Monday, May 06, 2019
12:00 PM -
1:00 PM
Linde Hall 255
Math Graduate Student Seminar
Series: Math Graduate Seminar Series
Random walks, harmonic functions, 0-1 laws, and the Poisson boundary of groups
Joshua Frisch,
Department of Mathematics,
Caltech,
Random walks are probabilistic processes where you walk in a random direction in each time step. I'll discuss random walks on d-dimensional spaces and explain why every event which is asymptotic either always or never occurs. Surprisingly, based on a connection pointed out by Furstenberg, this turns out to be intimately related to discrete harmonic functions. Groups and convex analysis also play some intriguing roles.
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For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].