Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees

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Publisher : American Mathematical Soc.
ISBN 13 : 0821825941
Total Pages : 86 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees by : Alessandro Figà-Talamanca

Download or read book Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees written by Alessandro Figà-Talamanca and published by American Mathematical Soc.. This book was released on 1994 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Harmonic Analysis and Discrete Potential Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1489923233
Total Pages : 299 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Harmonic Analysis and Discrete Potential Theory by : M.A. Picardello

Download or read book Harmonic Analysis and Discrete Potential Theory written by M.A. Picardello and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Random Walks on Infinite Graphs and Groups

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Publisher : Cambridge University Press
ISBN 13 : 0521552923
Total Pages : 350 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Random Walks on Infinite Graphs and Groups by : Wolfgang Woess

Download or read book Random Walks on Infinite Graphs and Groups written by Wolfgang Woess and published by Cambridge University Press. This book was released on 2000-02-13 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees

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Publisher : Cambridge University Press
ISBN 13 : 0521424445
Total Pages : 165 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees by : Alessandro Figá-Talamanca

Download or read book Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees written by Alessandro Figá-Talamanca and published by Cambridge University Press. This book was released on 1991-06-28 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes treat in full detail the theory of representations of the group of automorphisms of a homogeneous tree. The unitary irreducible representations are classified in three types: a continuous series of spherical representations; two special representations; and a countable series of cuspidal representations as defined by G.I. Ol'shiankii. Several notable subgroups of the full automorphism group are also considered. The theory of spherical functions as eigenvalues of a Laplace (or Hecke) operator on the tree is used to introduce spherical representations and their restrictions to discrete subgroups. This will be an excellent companion for all researchers into harmonic analysis or representation theory.

Probability Measures on Groups VIII

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Publisher : Springer
ISBN 13 : 3540448527
Total Pages : 397 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Probability Measures on Groups VIII by : Herbert Heyer

Download or read book Probability Measures on Groups VIII written by Herbert Heyer and published by Springer. This book was released on 2006-11-14 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analysis and Geometry on Graphs and Manifolds

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Publisher : Cambridge University Press
ISBN 13 : 1108587380
Total Pages : 493 pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis Analysis and Geometry on Graphs and Manifolds by : Matthias Keller

Download or read book Analysis and Geometry on Graphs and Manifolds written by Matthias Keller and published by Cambridge University Press. This book was released on 2020-08-20 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the interplay between several rapidly expanding areas of mathematics. Suitable for graduate students as well as researchers, it provides surveys of topics linking geometry, spectral theory and stochastics.

Modern Theory of Dynamical Systems

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Publisher : American Mathematical Soc.
ISBN 13 : 1470425602
Total Pages : 334 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Modern Theory of Dynamical Systems by : Anatole Katok

Download or read book Modern Theory of Dynamical Systems written by Anatole Katok and published by American Mathematical Soc.. This book was released on 2017-06-19 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Harmonic Analysis of Probability Measures on Hypergroups

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Publisher : Walter de Gruyter
ISBN 13 : 3110877597
Total Pages : 609 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Harmonic Analysis of Probability Measures on Hypergroups by : Walter R. Bloom

Download or read book Harmonic Analysis of Probability Measures on Hypergroups written by Walter R. Bloom and published by Walter de Gruyter. This book was released on 2011-04-20 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.

Analysis on Graphs and Its Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 0821844717
Total Pages : 721 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Analysis on Graphs and Its Applications by : Pavel Exner

Download or read book Analysis on Graphs and Its Applications written by Pavel Exner and published by American Mathematical Soc.. This book was released on 2008 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses a new interdisciplinary area emerging on the border between various areas of mathematics, physics, chemistry, nanotechnology, and computer science. The focus here is on problems and techniques related to graphs, quantum graphs, and fractals that parallel those from differential equations, differential geometry, or geometric analysis. Also included are such diverse topics as number theory, geometric group theory, waveguide theory, quantum chaos, quantum wiresystems, carbon nano-structures, metal-insulator transition, computer vision, and communication networks.This volume contains a unique collection of expert reviews on the main directions in analysis on graphs (e.g., on discrete geometric analysis, zeta-functions on graphs, recently emerging connections between the geometric group theory and fractals, quantum graphs, quantum chaos on graphs, modeling waveguide systems and modeling quantum graph systems with waveguides, control theory on graphs), as well as research articles.

150 Years of Mathematics at Washington University in St. Louis

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Publisher : American Mathematical Soc.
ISBN 13 : 082183603X
Total Pages : 162 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis 150 Years of Mathematics at Washington University in St. Louis by : Gary R. Jensen

Download or read book 150 Years of Mathematics at Washington University in St. Louis written by Gary R. Jensen and published by American Mathematical Soc.. This book was released on 2006 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles in this book are based on talks given at the conference commemorating the 150th anniversary of the Washington University in St. Louis. The articles cover a wide range of important topics in mathematics, and are written by former and present faculty or graduates of the Washington University Department of Mathematics. The volume is prefaced by a brief history of the Washington University Department of Mathematics, a roster of those who received the PhD degree from the department, and a list of the Washington University Department of Mathematics faculty.

Bollettino Della Unione Matematica Italiana

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Publisher :
ISBN 13 :
Total Pages : 1016 pages
Book Rating : 4.:/5 (321 download)

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Download or read book Bollettino Della Unione Matematica Italiana written by and published by . This book was released on 1989 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topics in Probability and Lie Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821870242
Total Pages : 220 pages
Book Rating : 4.8/5 (72 download)

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Book Synopsis Topics in Probability and Lie Groups by : John Christopher Taylor

Download or read book Topics in Probability and Lie Groups written by John Christopher Taylor and published by American Mathematical Soc.. This book was released on with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is comprised of two parts: the first contains articles by S. N. Evans, F. Ledrappier, and Figa-Talomanaca. These articles arose from a Centre de Recherches de Mathematiques (CRM) seminar entitiled, ''Topics in Probability on Lie Groups: Boundary Theory''. Evans gives a synthesis of his pre-1992 work on Gaussian measures on vector spaces over a local field. Ledrappier uses the freegroup on $d$ generators as a paradigm for results on the asymptotic properties of random walks and harmonic measures on the Martin boundary. These articles are followed by a case study by Figa-Talamanca using Gelfand pairs to study a diffusion on a compact ultrametric space. The second part of the book is an appendix to the book Compactifications of Symmetric Spaces (Birkhauser) by Y. Guivarc'h and J. C. Taylor. This appendix consists of an article by each author and presents the contents of this book in a more algebraic way. L. Ji and J.-P. Anker simplifies some of their results on the asymptotics of the Green function that were used to compute Martin boundaries. And Taylor gives a self-contained account of Martin boundary theory for manifolds using the theory of second order strictly elliptic partial differential operators.

Bollettino della Unione matematica italiana

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Publisher :
ISBN 13 :
Total Pages : 338 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Bollettino della Unione matematica italiana by : Unione matematica italiana

Download or read book Bollettino della Unione matematica italiana written by Unione matematica italiana and published by . This book was released on 1986 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Prospects of Mathematical Science

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Publisher :
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Prospects of Mathematical Science by : Takayoshi Mitsui

Download or read book Prospects of Mathematical Science written by Takayoshi Mitsui and published by . This book was released on 1988 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1852 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1852 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dissertation Abstracts International

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Publisher :
ISBN 13 :
Total Pages : 646 pages
Book Rating : 4.F/5 ( download)

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Download or read book Dissertation Abstracts International written by and published by . This book was released on 1986 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt:

American Doctoral Dissertations

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Publisher :
ISBN 13 :
Total Pages : 696 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis American Doctoral Dissertations by :

Download or read book American Doctoral Dissertations written by and published by . This book was released on 1985 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: