This unique book provides a self-contained exposition of the theory of cellular automata on groups and explores its deep connections with recent developments in geometric and combinatorial group theory, amenability, symbolic dynamics, the algebrai...Lasīt vairāk
This book complements the authors monograph Cellular Automata and Groups ( CAG) (Springer Monographs in Mathematics). It consists of more than 600 fully solved exercises in symbolic dynamics and geometric group theory with connections to ge...Lasīt vairāk
This unique book provides a self-contained exposition of the theory of cellular automata on groups and explores its deep connections with recent developments in geometric and combinatorial group theory, amenability, symbolic dynamics, the algebrai...Lasīt vairāk
This monograph adopts an operational and functional analytic approach to the following problem: given a short exact sequence (group extension) 1 ? N ? G ? H ? 1 of finite groups, describe the irreducible representations of G by means of the structure...Lasīt vairāk
This book complements the authors monograph Cellular Automata and Groups ( CAG) (Springer Monographs in Mathematics). It consists of more than 600 fully solved exercises in symbolic dynamics and geometric group theory with connections to ge...Lasīt vairāk
This monograph adopts an operational and functional analytic approach to the following problem: given a short exact sequence (group extension) 1 ? N ? G ? H ? 1 of finite groups, describe the irreducible representations of G by means of the structure...Lasīt vairāk
This book provides a detailed exposition of a wide range of topics in geometric group theory, inspired by Gromovs pivotal work in the 1980s. It includes classical theorems on nilpotent groups and solvable groups, a fundamental study of the growth of...Lasīt vairāk
This book provides a detailed exposition of a wide range of topics in geometric group theory, inspired by Gromovs pivotal work in the 1980s. It includes classical theorems on nilpotent groups and solvable groups, a fundamental study of the growth of...Lasīt vairāk
This monograph is the first comprehensive treatment of multiplicity-free induced representations of finite groups as a generalization of finite Gelfand pairs. Up to now, researchers have been somehow reluctant to face such a problem in a general situ...Lasīt vairāk
Sērija : Cambridge Studies in Advanced Mathematics
(Izdošanas datums: 21-Jun-2018, Hardback, Izdevniecība: Cambridge University Press, ISBN-13: 9781107182332)
This self-contained book introduces readers to discrete harmonic analysis with an emphasis on the Discrete Fourier Transform and the Fast Fourier Transform on finite groups and finite fields, as well as their noncommutative versions. It also features...Lasīt vairāk
An accessible and panoramic account of the theory of random walks on groups and graphs, stressing the connections with other branches of mathematics. Covering topics from growth and amenability of groups, Schrödinger operators, and Poisson boundarie...Lasīt vairāk
This book presents an introduction to the representation theory of wreath products of finite groups and harmonic analysis on the corresponding homogeneous spaces. The reader will find a detailed description of the theory of induced representations an...Lasīt vairāk
(Izdošanas datums: 05-Nov-2012, Paperback / softback, Izdevniecība: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783642264757)
This book presents a self-contained exposition of the theory of cellular automata on groups and explores its deep connections with recent developments in geometric group theory and other branches of mathematics and theoretical computer science. ...Lasīt vairāk
(Izdošanas datums: 03-Sep-2010, Hardback, Izdevniecība: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783642140334)
Cellular automata were introduced in the first half of the last century by John von Neumann who used them as theoretical models for self-reproducing machines. The authors present a self-contained exposition of the theory of cellular automata on group...Lasīt vairāk
Sērija : Cambridge Studies in Advanced Mathematics
(Izdošanas datums: 04-Feb-2010, Hardback, Izdevniecība: Cambridge University Press, ISBN-13: 9780521118170)
The representation theory of the symmetric groups is a classical topic that, since the pioneering work of Frobenius, Schur and Young, has grown into a huge body of theory, with many important connections to other areas of mathematics and physics. Th...Lasīt vairāk
Sērija : Cambridge Studies in Advanced Mathematics
(Izdošanas datums: 06-Mar-2008, Hardback, Izdevniecība: Cambridge University Press, ISBN-13: 9780521883368)
Self-contained text, ideal for graduate students new to the area and researchers. Starting from a few concrete problems such as random walks on the discrete circle and the finite ultrametric space, this book develops the necessary tools for t...Lasīt vairāk
This book offers a panorama of recent advances in the theory of infinite groups. It contains survey papers contributed by leading specialists in group theory and other areas of mathematics. Topics include amenable groups, Kaehler group...Lasīt vairāk
