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Representation Theory, Dynamical Systems, and Asymptotic Combinatorics

About this Title

V. Kaimanovich, International University, Bremen, Bremen, Germany and A. Lodkin, St. Petersburg State University, St. Petersburg, Russia, Editors

Publication: American Mathematical Society Translations: Series 2
Publication Year: 2006; Volume 217
ISBNs: 978-0-8218-7289-5 (print); 978-1-4704-1824-3 (online)
DOI: https://doi.org/10.1090/trans2/217
MathSciNet review: MR2286117
MSC: Primary 00B55; Secondary 05-06, 20-06, 37-06, 46-06, 60-06

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Table of Contents

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Front/Back Matter

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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