Back to Departmental Colloquium: Spring 2005
Departmental Colloquium
Date: Thursday, Jan 20, 2005
Time: 4:15PM
Location: JWB 335
Special Colloquium Thursday
Limit Theorems for Random Walk in Random Environment: Particle Story
Title |
Limit Theorems for Random Walk in Random Environment: Particle Story |
Abstract |
Random walk in random environment (RWRE) is a basic model of the field of random media. It has been subject to extensive study in the past three decades. Many questions, although seemingly intuitive and simple, present great mathematical challenges. The point of view of the particle is a method that has proved very powerful in the treatment of many (reversible) particle systems. However, in the case of multi-dimensional (usually non-reversible) RWRE this method has been of very limited use until recently. We present new results showing that this method can be successfully extended to answer many important questions about RWRE, such as the law of large numbers, the central limit theorem, and large deviation principles. |
Probability