3:00 p.m., Friday (February 3, 2006)

MATX 1100

Frank den Hollander
University of Leiden, EURANDOM

Random walk in random scenery

In this talk we address the question: ``What do you see when you randomly move through a random landscape?''. Specifically, we consider the example of a random walk on the d-dimensional integer lattice whose sites are colored black or white in some random fashion. We look at the sequence of colors the walk encounters on its way (the ``color record''). We show that this random sequence has some remarkable ergodic properties, depending on the dimension d and on the way in which the lattice is randomly colored.

Refreshments will be served at 2:45 p.m. (MATX 1115, Math Lounge).

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