Department of Mathematics
Indian Institute of Science
Bangalore 560 012
SEMINAR
|
Speaker |
: |
Dr. Sunder Sethuraman |
| Affiliation | : | Iowa State University |
|
Subject Area |
: |
Mathematics
|
|
Venue |
: |
Lecture Hall - I, Dept of Mathematics
|
|
Time |
: |
3.00 pm
|
|
Date |
: |
June 29,2007 (Friday) |
|
Title |
: |
On a scaling limit for a tagged particle in some zero-range interacting systems |
| Abstract | : |
Informally, the ``zero-range'' particle system
follows a collection of dependent random walks on a lattice, each of which
interacts infinitesimally only with those particles already present at its
location. In this talk, we consider the asymptotics of a distinguished, or tagged particle in this interacting particle system. In particular, we discuss a ``nonequilibrium'' invariance principle, in one dimension when the transition rates are mean-zero, with respect to a diffusion whose coefficients depend on the ``hydrodynamic'' density. |