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Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees

1994 Mathematics
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Release : 1994
Genre : Mathematics
Kind : eBook
Book Rating : 941/5 ( reviews)

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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. This book was released on 1994. 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 for an Anisotropic Random Walk on a Homogeneous Tree

1985 Discrete groups
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Release : 1985
Genre : Discrete groups
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Harmonic Analysis for an Anisotropic Random Walk on a Homogeneous Tree by : Tim Steger

Download or read book Harmonic Analysis for an Anisotropic Random Walk on a Homogeneous Tree written by Tim Steger. This book was released on 1985. Available in PDF, EPUB and Kindle. Book excerpt:

Random Walks on Infinite Graphs and Groups

2000-02-13 Mathematics
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Release : 2000-02-13
Genre : Mathematics
Kind : eBook
Book Rating : 923/5 ( reviews)

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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. This book was released on 2000-02-13. 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.

Analysis and Geometry on Graphs and Manifolds

2020-08-20 Mathematics
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Release : 2020-08-20
Genre : Mathematics
Kind : eBook
Book Rating : 181/5 ( reviews)

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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. This book was released on 2020-08-20. Available in PDF, EPUB and Kindle. Book excerpt: 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

2013-11-11 Mathematics
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Release : 2013-11-11
Genre : Mathematics
Kind : eBook
Book Rating : 233/5 ( reviews)

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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. This book was released on 2013-11-11. 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

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