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Mathematics Colloquium, Spring 2006

Michael Cranston
University of California at Irvine

Intermittency and the parabolic Anderson model

The Anderson model was introduced as a model for the behavior of electrons in crystals with impurities. In its parabolic form, it has proven to be a model for many interesting physical phenomena such as stellar magnetic fields, polymer dynamics and population growth models to name just a few. It exhibits a clumping phenomena called intermittency, which is in some sense the opposite of uniformity. It is the existence of widely spaced high peaks in a field (random function.) We will introduce the Anderson model, some of its applications and discuss the phenomenon of intermitency all at a nontechnical level.

Thursday, April 20, 2006, 245 Altgeld Hall, 4:00 p.m.


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