**ELISHA NETANYAHU
INSTITUTE OF ADVANCED STUDIES IN MATHEMATICS**

**DISTINGUISHED LECTURE
SERIES **

by

Professor Alain-Sol Sznitman

**ETH-Zentrum**

The lectures will be held in

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

**More on Random
Motions in Random Media**

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.