N. Simányi

activity

19962025

most citedProof of the Boltzmann-Sinai Ergodic Hypothesis for Typical Hard Disk Systems

63 citations · 266 across the 27 of their papers we have counts for

collaborators

Showing 2006Show all

3 papers · 1 filter

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 $N$ ( $\geq 2$ ) elastically colliding hard balls of masses $m_{1}, ..., m_{N}$ and radius $r$ on the flat unit torus $T^{ν}$ , $ν \geq 2$ . 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…