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

Автор: David Damanik, Jake Fillman
Название: One-Dimensional Ergodic Schrodinger Operators: I. General Theory
ISBN: 1470456060 ISBN-13(EAN): 9781470456061
Издательство: Mare Nostrum (Eurospan)
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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.

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)
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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.

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
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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

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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Описание: The second edition of this book consists of three parts.

Автор: Fibich Gadi
Название: Nonlinear Schrodinger Equation
ISBN: 3319127470 ISBN-13(EAN): 9783319127477
Издательство: Springer
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Описание: The Nonlinear Schrodinger Equation

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
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Цена: 12532.00 р.
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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

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
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Цена: 41276.00 р.
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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: 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

Автор: Ya. Sinai,
Название: Introduction to ergodic theory,
ISBN: 0691081824 ISBN-13(EAN): 9780691081823
Издательство: Wiley
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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.

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: 5487.00 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.

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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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.