Harmonic analysis on finite groups : representation theory, Gelfand pairs and Markov chains / Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli.
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...
Uniform Title: | Cambridge studies in advanced mathematics ;
108. |
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Main Authors: | |
Language: | English |
Published: |
Cambridge :
Cambridge University Press,
2008.
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Series: | Cambridge studies in advanced mathematics ;
108. |
Subjects: | |
Online Access: | |
Physical Description: | 1 online resource (xiii, 440 pages) : digital, PDF file(s). |
Format: | Electronic eBook |
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.