Room 232
Amado Mathematics Building
Technion - Israel Institute of Technology
Haifa, Israel

Lecture I:  Monday, 15 March 2004  at 15:30

Random Motions in Random Media

Models of particles moving randomly in disordered environments have been considered in a number of physical sciences. Their mathematical analysis has been very active over the last thirty years and has uncovered a number of surprising effects and behaviors that were not foreseen. This lecture, aimed at a general audience, will discuss some of these models and some of these effects

Lecture II:  Tuesday, 16 March 2004  at 15:30

Walk on the Infinite Cluster and Invariance Principle

In this lecture we discuss random walk on the supercritical cluster of bond percolation on Z^d as well as random walk among random conductances between nearest neighbors on Z^d. We describe central limits theorems valid for typical realizations of the environment.

Lecture III:  Wednesday, 17 March 2004  at 15:30

In this lecture we will discuss some of the results recently obtained on certain multi-dimensional random motions in random media. The lecture will also survey a number of currently open problems.