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Harmonic analysis on finite groups =...

Ceccherini-Silberstein, Tullio.

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Harmonic analysis on finite groups = representation theory, Gelfand pairs and Markov chains /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Harmonic analysis on finite groups/ Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli.
其他題名:	representation theory, Gelfand pairs and Markov chains /
作者:	Ceccherini-Silberstein, Tullio.
其他作者:	Scarabotti, Fabio.
出版者:	Cambridge :Cambridge University Press, : 2008.,
面頁冊數:	xiii, 440 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
內容註:	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.
標題:	Harmonic analysis. -
電子資源:	https://doi.org/10.1017/CBO9780511619823
ISBN:	9780511619823

Harmonic analysis on finite groups = representation theory, Gelfand pairs and Markov chains /
Ceccherini-Silberstein, Tullio.

Harmonic analysis on finite groupsrepresentation theory, Gelfand pairs and Markov chains /[electronic resource] :Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli. - Cambridge :Cambridge University Press,2008. - xiii, 440 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;108. - 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.

ISBN: 9780511619823Subjects--Topical Terms:

555704
Harmonic analysis.

LC Class. No.: QA403 / .C43 2008

Dewey Class. No.: 515.2433

Harmonic analysis on finite groups = representation theory, Gelfand pairs and Markov chains /
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500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $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 0 $a Harmonic analysis. $3 555704
650 0 $a Finite groups. $3 532025
700 1 $a Scarabotti, Fabio. $3 1299008
700 1 $a Tolli, Filippo, $d 1968- $3 1299009
830 0 $a Cambridge studies in advanced mathematics ; $v 108. $3 3470688
856 4 0 $u https://doi.org/10.1017/CBO9780511619823