Back to Departmental Colloquium: Spring 2010
Departmental Colloquium
Date: Tuesday, Feb 9, 2010
Time: 4:15PM
Location: JWB 335
TUESDAY
Sunder Sethuraman
Iowa State University
Title |
Nonequilibrium limit for a tagged particle in a zero-range system |
Abstract |
The ‘zero-range’ interacting particle system, introduced in the 70’s, is a formal model of certain queues, traffic, and other physical phenomena. The system follows a collection of random walks on a lattice which interact in that the rate at which a particle jumps depends only on the occupation number of its location. Of interest is the asymptotic behavior of a distinguished, or tagged particle in the system. In this talk, we discuss a nonequilibrium limit for the tagged particle in one dimension when the transition probabilities are mean-zero. The limit process is a diffusion whose coefficients depend on the underlying hydrodynamic evolution of the mass density. |
Probability
Data Science and Machine Learning
Applied Mathematics