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math.DS2010
Homotopical Complexity of 2D Billiard Orbits
Lee M. Goswick, Nandor Simanyi
Traditionally, rotation numbers for toroidal billiard flows are defined as the limiting vectors of average displacements per time on trajectory segments. The billard trajectories,…
math.DS2010★ 3 cited
The Boltzmann--Sinai Ergodic Hypothesis In Full Generality
Nandor Simanyi
In the ergodic theory of semi-dispersing billiards the Local Ergodic Theorem, proved by Chernov and Sinai in 1987, plays a central role. So far, all existing proofs of this theorem…