Harmonic functions and random walks on groups
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 v...
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| Sprache: | English |
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Cambridge University Press
2024
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| Schriftenreihe: | Cambridge studies in advanced mathematics
213 |
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| id | ZDB-20-CTM-CR9781009128391 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-18T12:04:26Z |
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| isbn | 9781009128391 |
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| spelling | Yadin, Ariel Harmonic functions and random walks on groups Ariel Yadin Cambridge Cambridge University Press 2024 1 Online-Ressource (xix, 381 Seiten) txt c cr Cambridge studies in advanced mathematics 213 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. Erscheint auch als Druck-Ausgabe 9781009123181 TUM01 ZDB-20-CTM TUM_PDA_CTM https://doi.org/10.1017/9781009128391 Volltext |
| spellingShingle | Yadin, Ariel Harmonic functions and random walks on groups |
| title | Harmonic functions and random walks on groups |
| title_auth | Harmonic functions and random walks on groups |
| title_exact_search | Harmonic functions and random walks on groups |
| title_full | Harmonic functions and random walks on groups Ariel Yadin |
| title_fullStr | Harmonic functions and random walks on groups Ariel Yadin |
| title_full_unstemmed | Harmonic functions and random walks on groups Ariel Yadin |
| title_short | Harmonic functions and random walks on groups |
| title_sort | harmonic functions and random walks on groups |
| url | https://doi.org/10.1017/9781009128391 |
| work_keys_str_mv | AT yadinariel harmonicfunctionsandrandomwalksongroups |