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