Date: Saturday, March 30, 2013
Location: B 844 (10:15 AM to 11:00 AM)
Title: Geodesic ray tracking for random walks on groups
Abstract: Given a finitely generated group G acting on a geodesic space X and a probability measure
on G, one can construct a random walk by choosing at each step a random group element and letting it act on X. The natural question arises whether the sample paths can be approximated by some geodesic in X. We will prove that, in a quite general setting, the sample path and the limiting geodesic lie within sublinear distance. Our argument applies to the case of the mapping class group acting on Teichmueller space, answering a question of Kaimanovich. Another application includes the statistics of excursions of random Teichmueller geodesics in the thin part of moduli space.
Speaker: Giulio Tiozzo
Institution: Harvard U
Event Organizer: Spatzier
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