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Softcover ISBN:  9780821872895 
Product Code:  TRANS2/217.S 
List Price:  $169.00 
MAA Member Price:  $152.10 
AMS Member Price:  $135.20 
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Product Code:  TRANS2/217.E 
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MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
Softcover ISBN:  9780821872895 
eBook ISBN:  9781470418243 
Product Code:  TRANS2/217.S.B 
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MAA Member Price:  $300.60 $226.35 
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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 wellknown 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.

Table of Contents

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

BenZion Rubshtein — Minimal onesided Markov shifts and their cofiltrations

Klaus Schmidt — Quotients of $\ell ^{\infty }(\mathbb {Z},\mathbb {Z})$ and symbolic covers of toral automorphisms


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This volume, devoted to the 70th birthday of the wellknown 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

BenZion Rubshtein — Minimal onesided Markov shifts and their cofiltrations

Klaus Schmidt — Quotients of $\ell ^{\infty }(\mathbb {Z},\mathbb {Z})$ and symbolic covers of toral automorphisms