Random Walks On Groups

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Random Walks On Groups

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Author : Alexander Chwei-Tsuo Lin
language : en
Publisher:
Release Date : 1991

Random Walks On Groups written by Alexander Chwei-Tsuo Lin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Markov processes categories.

Random Walks On Infinite Groups

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Author : Steven P. Lalley
language : en
Publisher: Springer Nature
Release Date : 2023-05-08

Random Walks On Infinite Groups written by Steven P. Lalley and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-08 with Mathematics categories.

This text presents the basic theory of random walks on infinite, finitely generated groups, along with certain background material in measure-theoretic probability. The main objective is to show how structural features of a group, such as amenability/nonamenability, affect qualitative aspects of symmetric random walks on the group, such as transience/recurrence, speed, entropy, and existence or nonexistence of nonconstant, bounded harmonic functions. The book will be suitable as a textbook for beginning graduate-level courses or independent study by graduate students and advanced undergraduate students in mathematics with a solid grounding in measure theory and a basic familiarity with the elements of group theory. The first seven chapters could also be used as the basis for a short course covering the main results regarding transience/recurrence, decay of return probabilities, and speed. The book has been organized and written so as to be accessible not only to students in probability theory, but also to students whose primary interests are in geometry, ergodic theory, or geometric group theory.

Random Walks On Reductive Groups

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Author : Yves Benoist
language : en
Publisher: Springer
Release Date : 2016-10-20

Random Walks On Reductive Groups written by Yves Benoist and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-20 with Mathematics categories.

The classical theory of random walks describes the asymptotic behavior of sums of independent identically distributed random real variables. This book explains the generalization of this theory to products of independent identically distributed random matrices with real coefficients. Under the assumption that the action of the matrices is semisimple – or, equivalently, that the Zariski closure of the group generated by these matrices is reductive - and under suitable moment assumptions, it is shown that the norm of the products of such random matrices satisfies a number of classical probabilistic laws. This book includes necessary background on the theory of reductive algebraic groups, probability theory and operator theory, thereby providing a modern introduction to the topic.

Studies Of Random Walks On Groups And Random Graphs

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Author : Carl Changzhu Dou
language : en
Publisher:
Release Date : 1992

Studies Of Random Walks On Groups And Random Graphs written by Carl Changzhu Dou and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Random graphs categories.

Groups Graphs And Random Walks

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Author : Tullio Ceccherini-Silberstein
language : en
Publisher: Cambridge University Press
Release Date : 2017-06-29

Groups Graphs And Random Walks written by Tullio Ceccherini-Silberstein and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-29 with Mathematics categories.

An up-to-date, panoramic account of the theory of random walks on groups and graphs, outlining connections with various mathematical fields.

Symmetric Random Walks On Groups

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Author : Harry Kesten
language : en
Publisher:
Release Date : 1958

Symmetric Random Walks On Groups written by Harry Kesten and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Group theory categories.

Random Walks And Discrete Potential Theory

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Author : M. Picardello
language : en
Publisher: Cambridge University Press
Release Date : 1999-11-18

Random Walks And Discrete Potential Theory written by M. Picardello and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-11-18 with Mathematics categories.

Comprehensive and interdisciplinary text covering the interplay between random walks and structure theory.

Random Walks On Infinite Graphs And Groups

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Author : Wolfgang Woess
language : en
Publisher: Cambridge University Press
Release Date : 2000-02-13

Random Walks On Infinite Graphs And Groups written by Wolfgang Woess and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-02-13 with Mathematics categories.

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.

Random Walks On Groups

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Author : Persi Diaconis
language : en
Publisher:
Release Date : 2002

Random Walks On Groups written by Persi Diaconis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.

Random Walks On Groups

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Author : Igor Pak
language : en
Publisher:
Release Date : 1997

Random Walks On Groups written by Igor Pak and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Markov processes categories.