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math.DS2024
Proof of Wojtkowski's Falling Particle Conjecture
Nandor Simanyi
In this paper we present an unconditional proof of Wojtkowski's Ergodicity Conjecture for almost every system of 1D perfectly elastic balls falling down in a half line under consta…
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…