Agnieszka Zelerowicz: Lorentz gases on aperiodic tilings

Abstract: In this joint work with Rodrigo Treviño we consider the Lorentz gas model of category A (that is, with no corners and of finite-horizon) on aperiodic repetitive tilings of $\mathbb{R}^2$ of finite local complexity. We show that the compact factor of the collision map has the K property, from which we derive mixing for pattern-equivariant functions as well as the planar ergodicity of the Lorentz gas flow.