Balint Andras Toth, University of Bristol and Alfréd Rényi Institute of Mathematics, Hungary

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Balint Andras Toth, University of Bristol and Alfréd Rényi Institute of Mathematics, Hungary

February 28 @ 6:00 pm - 7:00 pm UTC+4

Title: (Towards an) Invariance Principle for the Random Lorentz Gas under Weak Coupling Limit Beyond the Kinetic Time Scale

Abstract: Kesten-Papanicolaou (1980) proved that in the weak coupling limit the random Lorentz-gas process with soft scatterers converges to the Spherical Langevin Process. Under a second, diffusive limit the spatial component of the Spherical Langevin Process converges to Brownian motion. Komorowski-Ryzhik (2006) proved that combining the weak coupling and diffusive limits, the Brownian motion is obtained, at least for a time horizon slightly beyond the kinetic time-scale. We attempt to extend this last result robustly for time scales way beyond the kinetic one.  (Work in progress.)

Details

Date:
February 28
Time:
6:00 pm - 7:00 pm UTC+4