Dynamics of the no-slip Galton board

J Ahmed, T Chumley, S Cook, C Cox, H Grant… - arXiv preprint arXiv …, 2022 - arxiv.org
The ideal Galton board and Lorentz gas billiard models have been studied numerically and
analytically primarily in settings where friction and rotational velocity are neglected. We …

Semi-deterministic processes with applications in random billiards

P Rudzis - arXiv preprint arXiv:2401.00378, 2023 - arxiv.org
We study the ergodic properties of two classes of random dynamical systems: a type of
Markov chain which we call the\textit {alternating random walk} and a certain stochastic …

No-slip billiards with particles of variable mass distribution

J Ahmed, C Cox, B Wang - Chaos: An Interdisciplinary Journal of …, 2022 - pubs.aip.org
Astute variations in the geometry of mathematical billiard tables have been and continue to
be a source of understanding their wide range of dynamical behaviors, from regular to …

Geometry and Dynamics of Rolling Systems

B Zhao - 2022 - search.proquest.com
1.1 Background Typically in the literature of dynamical systems, the term “billiard system” is
generally understood as a point particle on a planar domain that satisfies the specular …