Asymptotics of a class of Weil–Petersson geodesics and divergence of Weil–Petersson geodesics

Abstract

Abstract. We show that the strong asymptotic class of Weil-Petersson (WP) geodesic rays with narrow end invariant and bounded annular coefficients is determined by the forward ending laminations of the geodesic rays. This generalizes the Recurrent Ending Lamination Theorem of Brock, Masur and Minsky. As an application we provide a symbolic condition for divergence of WP geodesic rays in the moduli space.