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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ceccherini-Silberstein, Tullio
Otros Autores: Scarabotti, Fabio, Tolli, Filippo, 1968-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2008.
Colección:Cambridge studies in advanced mathematics ; 108.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.