Proof of Wojtkowski's Falling Particle Conjecture

Abstract

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 constant gravitational acceleration. Namely, by introducing a new algebraic approach, we prove that almost every such system is (completely hyperbolic and) ergodic.

arXiv admin note: substantial text overlap with arXiv:2211.10874