Special Probability Seminar

Date
2016/04/01 Fri 14:30 - 17:00
Room
3号館108号室
Speaker
Balint Toth$^1$; Wendelin Werner$^2$
Affiliation
Bristol and Budapest$^1$; ETH$^2$
Abstract

14:40-15:40
Balint Toth (Bristol and Budapest)
Title: Central limit theorem for random walk in doubly stochastic random environment
Abstract: I will show a central limit theorem under diffusive scaling for the displacement of a random walk on $Z^d$ in stationary doubly stochastic random environment, under the $H_{-1}$-condition imposed on the drift field. The condition is equivalent to assuming that the stream tensor corresponding to the (divergence-free) drift filed be stationary and square integrable. This set-up models the motion of particles in stationary incompressible turbulent flow. The talk will be based on joint work with Gady Kozma.

16:00-17:00
Wendelin Werner (ETH)
Title: The continuous Edwards-Sokal correspondence for conformal loop ensembles.