Proof of the Boltzmann-Sinai ergodic hypothesis for typical hard disk systems

DOI10.1007/s00222-003-0304-9zbMath1109.82003arXivmath/0008241OpenAlexW2061359008MaRDI QIDQ1411979

Nándor Simányi

Publication date: 4 November 2003

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0008241

zbMATH Keywords

ergodicitybilliardsmixinghard ball systemsBoltzmann's ergodic hypothesis

Mathematics Subject Classification ID

Related Items (10)

Conditional proof of the Boltzmann-Sinai ergodic hypothesis ⋮ On choosing between deterministic and indeterministic models: underdetermination and indirect evidence ⋮ Deterministic approach to the kinetic theory of gases ⋮ On the observational equivalence of continuous-time deterministic and indeterministic descriptions ⋮ On topological entropy of billiard tables with small inner scatterers ⋮ Upgrading the local ergodic theorem for planar semi-dispersing billiards ⋮ Stable regimes for hard disks in a channel with twisting walls ⋮ On statistical properties of hyperbolic systems with singularities ⋮ Book Review: Chaotic billiards ⋮ A rigorous derivation of Haff's Law for a periodic two-disk fluid

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