Topics in Ergodic Theory

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.

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Info autore

Ya. G. Sinai is Professor of Mathematics at Princeton University.

Riassunto

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 dyn

Dettagli sul prodotto

• Autori: Iakov Grigorevich Sinai, Sinai Iakov Grigorevich
• Editore: Princeton University Press
• Lingue: Inglese
• Contenuto: Libro
• Forma del prodotto: Copertina rigida
• Data pubblicazione: 21.03.2017
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Geometria
• EAN: 9780691654980
• ISBN: 978-0-691-65498-0
• Numero di pagine: 226
• Serie: Princeton Legacy Library; Princeton Mathematical Series
• Categorie: Dimension, Theory, Theorem, equation, Permutation, Ergodic theory, Non-Euclidean geometry, MATHEMATICS / Geometry / Non-Euclidean, Schrödinger equation, Hilbert space, symplectic geometry, submanifold, vector bundle, probability measure, Renormalization group, central limit theorem, probability distribution, Riemannian manifold, stochastic, phase space, semigroup, symbolic dynamics, Lebesgue space, Recurrence Relation, mathematical induction, Bifurcation Theory, Linearization, Rotation number, Eigenfunction, Analytic continuation, Functional equation, automorphism, Hamiltonian Mechanics, dynamical system, ergodicity, Eigenvalues and Eigenvectors, Haar measure, Lebesgue measure, Variable (mathematics), Transitive relation, Subset, Subgroup, Dimension (vector space), Fundamental class, Existential quantification, Frenet–Serret formulas, Periodic Function, Perturbation theory (quantum mechanics), Cauchy's integral formula, Invariant subspace, Continuous function (set theory), Characterization (mathematics), Endomorphism, Indicator function, Infimum and supremum, Subsequence, Cyclic group, Fubini's theorem, Measure (mathematics), Geodesic, Invariant measure, Fundamental lemma (Langlands program), Periodic point, Hyperbolic point, Liouville's theorem (Hamiltonian), Piecewise, Intrinsic metric, Poincaré recurrence theorem, Borel–Cantelli lemma, Character group, Lorenz system, Feigenbaum constants