UVictoria Dynamics and Probability Seminar: Emilio Corso

  • Date: 03/28/2023
  • Time: 14:30
Emilio Corso, University of British Columbia

University of Victoria


Randomness of flows in negative curvature


A momentous legacy of twentieth-century mathematics is the realisation that deterministically evolving systems frequently exhibit, when observed for sufficiently extended periods of time, a statistical behaviour akin to the limiting behaviour of independent random variables. We shall explore a geometric incarnation of this surprising phenomenon, overviewing various kinds of statistical limit theorems for the free motion of a particle on a negatively curved surface. In order to emphasise the richness of possible asymptotic behaviours, as well as the variety of sources of randomness, we will further compare the free-motion dynamics with a closely related evolution on the same phase space, known as the horocycle flow.

Other Information: 

Time: 2:30pm Pacific

Location: DSB C128