Skip to main content

Agnieszka Zelerowicz: Lorentz gases on aperiodic tilings

Time: Thu 2022-02-03 14.00

Location: Location: Zoom meeting ID: https://kth-se.zoom.us/j/61173989405

Lecturer: Agnieszka Zelerowicz

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.