Seminar on Hydrodynamic Limits for Interacting Particle Systems

Spring 2003

A VIGRE Hot Topics Seminar for graduate students, postdocs, and faculty

Organizers: Josh Rushton and Timo Seppäläinen

Time: Mondays 2:30-3:45. Place: Van Vleck B219.

J. Rushton has lectured on the zero-range process from the monograph of C. Kipnis and C. Landim.

The seminar is concluded by a lecture or two on last-passage models, tandem queues and exclusion/zero-range processes, by T. Seppalainen.

Interacting particle systems is a part of probability theory that studies dynamical stochastic models with interaction among a large number of components. Hydrodynamic limits describe the behavior of such systems on large space and time scales, often in terms of deterministic partial differential equations.

In the seminar we plan to work through a series of lectures by S. R. S. Varadhan from a Fields Institute volume Hydrodynamic Limits and Related Topics, published by the American Mathematical Society.

List of Tentative Participants