Probability Seminar: The Atlas model, in and out of equilibrium

Probability Seminar: The Atlas model, in and out of equilibrium

Probability Seminar
Mar 18, 2015, 03:10 PM - 04:00 PM | 1011 Evans Hall | Happening As Scheduled
Amir Dembo, Stanford University
This talk is about the long-range asymptotic behavior of one-dimensional semi-infinite system of Brownian particles, starting at Poisson(L) point process on the positive half-line, with the left-most (Atlas) particle endowed a unit drift to the right. Pal and Pitman (2008) prove that particle gaps are at equilibrium when L=2. We show that the particle asymptotic Gaussian space-time...