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Recurrence in ergodic theory and combinatorial number theory, Furstenberg, Harry


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Автор: Furstenberg, Harry
Название:  Recurrence in ergodic theory and combinatorial number theory
ISBN: 9780691642840
Издательство: Wiley
Классификация:

ISBN-10: 0691642842
Обложка/Формат: Hardcover
Страницы: 216
Вес: 0.62 кг.
Дата издания: 19.04.2016
Серия: Princeton legacy library
Язык: English
Размер: 25.40 x 17.81 x 1.42 cm
Читательская аудитория: Tertiary education (us: college)
Ссылка на Издательство: Link
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Поставляется из: Англии
Описание:

Topological dynamics and ergodic theory usually have been treated independently. H. Furstenberg, instead, develops the common ground between them by applying the modern theory of dynamical systems to combinatories and number theory.

Originally published in 1981.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.




Recurrence Quantification Analysis

Автор: Charles L. Webber, Jr.; Norbert Marwan
Название: Recurrence Quantification Analysis
ISBN: 3319071548 ISBN-13(EAN): 9783319071541
Издательство: Springer
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Цена: 13275.00 р.
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Описание: The analysis of recurrences in dynamical systems by using recurrence plots and their quantification is still an emerging field.

Ergodic Theory: Advances in Dynamical Systems

Автор: Idris Assani
Название: Ergodic Theory: Advances in Dynamical Systems
ISBN: 3110460866 ISBN-13(EAN): 9783110460865
Издательство: Walter de Gruyter
Цена: 20446.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This monograph discusses recent advances in ergodic theory and dynamical systems. As a mixture of survey papers of active research areas and original research papers, this volume attracts young and senior researchers alike. Contents:Duality of the almost periodic and proximal relationsLimit directions of a vector cocycle, remarks and examplesOptimal norm approximation in ergodic theoryThe iterated Prisoner’s Dilemma: good strategies and their dynamicsLyapunov exponents for conservative twisting dynamics: a surveyTakens’ embedding theorem with a continuous observable

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: 11088.00 р.
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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.

Ergodic Properties of Algebraic Fields

Автор: M.S. Keane; Yurij V. Linnik
Название: Ergodic Properties of Algebraic Fields
ISBN: 3642866336 ISBN-13(EAN): 9783642866333
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Constructing "flows" of integral points on certain algebraic manifolds given by systems of integral polynomials, we are able to prove individual ergodic theorems and mixing theorems in certain cases.

Recurrence in Ergodic Theory and Combinatorial Number Theory

Автор: Furstenberg Harry
Название: Recurrence in Ergodic Theory and Combinatorial Number Theory
ISBN: 0691615365 ISBN-13(EAN): 9780691615363
Издательство: Wiley
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Цена: 6336.00 р.
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Описание: Topological dynamics and ergodic theory usually have been treated independently. H. Furstenberg, instead, develops the common ground between them by applying the modern theory of dynamical systems to combinatories and number theory. Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make

Fuzzy Recurrence Plots and Networks with Applications in Biomedicine

Автор: Tuan D. Pham
Название: Fuzzy Recurrence Plots and Networks with Applications in Biomedicine
ISBN: 3030375293 ISBN-13(EAN): 9783030375294
Издательство: Springer
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Цена: 11878.00 р.
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Описание:

This book presents an original combination of three well-known methodological approaches for nonlinear data analysis: recurrence, networks, and fuzzy logic.

After basic concepts of these three approaches are introduced, this book presents recently developed methods known as fuzzy recurrence plots and fuzzy recurrence networks. Computer programs written in MATLAB, which implement the basic algorithms, are included to facilitate the understanding of the developed ideas. Several applications of these techniques to biomedical problems, ranging from cancer and neurodegenerative disease to depression, are illustrated to show the potential of fuzzy recurrence methods.

This book opens a new door to theorists in complex systems science as well as specialists in medicine, biology, engineering, physics, computer science, geosciences, and social economics to address issues in experimental nonlinear signal and data processing.

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: 17259.00 р.
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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

Infinite Ergodic Theory of Numbers

Автор: Sara Munday, Marc Kessebohmer, Bernd Otto Stratmann
Название: Infinite Ergodic Theory of Numbers
ISBN: 3110439417 ISBN-13(EAN): 9783110439410
Издательство: Walter de Gruyter
Цена: 9288.00 р.
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Описание: By connecting dynamical systems and number theory, this graduate textbook on ergodic theory acts as an introduction to a highly active area of mathematics, where a variety of strands of research open up. The text explores various concepts in infinite ergodic theory, always using continued fractions and other number-theoretic dynamical systems as illustrative examples. Contents:PrefaceMathematical symbolsNumber-theoretical dynamical systemsBasic ergodic theoryRenewal theory and ?-sum-level setsInfinite ergodic theoryApplications of infinite ergodic theoryBibliographyIndex

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: 15372.00 р.
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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

Автор: Manfred Einsiedler; Thomas Ward
Название: Ergodic Theory
ISBN: 1447125916 ISBN-13(EAN): 9781447125914
Издательство: Springer
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Цена: 9083.00 р.
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Описание: This text is a rigorous introduction to Ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence. It describes some recent applications to number theory, and goes beyond the standard texts in this topic.

Smooth Ergodic Theory of Random Dynamical Systems

Автор: Pei-Dong Liu; Min Qian
Название: Smooth Ergodic Theory of Random Dynamical Systems
ISBN: 3540600043 ISBN-13(EAN): 9783540600046
Издательство: Springer
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Цена: 6288.00 р.
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Описание: This text studies ergodic-theoretic aspects of random dynamical systems, for example, deterministic systems with noise. It aims to present a systematic treatment of a series of recent results concerning invariant measures, entropy and Lyapunov exponents of such systems.


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