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Monday, May 06, 2019
12:00 PM - 1:00 PM
Linde Hall 255

Math Graduate Student Seminar

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.

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.