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Events for October 9, 2017 from General and Seminar calendars

Probability Seminar

Time: 10:00AM - 4:00PM

Location: BLOC 220

Speaker: Eviatar Procaccia and Yuan Zhang, TAMU

Title: On covering monotonic paths with simple random walk

Abstract: We study the probability that a $d$ dimensional simple random walk (or the first $L$ steps of it) covers each point in a nearest neighbor path connecting 0 and the boundary of an $L_1$ ball. We show that among all such paths, the one that maximizes the covering probability is the monotonic increasing one that stays within distance 1 from the diagonal. As a result, we can obtain an exponential upper bound on the decaying rate of covering probability of any such path when d≥4 and a $\log$ correction for $d=3$. Interesting conjectures and open questions will be presented. The talk will be split between Eviatar and Yuan. Eviatar will present the background and Yuan the combinatorics part.

Working Seminar in Groups, Dynamics, and Operator Algebras

Time: 3:00PM - 3:50PM

Location: BLOC 624

Speaker: Xin Ma, Texas A&M University

Title: Dynamical comparison and Purely infiniteness of crossed products