Levy diffusion for Lorentz gas with flat points

Date. January 15, 14h00m (UTC/GMT)

Speaker. Hong-Kun ZHANG (University of Massachusetts Amherst)

Title. Levy diffusion for Lorentz gas with flat points

Abstract.

We investigate the diffusion and statistical properties of Lorentz gas with cusps at flat points. The underlying dynamical systems are modifications of dispersing billiards with cusps. The systems generate stochastic processes with slow mixing rates of order $n^{-a$}, for $ a\in (0,1)$. We are able to show that these stochastic processes enjoy stable law and have super-diffusion driven by Levy processes.

Online Zoom meeting (Session will open some minutes before 14h00)
https://videoconf-colibri.zoom.us/j/83934356945?pwd=Mm01VHpudSs3Tm1VcG4zcEpINW83QT09

Meeting ID: 839 3435 6945

Password: 860296

Date and Venue

Start Date
Venue
Online seminar

Speaker

Hong-Kun ZHANG

Speaker's Institution

University of Massachusetts Amherst

Area

Dynamical Systems