A ``transversal fundamental theorem for semi-dispersing billiards

From MaRDI portal
Publication:810969

DOI10.1007/BF02097105zbMath0734.58028MaRDI QIDQ810969

Domokos Szász, András Krámli, Nándor Simányi

Publication date: 1990

Published in: Communications in Mathematical Physics (Search for Journal in Brave)




Related Items

Steady-state electrical conduction in the periodic Lorentz gasUnnamed ItemPotentials on the two-torus for which the Hamiltonian flow is ergodicConditional proof of the Boltzmann-Sinai ergodic hypothesisThe \(K\)-property of 4D billiards with nonorthogonal cylindrical scatterersThe polygon quantum-billiard problemErgodic and statistical properties of piecewise linear hyperbolic automorphisms of the 2-torusBernoulli property for some hyperbolic billiardsProof of the Boltzmann-Sinai ergodic hypothesis for typical hard disk systemsRecurrence and higher ergodic properties for quenched random Lorentz tubes in dimension bigger than twoStatistical properties for flows with unbounded roof function, including the Lorenz attractorA theorem on ergodicity of two-dimensional hyperbolic billiardsApproximating multi-dimensional Hamiltonian flows by billiardsNew proof of Sinai's formula for the entropy of hyperbolic billard systems. Application to Lorentz gases and Bunimovich stadiumsThe ergodicity of a Hamiltonian system of two particles in an external fieldUsing integrability to produce chaos: Billiards with positive entropySemidispersing billiards with an infinite cusp. IIThe \(K\)-property of four billiard ballsErgodic systems of \(n\) balls in a billiard tableOn the \(K\)-property of some planar hyperbolic billiardsOn the Bernoulli property of planar hyperbolic billiardsErgodicity of classical billiard ballsErgodic properties of the discontinuous sawtooth mapThe \(K\)-property of \(N\) billiard balls. IUpgrading the local ergodic theorem for planar semi-dispersing billiardsMultidimensional hyperbolic billiardsLocal ergodicity for systems with growth properties including multi-dimensional dispersing billiardsStability in high dimensional steep repelling potentialsSemi-focusing billiards: ergodicityA local ergodic theorem for non-uniformly hyperbolic symplectic maps with singularitiesStatistical properties of the periodic Lorentz gas. Multidimensional caseStatistical properties of dynamical systems with singularities.Decay of correlations in one and two dimensions.The \(K\)-property of ``orthogonal cylindric billiards



Cites Work