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List Price: | $169.00 |
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Book DetailsAmerican Mathematical Society Translations - Series 2Advances in the Mathematical SciencesVolume: 217; 2006; 246 ppMSC: Primary 00; 05; 22; 37
This volume, devoted to the 70th birthday of the well-known St. Petersburg mathematician A. M. Vershik, contains a collection of articles by participants in the conference “Representation Theory, Dynamical Systems, and Asymptotic Combinatorics”, held in St. Petersburg in June of 2004. The book is suitable for graduate students and researchers interested in combinatorial and dynamical aspects of group representation theory.
ReadershipGraduate students and research mathematicians interested in various aspects of group representation theory.
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Table of Contents
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Chapters
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Vladimir Arnold — Statistics of the symmetric group representations as a natural science question on asymptotics of Young diagrams
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Alexei Borodin and Grigori Olshanski — Stochastic dynamics related to Plancherel measure on partitions
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Alexander Bufetov, Yakov G. Sinai and Corinna Ulcigrai — A condition for continuous spectrum of an interval exchange transformation
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Ivan Fesenko — Several nonstandard remarks
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Gregory A. Freiman and Alexander A. Yudin — The interface between probability theory and additive number theory (local limit theorems and structure theory of set addition)
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Vladimir Ivanov — Plancherel measure on shifted Young diagrams
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Anthony Joseph — Results and problems in enveloping algebras arising from quantum groups
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Vadim Malyshev and Anatoli Manita — Asymptotic behaviour in the time synchronization model
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Yuri A. Neretin — Stable densities and operators of fractional differentiation
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William Parry and Mark Pollicott — Skew products and Livsic theory
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Mark Pollicott and Richard Sharp — Distribution of ergodic sums for hyperbolic maps
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Jean Renault — Transverse properties of dynamical systems
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Ben-Zion Rubshtein — Minimal one-sided Markov shifts and their cofiltrations
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Klaus Schmidt — Quotients of $\ell ^{\infty }(\mathbb {Z},\mathbb {Z})$ and symbolic covers of toral automorphisms
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
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This volume, devoted to the 70th birthday of the well-known St. Petersburg mathematician A. M. Vershik, contains a collection of articles by participants in the conference “Representation Theory, Dynamical Systems, and Asymptotic Combinatorics”, held in St. Petersburg in June of 2004. The book is suitable for graduate students and researchers interested in combinatorial and dynamical aspects of group representation theory.
Graduate students and research mathematicians interested in various aspects of group representation theory.
-
Chapters
-
Vladimir Arnold — Statistics of the symmetric group representations as a natural science question on asymptotics of Young diagrams
-
Alexei Borodin and Grigori Olshanski — Stochastic dynamics related to Plancherel measure on partitions
-
Alexander Bufetov, Yakov G. Sinai and Corinna Ulcigrai — A condition for continuous spectrum of an interval exchange transformation
-
Ivan Fesenko — Several nonstandard remarks
-
Gregory A. Freiman and Alexander A. Yudin — The interface between probability theory and additive number theory (local limit theorems and structure theory of set addition)
-
Vladimir Ivanov — Plancherel measure on shifted Young diagrams
-
Anthony Joseph — Results and problems in enveloping algebras arising from quantum groups
-
Vadim Malyshev and Anatoli Manita — Asymptotic behaviour in the time synchronization model
-
Yuri A. Neretin — Stable densities and operators of fractional differentiation
-
William Parry and Mark Pollicott — Skew products and Livsic theory
-
Mark Pollicott and Richard Sharp — Distribution of ergodic sums for hyperbolic maps
-
Jean Renault — Transverse properties of dynamical systems
-
Ben-Zion Rubshtein — Minimal one-sided Markov shifts and their cofiltrations
-
Klaus Schmidt — Quotients of $\ell ^{\infty }(\mathbb {Z},\mathbb {Z})$ and symbolic covers of toral automorphisms