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One-Dimensional Ergodic Schrodinger Operators: I. General Theory, David Damanik, Jake Fillman


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Автор: David Damanik, Jake Fillman
Название:  One-Dimensional Ergodic Schrodinger Operators: I. General Theory
ISBN: 9781470470869
Издательство: Mare Nostrum (Eurospan)
Классификация:

ISBN-10: 1470470861
Обложка/Формат: Paperback
Страницы: 444
Вес: 0.80 кг.
Дата издания: 30.06.2022
Серия: Graduate studies in mathematics
Язык: English
Размер: 180 x 258 x 30
Ключевые слова: Calculus & mathematical analysis,Differential calculus & equations
Подзаголовок: I. general theory
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Поставляется из: Англии
Описание: The theory of one-dimensional ergodic operators involves a beautiful synthesis of ideas from dynamical systems, topology, and analysis. Additionally, this setting includes many models of physical interest, including those operators that model crystals, disordered media, or quasicrystals. This field has seen substantial progress in recent decades, much of which has yet to be discussed in textbooks.Beginning with a refresher on key topics in spectral theory, this volume presents the basic theory of discrete one-dimensional Schrodinger operators with dynamically defined potentials. It also includes a self-contained introduction to the relevant aspects of ergodic theory and topological dynamics.This text is accessible to graduate students who have completed one-semester courses in measure theory and complex analysis. It is intended to serve as an introduction to the field for junior researchers and beginning graduate students as well as a reference text for people already working in this area. It is well suited for self-study and contains numerous exercises (many with hints).
Дополнительное описание: Calculus and mathematical analysis|Differential calculus and equations


Semi-Classical Analysis for Nonlinear Schrodinger Equations: Wkb Analysis, Focal Points, Coherent States (Second Edition)

Автор: Carles Remi
Название: Semi-Classical Analysis for Nonlinear Schrodinger Equations: Wkb Analysis, Focal Points, Coherent States (Second Edition)
ISBN: 981122790X ISBN-13(EAN): 9789811227905
Издательство: World Scientific Publishing
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Цена: 116160.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The second edition of this book consists of three parts.

Nonlinear Schrodinger Equation

Автор: Fibich Gadi
Название: Nonlinear Schrodinger Equation
ISBN: 3319127470 ISBN-13(EAN): 9783319127477
Издательство: Springer
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Цена: 74530.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The Nonlinear Schrodinger Equation

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: 61920.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
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

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.

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: 41920.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
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.

One-Dimensional Ergodic Schrodinger Operators: I. General Theory

Автор: David Damanik, Jake Fillman
Название: One-Dimensional Ergodic Schrodinger Operators: I. General Theory
ISBN: 1470456060 ISBN-13(EAN): 9781470456061
Издательство: Mare Nostrum (Eurospan)
Рейтинг:
Цена: 118270.00 T
Наличие на складе: Нет в наличии.
Описание: Beginning with a refresher on key topics in spectral theory, this volume presents the basic theory of discrete one-dimensional Schrodinger operators with dynamically defined potentials. It also includes a self-contained introduction to the relevant aspects of ergodic theory and topological dynamics.

Global Dynamics Above the Ground State Energy for the Combined Power-Type Nonlinear Schrodinger Equations with Energy-Critical Growth at Low Frequencies

Автор: Hayato Nawa, Hiroaki Kikuchi, Slim Ibrahim, Takafumi Akahori
Название: Global Dynamics Above the Ground State Energy for the Combined Power-Type Nonlinear Schrodinger Equations with Energy-Critical Growth at Low Frequencies
ISBN: 1470448726 ISBN-13(EAN): 9781470448721
Издательство: Mare Nostrum (Eurospan)
Рейтинг:
Цена: 80390.00 T
Наличие на складе: Нет в наличии.
Описание: Focuses on the combined power-type nonlinear Schrodinger equations with energy-critical growth, and studies the solutions slightly above the ground state threshold at low frequencies to obtain a so-called nine-set theory developed by Nakanishi and Schlag.

Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations: Bounds on Eigenfunctions of N-Body Schrodinger Operations. (MN-29)

Автор: Agmon Shmuel
Название: Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations: Bounds on Eigenfunctions of N-Body Schrodinger Operations. (MN-29)
ISBN: 0691613672 ISBN-13(EAN): 9780691613673
Издательство: Wiley
Рейтинг:
Цена: 31680.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Mathematical Notes, 29 Originally published in 1983. 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 paper

Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations: Bounds on Eigenfunctions of N-Body Schrodinger Operations. (Mn-29)

Автор: Agmon Shmuel
Название: Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations: Bounds on Eigenfunctions of N-Body Schrodinger Operations. (Mn-29)
ISBN: 0691641420 ISBN-13(EAN): 9780691641423
Издательство: Wiley
Рейтинг:
Цена: 83550.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Mathematical Notes, 29 Originally published in 1983. 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 paper

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
Рейтинг:
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.

Ergodic Theory - Finite and Infinite, Thermodynamic Formalism, Symbolic Dynamics and Distance Expanding Maps

Автор: Urbański Roy Munday Mariusz Mario
Название: Ergodic Theory - Finite and Infinite, Thermodynamic Formalism, Symbolic Dynamics and Distance Expanding Maps
ISBN: 3110702649 ISBN-13(EAN): 9783110702644
Издательство: Walter de Gruyter
Рейтинг:
Цена: 275170.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

The book contains a detailed treatment of thermodynamic formalism on general compact metrizable spaces. Topological pressure, topological entropy, variational principle, and equilibrium states are presented in detail. Abstract ergodic theory is also given a significant attention. Ergodic theorems, ergodicity, and Kolmogorov-Sinai metric entropy are fully explored. Furthermore, the book gives the reader an opportunity to find rigorous presentation of thermodynamic formalism for distance expanding maps and, in particular, subshifts of finite type over a finite alphabet. It also provides a fairly complete treatment of subshifts of finite type over a countable alphabet. Transfer operators, Gibbs states and equilibrium states are, in this context, introduced and dealt with. Their relations are explored. All of this is applied to fractal geometry centered around various versions of Bowen’s formula in the context of expanding conformal repellors, limit sets of conformal iterated function systems and conformal graph directed Markov systems. A unique introduction to iteration of rational functions is given with emphasize on various phenomena caused by rationally indifferent periodic points. Also, a fairly full account of the classicaltheory of Shub’s expanding endomorphisms is given; it does not have a book presentation in English language mathematical literature.


Автор: Eli Glasner
Название: Ergodic Theory via Joinings
ISBN: 1470419513 ISBN-13(EAN): 9781470419516
Издательство: Mare Nostrum (Eurospan)
Рейтинг:
Цена: 107850.00 T
Наличие на складе: Невозможна поставка.
Описание: This book is an introduction to modern ergodic theory. It emphasizes a new approach that relies on the technique of joining two (or more) dynamical systems. This approach has proved to be fruitful in many recent works, and this is the first time that the entire theory is presented from a joining perspective.Another new feature of the book is the presentation of basic definitions of ergodic theory in terms of the Koopman unitary representation associated with a dynamical system and the invariant mean on matrix coefficients, which exists for any acting groups, amenable or not. Accordingly, the first part of the book treats the ergodic theory for an action of an arbitrary countable group.The second part, which deals with entropy theory, is confined (for the sake of simplicity) to the classical case of a single measure-preserving transformation on a Lebesgue probability space.The book is intended for graduate students who have a good command of basic measure theory and functional analysis and who would like to master the subject. It contains many detailed examples and many exercises, usually with indications of solutions. It can serve equally well as a textbook for graduate courses or as a streamlined introduction for non-specialists who wish to learn about modern aspects of ergodic theory.


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