This afternoon we have an Analysis and Probability seminar, back at its regular time. Giulio Tiozzo (Yale) will speak about random walks in hyperbolic spaces (title and abstract below).
Seminar Time & Location: 3:15pm in MSB 109A
Title: Random walks in hyperbolic spaces
Abstract: Let us consider a group of isometries of a delta-hyperbolic space X, which is not necessarily proper (e.g. it could be a locally infinite graph). We can define a random walk on the graph by picking random produtcs of its elements and projecting the sample path to X. We show that such a random walk converges almost surely to the Gromov boundary of X with positive speed. We will discuss applications of these techniques to geometric group theory (the mapping class group and Out(F_n)) as well as to complex analysis (the Cremona group). This is joint work with J. Maher.
Current & Upcoming Seminar Talks
October 9 - Giulio Tiozzo (Yale)
October 16 - Kyle Kinneberg (Rice)
To be scheduled - Joe Chen (UConn)