to be adapted to the underlying structure in some way that must be specified precisely in each case. From the probabilistic viewpoint, the question is what impact the particular type of structure has on various aspects of the behaviour of the random walk. Vice-versa, random walks may also be seen as useful tools for classifying, or at least describing the structure of graphs and groups. Links with spectral theory and discrete potential theory are also discussed. This book will be essential reading for all researchers working in stochastic process and related topics.

Revue de presse

Review of the hardback: 'This is an excellent book, where beginners and specialists alike will find useful information. It will become one of the major references for all those interested directly or indirectly in random walks. I highly recommend it.' L. Saloff-Coste, Bulletin of the London Mathematical Society

Review of the hardback: '... will be essential reading for all researchers in stochastic processes and related topics.' European Maths Society Journal

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2000
Langue
anglais
ISBN 10 
0521552923
ISBN 13 
9780521552929
Reliure
Relié
Nombre de pages
348
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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France