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- catalog abstract ""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. Conversely, random walks may also be seen as a useful tool 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 for all researchers working in stochastic processes and related topics."--Jacket.".
- catalog contributor b11618128.
- catalog created "2000.".
- catalog date "2000".
- catalog date "2000.".
- catalog dateCopyrighted "2000.".
- catalog description ""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. Conversely, random walks may also be seen as a useful tool 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 for all researchers working in stochastic processes and related topics."--Jacket.".
- catalog description "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.".
- catalog description "Includes bibliographical references and index.".
- catalog extent "xi, 334 p. :".
- catalog identifier "0521552923 (hardbound)".
- catalog isPartOf "Cambridge tracts in mathematics ; 138".
- catalog issued "2000".
- catalog issued "2000.".
- catalog language "eng".
- catalog publisher "New York : Cambridge University Press,".
- catalog subject "519.2/82 21".
- catalog subject "Graph theory.".
- catalog subject "Infinite groups.".
- catalog subject "QA274.73 .W64 2000".
- catalog subject "Random walks (Mathematics)".
- catalog tableOfContents "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.".
- catalog title "Random walks on infinite graphs and groups / Wolfgang Woess.".
- catalog type "text".