Random Walks On Reductive Groups
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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.
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 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.
Harmonic Analysis For Anisotropic Random Walks On Homogeneous Trees
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Author : Alessandro Figà-Talamanca
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
Harmonic Analysis For Anisotropic Random Walks On Homogeneous Trees written by Alessandro Figà-Talamanca and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
This work presents a detailed study of the anisotropic series representations of the free product group Z/2Z*...*Z/2Z. These representations are infinite dimensional, irreducible, and unitary and can be divided into principal and complementary series. Anisotropic series representations are interesting because, while they are not restricted from any larger continuous group in which the discrete group is a lattice, they nonetheless share many properties of such restrictions. The results of this work are also valid for nonabelian free groups on finitely many generators.
Random Walks On Finite Groups With Multiplicity Two
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Author : Farid Ghassem Bassiri
language : en
Publisher:
Release Date : 1997
Random Walks On Finite Groups With Multiplicity Two written by Farid Ghassem Bassiri and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Random walks (Mathematics) categories.
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.
Topological Groups
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Author : Patricia A. B. Cerrito
language : en
Publisher:
Release Date : 1982
Topological Groups written by Patricia A. B. Cerrito and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.
First Steps In Random Walks
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Author : J. Klafter
language : en
Publisher: Oxford University Press
Release Date : 2011-08-18
First Steps In Random Walks written by J. Klafter and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-18 with Business & Economics categories.
Random walks proved to be a useful model of many complex transport processes at the micro and macroscopical level in physics and chemistry, economics, biology and other disciplines. The book discusses the main variants of random walks and gives the most important mathematical tools for their theoretical description.
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 Geometry
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Author : Vadim Kaimanovich
language : en
Publisher: Walter de Gruyter
Release Date : 2008-08-22
Random Walks And Geometry written by Vadim Kaimanovich and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-22 with Mathematics categories.
Die jüngsten Entwicklungen zeigen, dass sich Wahrscheinlichkeitsverfahren zu einem sehr wirkungsvollen Werkzeug entwickelt haben, und das auf so unterschiedlichen Gebieten wie statistische Physik, dynamische Systeme, Riemann'sche Geometrie, Gruppentheorie, harmonische Analyse, Graphentheorie und Informatik.
