3 papers
math.DS2020
Spectral gap and exponential mixing on geometrically finite hyperbolic manifolds
Samuel C. Edwards, Hee Oh
Let be a geometrically finite hyperbolic manifold with critical exponent exceeding . We obtain a precise asymptotic expansion of the…
math.DS2019
Effective equidistribution of the horocycle flow on geometrically finite hyperbolic surfaces
Samuel C. Edwards
We prove effective equidistribution of non-closed horocycles in the unit tangent bundle of infinite-volume geometrically finite hyperbolic surfaces.
math.NT2018
Renormalization of integrals of Eisenstein series and analytic continuation of representations
Samuel C. Edwards
We combine Zagier's theory of renormalizable automorphic functions on the hyperbolic plane with the analytic continuation of representations of due to B…