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Random walk on the torus October 11, 2011 (02:00 PM PDT - 03:00 PM PDT)
Parent Program: --
Location: MSRI: Baker Board Room
Speaker(s) Yves Benoist (Centre National de la Recherche Scientifique (CNRS))
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Let A and B be two-by-two volume preserving matrices with integer coefficients spanning a non-solvable group.
Let x be an irrational point on the 2-torus.
We toss A or B, apply it to x, get another irrational point y, do it again to y, get a point z, and again...
We prove that this random trajectory is almost surely equidistributed.
This is a joint work with JFQuint.

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