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Nilpotent Structures in Ergodic Theory, Bernard Host, Bryna Kra


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Автор: Bernard Host, Bryna Kra
Название:  Nilpotent Structures in Ergodic Theory
ISBN: 9781470447809
Издательство: Mare Nostrum (Eurospan)
Классификация:
ISBN-10: 1470447800
Обложка/Формат: Hardback
Страницы: 427
Вес: 0.25 кг.
Дата издания: 28.02.2019
Серия: Mathematical surveys and monographs
Язык: English
Размер: H 254 X W 178
Читательская аудитория: Professional and scholarly
Ключевые слова: Calculus & mathematical analysis
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Поставляется из: Англии
Описание: Nilsystems play a key role in the structure theory of measure preserving systems, arising as the natural objects that describe the behavior of multiple ergodic averages. This book is a comprehensive treatment of their role in ergodic theory, covering development of the abstract theory leading to the structural statements, applications of these results, and connections to other fields.Starting with a summary of the relevant dynamical background, the book methodically develops the theory of cubic structures that give rise to nilpotent groups and reviews results on nilsystems and their properties that are scattered throughout the literature. These basic ingredients lay the groundwork for the ergodic structure theorems, and the book includes numerous formulations of these deep results, along with detailed proofs. The structure theorems have many applications, both in ergodic theory and in related fields; the book develops the connections to topological dynamics, combinatorics, and number theory, including an overview of the role of nilsystems in each of these areas. The final section is devoted to applications of the structure theory, covering numerous convergence and recurrence results.The book is aimed at graduate students and researchers in ergodic theory, along with those who work in the related areas of arithmetic combinatorics, harmonic analysis, and number theory.
Дополнительное описание: Calculus and mathematical analysis


Introduction to ergodic theory,

Автор: Ya. Sinai,
Название: Introduction to ergodic theory,
ISBN: 0691081824 ISBN-13(EAN): 9780691081823
Издательство: Wiley
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Цена: 73920.00 T
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Описание: This monograph examines new areas of ergodic theory, describing entropy theory, elements of the renormalization group method in the theory of dynamical systems, the splitting of separatrices, and problems related to the theory of hyperbolic dynamical systems.

Quantization on nilpotent lie groups

Автор: Fischer, Veronique Ruzhansky, Michael V.
Название: Quantization on nilpotent lie groups
ISBN: 3319295578 ISBN-13(EAN): 9783319295572
Издательство: Springer
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Цена: 46570.00 T
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Описание: This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie groups in terms of their representations.

An Introduction to Ergodic Theory

Автор: Walters, Peter
Название: An Introduction to Ergodic Theory
ISBN: 0387951520 ISBN-13(EAN): 9780387951522
Издательство: Springer
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Цена: 52130.00 T
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Описание: The first part of this introduction to ergodic theory addresses measure-preserving transformations of probability spaces and covers such topics as recurrence properties and the Birkhoff ergodic theorem. The second part focuses on the ergodic theory of continuous transformations of compact metrizable spaces.

Ergodic Theory and Dynamical Systems: Proceedings of the Ergodic Theory Workshops at University of North Carolina at Chapel Hill, 2011-2012

Автор: Idris Assani
Название: Ergodic Theory and Dynamical Systems: Proceedings of the Ergodic Theory Workshops at University of North Carolina at Chapel Hill, 2011-2012
ISBN: 3110298139 ISBN-13(EAN): 9783110298130
Издательство: Walter de Gruyter
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Цена: 136310.00 T
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Описание: This is the proceedings of the workshop on recent developments in ergodic theory and dynamical systems on March 2011 and March 2012 at the University of North Carolina at Chapel Hill. The articles in this volume cover several aspects of vibrant research in ergodic theory and dynamical systems. It contains contributions to Teichmuller dynamics, interval exchange transformations, continued fractions, return times averages, Furstenberg Fractals, fractal geometry of non-uniformly hyperbolic horseshoes, convergence along the sequence of squares, adic and horocycle flows, and topological flows. These contributions illustrate the connections between ergodic theory and dynamical systems, number theory, harmonic analysis, probability, and algebra. Two surveys are included which give a nice introduction for interested young or senior researcher to some active research areas. Overall this volume provides a very useful blend of techniques and methods as well as directions of research on general convergence phenomena in ergodic theory and dynamical systems.

Ergodic Theory, Open Dynamics, and Coherent Structures

Автор: Wael Bahsoun; Christopher Bose; Gary Froyland
Название: Ergodic Theory, Open Dynamics, and Coherent Structures
ISBN: 1493904183 ISBN-13(EAN): 9781493904181
Издательство: Springer
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Цена: 139750.00 T
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Описание: This book is comprised of selected research articles developed from a workshop on Ergodic Theory, Probabilistic Methods and Applications, held in April 2012 at the Banff International Research Station.

Ergodic Theory, Open Dynamics, and Coherent Structures

Автор: Wael Bahsoun; Christopher Bose; Gary Froyland
Название: Ergodic Theory, Open Dynamics, and Coherent Structures
ISBN: 149394326X ISBN-13(EAN): 9781493943265
Издательство: Springer
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Цена: 102480.00 T
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Описание: This book is comprised of selected research articles developed from a workshop on Ergodic Theory, Probabilistic Methods and Applications, held in April 2012 at the Banff International Research Station.

Dynamical Systems, Ergodic Theory and Applications

Автор: L.A. Bunimovich; Ya.G. Sinai; S.G. Dani; R.L. Dobr
Название: Dynamical Systems, Ergodic Theory and Applications
ISBN: 364208561X ISBN-13(EAN): 9783642085611
Издательство: Springer
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Цена: 153720.00 T
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Описание: This EMS volume, the first edition of which was published as Dynamical Systems II, EMS 2, familiarizes the reader with the fundamental ideas and results of modern ergodic theory and its applications to dynamical systems and statistical mechanics.

Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. Oxtoby

Автор: Joseph Auslander, Aimee Johnson, Cesar E. Silva
Название: Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. Oxtoby
ISBN: 1470422999 ISBN-13(EAN): 9781470422998
Издательство: Mare Nostrum (Eurospan)
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Цена: 108110.00 T
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Описание: Contains articles covering a variety of topics in measurable, symbolic and complex dynamics. It also includes a survey article on the life and work of John Oxtoby, providing a source of information about the many ways Oxtoby`s work influenced mathematical thought in this and other fields.

Ergodic Behavior of Markov Processes

Автор: Kulik, Alexei
Название: Ergodic Behavior of Markov Processes
ISBN: 3110458705 ISBN-13(EAN): 9783110458701
Издательство: Walter de Gruyter
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Цена: 115060.00 T
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Описание: The general topic of this book is the ergodic behavior of Markov processes. A detailed introduction to methods for proving ergodicity and upper bounds for ergodic rates is presented in the first part of the book, with the focus put on weak ergodic rates, typical for Markov systems with complicated structure. The second part is devoted to the application of these methods to limit theorems for functionals of Markov processes. The book is aimed at a wide audience with a background in probability and measure theory. Some knowledge of stochastic processes and stochastic differential equations helps in a deeper understanding of specific examples. Contents Part I: Ergodic Rates for Markov Chains and ProcessesMarkov Chains with Discrete State SpacesGeneral Markov Chains: Ergodicity in Total VariationMarkovProcesseswithContinuousTimeWeak Ergodic Rates Part II: Limit TheoremsThe Law of Large Numbers and the Central Limit TheoremFunctional Limit Theorems

Weakly Wandering Sequences in Ergodic Theory

Автор: Stanley Eigen; Arshag Hajian; Yuji Ito; Vidhu Pras
Название: Weakly Wandering Sequences in Ergodic Theory
ISBN: 4431564004 ISBN-13(EAN): 9784431564003
Издательство: Springer
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Цена: 79190.00 T
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Описание: In time it was shown that ww and related sequences reflected significant and deep properties of ergodic transformations that preserve an infinite measure.This monograph studies in a systematic way the role of ww and related sequences in the classification of ergodic transformations preserving an infinite measure.


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