Harmonic Functions and Random Walks on Groups: 213 (Cambridge Studies in Advanced Mathematics, Series Number 213) - Hardcover
Synopsis
A modern introduction into the emerging research field of harmonic functions and random walks on groups.
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About the Author
Ariel Yadin is Professor in the Department of Mathematics at Ben-Gurion University of the Negev. His research is focused on the interplay between random walks and the geometry of groups. He has taught a variety of courses on the subject, and has been part of a new wave of investigation into the structure of spaces of unbounded harmonic functions on groups.
"About this title" may belong to another edition of this title.
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Harmonic Functions and Random Walks on Groups
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Hardcover. Condition: new. Hardcover. 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 ChoquetDeny Theorem, the MilnorWolf 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. The field of random walks on groups is re-emerging with many new ideas and exciting research. This book contains a comprehensive introduction for researchers new to the field. Despite dealing with cutting-edge research, it is accessible even to new graduate students, with worked examples, exercises, and open problems all included. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781009123181
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Harmonic Functions and Random Walks on Groups
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Harmonic Functions and Random Walks on Groups (Cambridge Studies in Advanced Mathematics, Series Number 213)
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