Arnold, V. I.; Avets, A. M. Ergodic problems of classical mechanics. II: Spectra of K-systems and the proof of the Lobachevskij-Hadamard and Sinai theorems. (Russian) Zbl 0487.70020 Differential equations and functional analysis, Collect. Artic., Vladivostok 1980, 110-182 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 1 Document MSC: 70G99 General models, approaches, and methods in mechanics of particles and systems 37D99 Dynamical systems with hyperbolic behavior 82B05 Classical equilibrium statistical mechanics (general) 37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) 53D25 Geodesic flows in symplectic geometry and contact geometry 37A30 Ergodic theorems, spectral theory, Markov operators 28D10 One-parameter continuous families of measure-preserving transformations Keywords:ergodic problems; K-systems; Lobachevskij-Hadamard and Sinai theorems Citations:Zbl 0462.00008 PDFBibTeX XML