Events for 10/09/2017 from all 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: Purely infiniteness of crossed products