Random walks on infinite graphs and groups:
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...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2000
|
| Schriftenreihe: | Cambridge tracts in mathematics
138 |
| Links: | https://doi.org/10.1017/CBO9780511470967 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xi, 334 Seiten) |
| ISBN: | 9780511470967 |
Internformat
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| spelling | Woess, Wolfgang 1954- Random walks on infinite graphs and groups Wolfgang Woess Random Walks on Infinite Graphs & Groups Cambridge Cambridge University Press 2000 1 Online-Ressource (xi, 334 Seiten) txt c cr Cambridge tracts in mathematics 138 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. Erscheint auch als Druck-Ausgabe 9780521061728 Erscheint auch als Druck-Ausgabe 9780521552929 |
| spellingShingle | Woess, Wolfgang 1954- Random walks on infinite graphs and groups |
| title | Random walks on infinite graphs and groups |
| title_alt | Random Walks on Infinite Graphs & Groups |
| title_auth | Random walks on infinite graphs and groups |
| title_exact_search | Random walks on infinite graphs and groups |
| title_full | Random walks on infinite graphs and groups Wolfgang Woess |
| title_fullStr | Random walks on infinite graphs and groups Wolfgang Woess |
| title_full_unstemmed | Random walks on infinite graphs and groups Wolfgang Woess |
| title_short | Random walks on infinite graphs and groups |
| title_sort | random walks on infinite graphs and groups |
| work_keys_str_mv | AT woesswolfgang randomwalksoninfinitegraphsandgroups AT woesswolfgang randomwalksoninfinitegraphsgroups |