EVENT DETAILS AND ABSTRACT

Title: Limit Distributions for Horocycle Flows
Speaker: Giovanni Forni
Speaker Info: University of Maryland
Brief Description:
Special Note:
Abstract:

We prove limit theorems for horocycle flows on compact surfaces of constant negative curvature. The argument is based on the construction of a special family of horocycle-invariant finitely additive Hoelder measures on rectifiable arcs. An asymptotic formula for time integrals for horocycle flows is obtained in terms of the finitely-additive measures, and limit theorems follow as a corollary of the asymptotic formula. This is joint work with A. Bufetov.