63 citations · 266 across the 27 of their papers we have counts for
Showing 2006 · math.DSShow all
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math.DS2006
Homotopical Rotation Numbers of 2D Billiards
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. Naturally, these creatures…
math.DS2006★ 17 cited
Conditional Proof of the Boltzmann-Sinai Ergodic Hypothesis
Nandor Simanyi
We consider the system of () elastically colliding hard balls of masses and radius on the flat unit torus , . We prove the so called Bo…
math.DS2006★ 4 cited
Flow-invariant hypersurfaces in semi-dispersing billiards
N. Chernov, N. Simanyi
This work results from our attempts to solve Boltzmann-Sinai's hypothesis about the ergodicity of hard ball gases. A crucial element in the studies of the dynamics of hard balls is…