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Agnieszka Zelerowicz: Lorentz gases on aperiodic tilings

Time: Thu 2022-02-03 14.00

Location: Location: Zoom meeting ID:

Participating: Agnieszka Zelerowicz

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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.