Harmonic analysis on finite groups: representation theory, Gelfand pairs and Markov chains
Line up a deck of 52 cards on a table. Randomly choose two cards and switch them. How many switches are needed in order to mix up the deck? Starting from a few concrete problems such as random walks on the discrete circle and the finite ultrametric space this book develops the necessary tools for th...
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Format: | E-Book |
Sprache: | Englisch |
Veröffentlicht: |
Cambridge
Cambridge University Press
2008
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Schriftenreihe: | Cambridge studies in advanced mathematics
108 |
Links: | https://doi.org/10.1017/CBO9780511619823 |
Zusammenfassung: | Line up a deck of 52 cards on a table. Randomly choose two cards and switch them. How many switches are needed in order to mix up the deck? Starting from a few concrete problems such as random walks on the discrete circle and the finite ultrametric space this book develops the necessary tools for the asymptotic analysis of these processes. This detailed study culminates with the case-by-case analysis of the cut-off phenomenon discovered by Persi Diaconis. This self-contained text is ideal for graduate students and researchers working in the areas of representation theory, group theory, harmonic analysis and Markov chains. Its topics range from the basic theory needed for students new to this area, to advanced topics such as the theory of Green's algebras, the complete analysis of the random matchings, and the representation theory of the symmetric group. |
Umfang: | 1 Online-Ressource (xiii, 440 Seiten) |
ISBN: | 9780511619823 |
Internformat
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100 | 1 | |a Ceccherini-Silberstein, Tullio | |
245 | 1 | 0 | |a Harmonic analysis on finite groups |b representation theory, Gelfand pairs and Markov chains |c Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli |
264 | 1 | |a Cambridge |b Cambridge University Press |c 2008 | |
300 | |a 1 Online-Ressource (xiii, 440 Seiten) | ||
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490 | 1 | |a Cambridge studies in advanced mathematics |v 108 | |
520 | |a Line up a deck of 52 cards on a table. Randomly choose two cards and switch them. How many switches are needed in order to mix up the deck? Starting from a few concrete problems such as random walks on the discrete circle and the finite ultrametric space this book develops the necessary tools for the asymptotic analysis of these processes. This detailed study culminates with the case-by-case analysis of the cut-off phenomenon discovered by Persi Diaconis. This self-contained text is ideal for graduate students and researchers working in the areas of representation theory, group theory, harmonic analysis and Markov chains. Its topics range from the basic theory needed for students new to this area, to advanced topics such as the theory of Green's algebras, the complete analysis of the random matchings, and the representation theory of the symmetric group. | ||
700 | 1 | |a Scarabotti, Fabio | |
700 | 1 | |a Tolli, Filippo |d 1968- | |
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spelling | Ceccherini-Silberstein, Tullio Harmonic analysis on finite groups representation theory, Gelfand pairs and Markov chains Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli Cambridge Cambridge University Press 2008 1 Online-Ressource (xiii, 440 Seiten) txt c cr Cambridge studies in advanced mathematics 108 Line up a deck of 52 cards on a table. Randomly choose two cards and switch them. How many switches are needed in order to mix up the deck? Starting from a few concrete problems such as random walks on the discrete circle and the finite ultrametric space this book develops the necessary tools for the asymptotic analysis of these processes. This detailed study culminates with the case-by-case analysis of the cut-off phenomenon discovered by Persi Diaconis. This self-contained text is ideal for graduate students and researchers working in the areas of representation theory, group theory, harmonic analysis and Markov chains. Its topics range from the basic theory needed for students new to this area, to advanced topics such as the theory of Green's algebras, the complete analysis of the random matchings, and the representation theory of the symmetric group. Scarabotti, Fabio Tolli, Filippo 1968- Erscheint auch als Druck-Ausgabe 9780521883368 |
spellingShingle | Ceccherini-Silberstein, Tullio Harmonic analysis on finite groups representation theory, Gelfand pairs and Markov chains |
title | Harmonic analysis on finite groups representation theory, Gelfand pairs and Markov chains |
title_auth | Harmonic analysis on finite groups representation theory, Gelfand pairs and Markov chains |
title_exact_search | Harmonic analysis on finite groups representation theory, Gelfand pairs and Markov chains |
title_full | Harmonic analysis on finite groups representation theory, Gelfand pairs and Markov chains Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli |
title_fullStr | Harmonic analysis on finite groups representation theory, Gelfand pairs and Markov chains Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli |
title_full_unstemmed | Harmonic analysis on finite groups representation theory, Gelfand pairs and Markov chains Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli |
title_short | Harmonic analysis on finite groups |
title_sort | harmonic analysis on finite groups representation theory gelfand pairs and markov chains |
title_sub | representation theory, Gelfand pairs and Markov chains |
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