Topics in Ergodic Theory (eBook)

Iakov Grigorevich Sinai (Autor)

eBook Download: PDF

2017
226 Seiten
Princeton University Press (Verlag)
978-1-4008-8725-5 (ISBN)

Infos

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.

Autor

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

Produkt-Details

• Erscheint lt. Verlag: 14.3.2017
• Reihe/Serie: Princeton Legacy Library
• Reihe/Serie: Princeton Legacy Library
• Reihe/Serie: Princeton Mathematical Series
• Reihe/Serie: Princeton Mathematical Series
• Zusatzinfo: 38 line illus.
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Schlagworte: analytic continuation • automorphism • Bifurcation Theory • Borel–Cantelli lemma • Calculation • Cauchy's Integral Formula • central limit theorem • Change of variables • Character group • Characterization (mathematics) • conditional entropy • Conditional probability • Continuous function (set theory) • Cyclic group • Derivative • Determinant • diffeomorphism • differential equation • Dimension • Dimension (vector space) • Dynamical system • Eigenfunction • Eigenvalues and Eigenvectors • Endomorphism • Equation • Ergodicity • ergodic theory • Even and odd functions • existential quantification • Feigenbaum constants • Frenet–Serret formulas • Fubini's Theorem • functional equation • Fundamental class • Fundamental lemma (Langlands program) • geodesic • Gibbs Measure • ground state • Haar measure • Hadamard's inequality • hamiltonian mechanics • hilbert space • Hyperbolic point • Indicator function • Infimum and supremum • Intrinsic metric • invariant measure • Invariant subspace • Inverse function • Lebesgue measure • Lebesgue Space • Linearization • Linear map • Liouville's theorem (Hamiltonian) • Lorenz System • manifold • Mathematical Induction • Measure (mathematics) • One-parameter group • ordinary differential equation • Periodic function • periodic point • Periodic sequence • Permutation • Perturbation theory (quantum mechanics) • Phase space • Piecewise • Poincaré recurrence theorem • Probability Distribution • probability measure • Probability Theory • Recurrence relation • Renormalization Group • Riemannian manifold • Rotation number • Schrödinger equation • scientific notation • Semigroup • Semilattice • Sign (mathematics) • Square-integrable function • Statistical Mechanics • stochastic • Subalgebra • SUBGROUP • submanifold • subsequence • Subset • Summation • symbolic dynamics • Symplectic Geometry • Tangent Space • Theorem • theory • Transitive relation • Unitary Operator • Unit tangent bundle • Variable (mathematics) • vector bundle • Vector field
• ISBN-10: 1-4008-8725-9 / 1400887259
• ISBN-13: 978-1-4008-8725-5 / 9781400887255