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 2005Show all

3 papers · 1 filter

math.DS2005★ 1 cited

The Boltzmann-Sinai Ergodic Hypothesis in Full Generality (Without Exceptional Models)

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.DS2005★ 13 cited

Rotation sets of billiards with one obstacle

A. Blokh, M. Misiurewicz, N. Simanyi

We investigate the rotation sets of billiards on the $m$ -dimensional torus with one small convex obstacle and in the square with one small convex obstacle. In the first case the di…

math.MG2005★ 4 cited

A Note on the Size of the Largest Ball Inside a Convex Polytope

Imre Barany, Nandor Simanyi

Let $m > 1$ be an integer, $B_{m}$ the set of all unit vectors of $R^{m}$ pointing in the direction of a nonzero integer vector of the cube $[- 1, 1]^{m}$ . Denote by $s_{m}$ the radius o…