Random Walks on Reductive Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Random Walks on Reductive Groups write by Yves Benoist. This book was released on 2016-10-20. Random Walks on Reductive Groups available in PDF, EPUB and Kindle. 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 on Infinite Groups
Random Walks on Infinite Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Random Walks on Infinite Groups write by Steven P. Lalley. This book was released on 2023-05-08. Random Walks on Infinite Groups available in PDF, EPUB and Kindle. 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 and Discrete Potential Theory
Random Walks and Discrete Potential Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Random Walks and Discrete Potential Theory write by M. Picardello. This book was released on 1999-11-18. Random Walks and Discrete Potential Theory available in PDF, EPUB and Kindle. Comprehensive and interdisciplinary text covering the interplay between random walks and structure theory.
Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees
Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees write by Alessandro Figà-Talamanca. This book was released on 1994. Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees available in PDF, EPUB and Kindle. 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 and Geometry
Random Walks and Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Random Walks and Geometry write by Vadim Kaimanovich. This book was released on 2008-08-22. Random Walks and Geometry available in PDF, EPUB and Kindle. 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.
