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The \(K\)-property of 4D billiards with nonorthogonal cylindrical scatterers

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Publication:1906366
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DOI10.1007/BF02188676zbMath0840.58028MaRDI QIDQ1906366

Domokos Szász, Nándor Simányi

Publication date: 7 July 1996

Published in: Journal of Statistical Physics (Search for Journal in Brave)


zbMATH Keywords

hyperbolic dynamical systemslocal ergodicitycylindric billiardshard-ball systemscylindric scatterersglobal ergodicitysemidispersing billiards


Mathematics Subject Classification ID

Ergodic theory (37A99)


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



Cites Work

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  • Ergodicity of classical billiard balls
  • A ``transversal fundamental theorem for semi-dispersing billiards
  • The \(K\)-property of four billiard balls
  • Ergodic systems of \(n\) balls in a billiard table
  • The \(K\)-property of \(N\) billiard balls. I
  • The K-property of three billiard balls
  • Ergodic properties of semi-dispersing billiards. I. Two cylindric scatterers in the 3D torus
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