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Topics in Ergodic Theory
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Iakov Grigorevich Sinai
Language:
English
Published/Copyright:
1993
About this book
This book concerns areas of ergodic theory that are now being intensively developed. The topics include entropy theory (with emphasis on dynamical systems with multi-dimensional time), elements of the renormalization group method in the theory of dynamical systems, splitting of separatrices, and some problems related to the theory of hyperbolic dynamical systems.
Originally published in 1993.
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.
Author / Editor information
Ya. G. Sinai is Professor of Mathematics at Princeton University.
Reviews
"No other book that I can think of covers this range of topics with the level of clarity that this book does.... I can't imagine a better choice than this book for someone wanting to come up to speed with modern developments in mathematical ergodic theory."
Topics
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Part I. General Ergodic Theory
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Part II. Entropy Theory of Dynamical Systems
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Part III. One-Dimensional Dynamics
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Part IV. Two-Dimensional Dynamics
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135 |
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Part V. Elements of the Theory of Hyperbolic Dynamical Systems
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Publishing information
Pages and Images/Illustrations in book
eBook published on:
March 14, 2017
eBook ISBN:
9781400887255
Pages and Images/Illustrations in book
Main content:
226
Other:
38 line illus.
eBook ISBN:
9781400887255
Keywords for this book
Theorem; Ergodic theory; Automorphism; Dynamical system; Existential quantification; Lebesgue measure; Endomorphism; Measure (mathematics); Dimension; Eigenfunction; Mathematical induction; Invariant measure; Recurrence relation; Fubini's theorem; Fundamental lemma (Langlands program); Bifurcation theory; Probability measure; Eigenvalues and eigenvectors; Central limit theorem; Hilbert space; Phase space; Cauchy's integral formula; Poincaré recurrence theorem; Borel–Cantelli lemma; Hamiltonian mechanics; Liouville's theorem (Hamiltonian); Cyclic group; Feigenbaum constants; Schrödinger equation; Continuous function (set theory); Geodesic; Rotation number; Probability distribution; Submanifold; Frenet–Serret formulas; Lebesgue space; Periodic point; Perturbation theory (quantum mechanics); Characterization (mathematics); Subgroup; Functional equation; Riemannian manifold; Symplectic geometry; Semigroup; Permutation; Indicator function; Renormalization group; Variable (mathematics); Equation; Infimum and supremum; Ergodicity; Haar measure; Subsequence; Dimension (vector space); Symbolic dynamics; Subset; Periodic function; Fundamental class; Stochastic; Lorenz system; Theory; Vector bundle; Transitive relation; Analytic continuation; Character group; Intrinsic metric; Linearization; Invariant subspace; Hyperbolic point; Piecewise
Audience(s) for this book
College/higher education;Professional and scholarly;
