On some recent results for the Lorentz gas with infinite horizon

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• Dalia Terhesiu (Universiteit Leiden)
• Thursday 03 March 2022, 15:00-16:00
• Zoom.

If you have a question about this talk, please contact David Craven.

In the first part of the talk I will recall recent local limit results including the very recent result with Melbourne and Pene on local large deviation. In the second part, I recall the set up of 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, at some extent, 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 and I will comment on these.

This talk is part of the Topology and Dynamics seminar series.

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• School of Mathematics events
• Topology and Dynamics seminar
• Zoom

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