Joint Princeton University/Rutgers/Institute for Advanced Study
NUMBER THEORY SEMINAR
for 5/5/2003
Andreas Strombergsson
Princeton University
Horocycles and equidistribution
Abstract
I will discuss some questions regarding equidistribution and rates of convergence of ergodic averages in the setting of the horocycle flow on the unit tangent bundle of a non-compact hyperbolic surface of finite area. One of the problems which I will discuss is related to the pair correlation density of the sequence $n^2 a$ modulo one. (Joint work with Jens Marklof.)