Jordan and Cartan spectra in higher rank with applications to correlations

Abstract: The celebrated prime geodesic theorem for a closed hyperbolic surface says that the number of closed geodesics of length at most t is asymptotically e^t/t. For a closed surface equipped with two different hyperbolic structures, Schwartz and Sharp (’93) showed that the number of free homotopy classes of length about t in both hyperbolic structures is asymptotically a constant multiple of e^{ct} /t^{3/2} for some 0

dynamical systemsnumber theory

Audience: general audience

New England Dynamics and Number Theory Seminar