Proof of Wojtkowski's Falling Particle Conjecture
Dynamical Systems
2024-07-18 v1
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.
Cite
@article{arxiv.2407.12033,
title = {Proof of Wojtkowski's Falling Particle Conjecture},
author = {Nandor Simanyi},
journal= {arXiv preprint arXiv:2407.12033},
year = {2024}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2211.10874