UID:
almafu_9961516260902883
Umfang:
1 online resource (xix, 381 pages) :
,
digital, PDF file(s).
Ausgabe:
First edition.
ISBN:
9781009546577
,
1009546570
,
9781009128391
,
1009128396
Serie:
Cambridge Studies in Advanced Mathematics Series
Inhalt:
Research in recent years has highlighted the deep connections between the algebraic, geometric, and analytic structures of a discrete group. New methods and ideas have resulted in an exciting field, with many opportunities for new researchers. This book is an introduction to the area from a modern vantage point. It incorporates the main basics, such as Kesten's amenability criterion, Coulhon and Saloff-Coste inequality, random walk entropy and bounded harmonic functions, the Choquet-Deny Theorem, the Milnor-Wolf Theorem, and a complete proof of Gromov's Theorem on polynomial growth groups. The book is especially appropriate for young researchers, and those new to the field, accessible even to graduate students. An abundance of examples, exercises, and solutions encourage self-reflection and the internalization of the concepts introduced. The author also points to open problems and possibilities for further research.
Anmerkung:
Title from publisher's bibliographic system (viewed on 16 May 2024).
Weitere Ausg.:
ISBN 9781009123181
Weitere Ausg.:
ISBN 1009123181
Sprache:
Englisch
Schlagwort(e):
Llibres electrònics
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