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Scientific, Technical & Medical      Mathematics

Harmonic Functions and Random Walks on Groups: 213 (Cambridge Studies in Advanced Mathematics, Series Number 213)

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Book Details
Language
English
Publishers
Cambridge University Press (23 May 2024)
Weight
0.7 KG
Publication Date
27/04/2024
ISBN-10
1009123181
Pages
398 pages
ISBN-13
9781009123181
Dimensions
15.24 x 2.54 x 22.86 cm
SKU
9781009123181
Author Name
Ariel Yadin (Author)
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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. .

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