Inversion number and collisions in some billiard systems

DOI10.1007/s10955-009-9846-6zbMath1179.82093OpenAlexW2106643074MaRDI QIDQ1047144

Lizhou Chen

Publication date: 4 January 2010

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

Full work available at URL: https://doi.org/10.1007/s10955-009-9846-6

zbMATH Keywords

billiardpolyhedral coneinversion numberelastic collisionhard ball

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22)

Cites Work

• Uniform estimates on the number of collisions in semi-dispersing billiards
• Estimate of the number of collisions of \(n\) elastic particles on a line
• Proof of Murphy-Cohen conjecture on one-dimensional hard ball systems
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