Seminar series
Date
Fri, 07 Nov 2008
16:30
Location
L1
Speaker
Professor Ofer Zeitouni
Organisation
University of Minnesota and Weizmann Institute of Israel

A random environment (in Z^d) is a collection of (random) transition probabilities, indexed by sites. Perform now a random walk using these transitions. This model is easy to describe, yet presents significant challenges to analysis. In particular, even elementary questions concerning long term behavior, such as the existence of a law of large numbers, are open. I will review in this talk the model, its history, and recent advance, focusing on examples of unexpected behavior.

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