From dynamical systems to statistical mechanics and back

DOI10.1016/0378-4371(86)90199-8zbMath0668.58050OpenAlexW2026681650WikidataQ101120114 ScholiaQ101120114MaRDI QIDQ1118239

Yakov G. Sinai, David Pierre Ruelle

Publication date: 1986

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(86)90199-8

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Dynamical systems and ergodic theory (37-XX)

Related Items (7)

On the zero mass limit of tagged particle diffusion in the 1-d Rayleigh-gas ⋮ Topological pressure for discontinuous semiflows and a variational principle for impulsive dynamical systems ⋮ Stochastic differential equations driven by deterministic chaotic maps: analytic solutions of the Perron–Frobenius equation ⋮ Variational principle for topological pressure on subsets of non-autonomous dynamical systems ⋮ Specification and thermodynamic properties of topological time-dependent dynamical systems ⋮ Specification and thermodynamical properties of semigroup actions ⋮ An open set of skew products with invariant multi-graphs and bony multi-graphs

Cites Work

• Unnamed Item
• An analogue of the prime number theorem for closed orbits of Axiom A flows
• One-dimensional classical massive particle in the ideal gas
• Bounds for the limiting variance of the heavy particle in \(R^ 1\)
• Principles for the design of billiards with nonvanishing Lyapunov exponents
• On the ergodic properties of nowhere dispersing billiards
• Ergodic theory of chaos and strange attractors

This page was built for publication: From dynamical systems to statistical mechanics and back