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.
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.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
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.
Inhaltsangabe
Part I. Tools and Theory: 1. Background 2. Martingales 3. Markov chains 4. Networks and discrete analysis Part II. Results and Applications: 5. Growth, dimension, and heat kernel 6. Bounded harmonic functions 7. Choquet-Deny groups 8. The Milnor-Wolf theorem 9. Gromov's theorem Appendices: A. Hilbert space background B. Entropy C. Coupling and total variation References Index.
Part I. Tools and Theory: 1. Background 2. Martingales 3. Markov chains 4. Networks and discrete analysis Part II. Results and Applications: 5. Growth, dimension, and heat kernel 6. Bounded harmonic functions 7. Choquet-Deny groups 8. The Milnor-Wolf theorem 9. Gromov's theorem Appendices: A. Hilbert space background B. Entropy C. Coupling and total variation References Index.
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