### On periodic Lorentz gases with small scatterers

Ergodic Theory and Dynamical Systems Seminar

4th November 2021, 2:00 pm – 3:00 pm

Online, Zoom (talk will be broadcast in 2.04 Fry Building)

We study Lorentz gases with scatterer size going to zero. In joint work with Balint and Bruin, we obtain a precise understanding of the allowed path of taking limits as the size of the scatterers goes to zero and time goes to infinity so that the Central Limit Law (with non-standard normalization) persists. This type of joint law is in the gist of Boltzmann–Grad limit. Further we obtain joint local limit theorems and mixing as the size of the scatterers goes to zero and time goes to infinity.

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