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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2008
|
| Series: | Cambridge studies in advanced mathematics
108 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 Volltext |
| Summary: | 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 |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xiii, 440 Seiten) |
| ISBN: | 9780511619823 |
| DOI: | 10.1017/CBO9780511619823 |
Staff View
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| 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 |
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | |a Finite Markov chains -- Two basic examples on abelian groups -- Basic representation theory of finite groups -- Finite Gelfand pairs -- Distance regular graphs and the Hamming scheme -- The Johnson scheme and the Bernoulli-Laplace diffusion model -- The ultrametric space -- Posets and the q-analogs -- Complements of representation theory -- Basic representation theory of the symmetric group -- The Gelfand pair and random matchings | |
| 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 | ||
| 650 | 4 | |a Harmonic analysis | |
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| any_adam_object | |
| author | Ceccherini-Silberstein, Tullio 1966- |
| author_GND | (DE-588)134288920 (DE-588)134289013 (DE-588)13428903X |
| author_facet | Ceccherini-Silberstein, Tullio 1966- |
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| bvnumber | BV043940599 |
| classification_rvk | SK 260 |
| collection | ZDB-20-CBO |
| contents | Finite Markov chains -- Two basic examples on abelian groups -- Basic representation theory of finite groups -- Finite Gelfand pairs -- Distance regular graphs and the Hamming scheme -- The Johnson scheme and the Bernoulli-Laplace diffusion model -- The ultrametric space -- Posets and the q-analogs -- Complements of representation theory -- Basic representation theory of the symmetric group -- The Gelfand pair and random matchings |
| ctrlnum | (ZDB-20-CBO)CR9780511619823 (OCoLC)850131535 (DE-599)BVBBV043940599 |
| dewey-full | 515.2433 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.2433 |
| dewey-search | 515.2433 |
| dewey-sort | 3515.2433 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511619823 |
| format | Electronic eBook |
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| id | DE-604.BV043940599 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9780511619823 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349569 |
| oclc_num | 850131535 |
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| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 online resource (xiii, 440 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 2008 |
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| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Ceccherini-Silberstein, Tullio 1966- Verfasser (DE-588)134288920 aut 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 resource (xiii, 440 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 108 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Finite Markov chains -- Two basic examples on abelian groups -- Basic representation theory of finite groups -- Finite Gelfand pairs -- Distance regular graphs and the Hamming scheme -- The Johnson scheme and the Bernoulli-Laplace diffusion model -- The ultrametric space -- Posets and the q-analogs -- Complements of representation theory -- Basic representation theory of the symmetric group -- The Gelfand pair and random matchings 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 Harmonic analysis Finite groups Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 s Endliche Gruppe (DE-588)4014651-0 s DE-604 Scarabotti, Fabio 1966- Sonstige (DE-588)134289013 oth Tolli, Filippo 1968- Sonstige (DE-588)13428903X oth Erscheint auch als Druck-Ausgabe 978-0-521-88336-8 https://doi.org/10.1017/CBO9780511619823 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Ceccherini-Silberstein, Tullio 1966- Harmonic analysis on finite groups representation theory, Gelfand pairs and Markov chains Finite Markov chains -- Two basic examples on abelian groups -- Basic representation theory of finite groups -- Finite Gelfand pairs -- Distance regular graphs and the Hamming scheme -- The Johnson scheme and the Bernoulli-Laplace diffusion model -- The ultrametric space -- Posets and the q-analogs -- Complements of representation theory -- Basic representation theory of the symmetric group -- The Gelfand pair and random matchings Harmonic analysis Finite groups Harmonische Analyse (DE-588)4023453-8 gnd Endliche Gruppe (DE-588)4014651-0 gnd |
| subject_GND | (DE-588)4023453-8 (DE-588)4014651-0 |
| 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 |
| topic | Harmonic analysis Finite groups Harmonische Analyse (DE-588)4023453-8 gnd Endliche Gruppe (DE-588)4014651-0 gnd |
| topic_facet | Harmonic analysis Finite groups Harmonische Analyse Endliche Gruppe |
| url | https://doi.org/10.1017/CBO9780511619823 |
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