Errata to "Dynamics of asymptotically hyperbolic manifolds"

Magazine article, 2014

Abstract Theorem 1.4 of the article in question—its main result—is a prime orbit theorem for the geodesic flow of asymptotically hyperbolic manifolds with negative sectional curvatures. We correct a typo and supply a missing technical assumption to make the result and its proof correct. We also supply a remainder term required in the dynamical wave trace formula given in Theorem 1.1, relating the length spectrum to the regularized trace of the wave group. This correction does not affect the main terms in the trace formula nor its application by Borthwick and Perry (2011).