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Harmonic Analysis For Anisotropic Random Walks On Homogeneous Trees


Harmonic Analysis For Anisotropic Random Walks On Homogeneous Trees
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Harmonic Analysis For Anisotropic Random Walks On Homogeneous Trees


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 Infinite Graphs And Groups


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.



Analysis And Geometry On Graphs And Manifolds


Analysis And Geometry On Graphs And Manifolds
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Author : Matthias Keller
language : en
Publisher: Cambridge University Press
Release Date : 2020-08-20

Analysis And Geometry On Graphs And Manifolds written by Matthias Keller 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 2020-08-20 with Mathematics categories.


A contemporary exploration of the interplay between geometry, spectral theory and stochastics which is explored for graphs and manifolds.



Harmonic Analysis And Discrete Potential Theory


Harmonic Analysis And Discrete Potential Theory
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Author : M.A. Picardello
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Harmonic Analysis And Discrete Potential Theory written by M.A. Picardello and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.


This book collects the Proceedings of a Congress held in Frascati (Rome) in the period July 1 -July 10, 1991, on the subject of harmonic analysis and discrete potential theory, and related topics. The Congress was made possible by the financial support of the Italian National Research Council ("Gruppo GNAFA"), the Ministry of University ("Gruppo Analisi Funzionale" of the University of Milano), the University of Rome "Tor Vergata", and was also patronized by the Centro "Vito Volterra" of the University of Rome "Tor Vergata". Financial support for publishing these Proceedings was provided by the University of Rome "Tor Vergata", and by a generous contribution of the Centro "Vito Volterra". I am happy of this opportunity to acknowledge the generous support of all these Institutions, and to express my gratitude, and that of all the participants. A number of distinguished mathematicians took part in the Congress. Here is the list of participants: M. Babillot, F. Choucroun, Th. Coulhon, L. Elie, F. Ledrappier, N. Th. Varopoulos (Paris); L. Gallardo (Brest); Ph. Bougerol, B. Roynette (Nancy); O. Gebuhrer (Strasbourg); G. Ahumada-Bustamante (Mulhouse); A. Valette (Neuchatel); P. Gerl (Salzburg); W. Hansen, H. Leptin (Bielefeld); M. Bozejko, A. Hulanicki, T. Pytlik (Wroclaw); C. Thomassen (Lyngby); P. Sjogren (Goteborg); V. Kaimanovich (Leningrad); A. Nevo (Jerusalem); T. Steger (Chicago); S. Sawyer, M. Taibleson, G. Weiss (St. Louis); J. Cohen, S.S ali ani (Maryland); D. Voiculescu (Berkeley); A. Zemanian (Stony Brook); S. Northshield (Plattsburgh); J. Taylor (Montreal); J



Modern Theory Of Dynamical Systems


Modern Theory Of Dynamical Systems
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Author : Anatole Katok
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-06-19

Modern Theory Of Dynamical Systems written by Anatole Katok 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 2017-06-19 with Mathematics categories.


This volume is a tribute to one of the founders of modern theory of dynamical systems, the late Dmitry Victorovich Anosov. It contains both original papers and surveys, written by some distinguished experts in dynamics, which are related to important themes of Anosov's work, as well as broadly interpreted further crucial developments in the theory of dynamical systems that followed Anosov's original work. Also included is an article by A. Katok that presents Anosov's scientific biography and a picture of the early development of hyperbolicity theory in its various incarnations, complete and partial, uniform and nonuniform.



Essays On Geometry


Essays On Geometry
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Author : A. Muhammed Uludağ
language : en
Publisher: Springer Nature
Release Date : 2025-01-27

Essays On Geometry written by A. Muhammed Uludağ and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-27 with Mathematics categories.


The book is a comprehensive compilation of diverse articles delving into various intriguing topics within the realm of geometry. Each article is refereed by prominent researchers in the field. The book contains research articles offering valuable insights and original results, making it a valuable resource for researchers in the field, as well as survey articles that review current developments and list open problems.



Orthogonal Decompositions And Functional Limit Theorems For Random Graph Statistics


Orthogonal Decompositions And Functional Limit Theorems For Random Graph Statistics
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Author : Svante Janson
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

Orthogonal Decompositions And Functional Limit Theorems For Random Graph Statistics written by Svante Janson 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.


We define an orthogonal basis in the space of real-valued functions of a random graph, and prove a functional limit theorem for this basis. Limit theorems for other functions then follow by decomposition. The results include limit theorems for the two random graph models [italic]G[subscript italic]n, [subscript italic]p and [italic]G[subscript italic]n, [subscript italic]m as well as functional limit theorems for the evolution of a random graph and results on the maximum of a function during the evolution. Both normal and non-normal limits are obtained. As examples, applications are given to subgraph counts and to vertex degrees.



On Finite Groups And Homotopy Theory


On Finite Groups And Homotopy Theory
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Author : Ran Levi
language : en
Publisher: American Mathematical Soc.
Release Date : 1995

On Finite Groups And Homotopy Theory written by Ran Levi 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 1995 with Mathematics categories.


In part 1 we study the homology, homotopy, and stable homotopy of [capital Greek]Omega[italic capital]B[lowercase Greek]Pi[up arrowhead][over][subscript italic]p, where [italic capital]G is a finite [italic]p-perfect group. In part 2 we define the concept of resolutions by fibrations over an arbitrary family of spaces.



Compact Connected Lie Transformation Groups On Spheres With Low Cohomogeneity I


Compact Connected Lie Transformation Groups On Spheres With Low Cohomogeneity I
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Author : Eldar Straume
language : en
Publisher: American Mathematical Soc.
Release Date : 1996

Compact Connected Lie Transformation Groups On Spheres With Low Cohomogeneity I written by Eldar Straume 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 1996 with Mathematics categories.


The cohomogeneity of a transformation group ([italic capitals]G, X) is, by definition, the dimension of its orbit space, [italic]c = dim [italic capitals]X, G. By enlarging this simple numerical invariant, but suitably restricted, one gradually increases the complexity of orbit structures of transformation groups. This is a natural program for classical space forms, which traditionally constitute the first canonical family of testing spaces, due to their unique combination of topological simplicity and abundance in varieties of compact differentiable transformation groups.



Christoffel Functions And Orthogonal Polynomials For Exponential Weights On 1 1


Christoffel Functions And Orthogonal Polynomials For Exponential Weights On 1 1
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Author : A. L. Levin
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

Christoffel Functions And Orthogonal Polynomials For Exponential Weights On 1 1 written by A. L. Levin 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.


Bounds for orthogonal polynomials which hold on the 'whole' interval of orthogonality are crucial to investigating mean convergence of orthogonal expansions, weighted approximation theory, and the structure of weighted spaces. This book focuses on a method of obtaining such bounds for orthogonal polynomials (and their Christoffel functions) associated with weights on [-1,1]. Also presented are uniform estimates of spacing of zeros of orthogonal polynomials and applications to weighted approximation theory.