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Department of Mathematics,
University of California San Diego

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Math 288 - Probability and Statistics Seminar

Brian Hall

University of Notre Dame

Analysis on Lie groups from a probabilistic perspective

Abstract:

\indent I will discuss results in analysis on a compact Lie group that can be obtained using Brownian motion. These include a ``Hermite expansion" and an analog of the Segal-Bargmann transform. Both results can be understood by lifting Brownian motion in the group to Brownian motion in the Lie algebra. I will also briefly discuss an open problem concerning the infinite-dimensional limit of these results.

Host: Todd Kemp

October 20, 2011

10:00 AM

AP&M 6402

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