Statistical properties of Lorentz gases on aperiodic tilings, Part 1
arXiv:2106.12550 · doi:10.1007/s00220-022-04493-9
Abstract
We consider the Lorentz gas model of category A (that is, with no corners and of finite horizon) on aperiodic repetitive tilings of 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.
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