×

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).

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

Citations:

Zbl 0462.00008