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Random walks on infinite graphs and ...

Woess, Wolfgang, (1954-)

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Random walks on infinite graphs and groups

Record Type:	Electronic resources : Monograph/item
Title/Author:	Random walks on infinite graphs and groups/ Wolfgang Woess.
remainder title:	Random Walks on Infinite Graphs & Groups
Author:	Woess, Wolfgang,
Published:	Cambridge :Cambridge University Press, : 2000.,
Description:	xi, 334 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
[NT 15003449]:	Ch. I. The type problem -- Ch. II. The spectral radius -- Ch. III. The asymptotic behaviour of transition probabilities -- Ch. IV. An introduction to topological boundary theory.
Subject:	Random walks (Mathematics) -
Online resource:	https://doi.org/10.1017/CBO9780511470967
ISBN:	9780511470967

Random walks on infinite graphs and groups
Woess, Wolfgang,1954-

Random walks on infinite graphs and groups[electronic resource] /Random Walks on Infinite Graphs & GroupsWolfgang Woess. - Cambridge :Cambridge University Press,2000. - xi, 334 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;138. - Cambridge tracts in mathematics ;138..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Ch. I. The type problem -- Ch. II. The spectral radius -- Ch. III. The asymptotic behaviour of transition probabilities -- Ch. IV. An introduction to topological boundary theory.

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.

ISBN: 9780511470967Subjects--Topical Terms:

532102
Random walks (Mathematics)

LC Class. No.: QA274.73 / .W64 2000

Dewey Class. No.: 519.282

Random walks on infinite graphs and groups
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100 1 $a Woess, Wolfgang, $d 1954- $3 1517280
245 1 0 $a Random walks on infinite graphs and groups $h [electronic resource] / $c Wolfgang Woess.
246 3 $a Random Walks on Infinite Graphs & Groups
260 $a Cambridge : $b Cambridge University Press, $c 2000.
300 $a xi, 334 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 138
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a Ch. I. The type problem -- Ch. II. The spectral radius -- Ch. III. The asymptotic behaviour of transition probabilities -- Ch. IV. An introduction to topological boundary theory.
520 $a 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.
650 0 $a Random walks (Mathematics) $3 532102
650 0 $a Graph theory. $3 523815
650 0 $a Infinite groups. $3 526101
830 0 $a Cambridge tracts in mathematics ; $v 138. $3 3470494
856 4 0 $u https://doi.org/10.1017/CBO9780511470967