96 citations · 199 across the 24 of their papers we have counts for
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Selberg's zeta function and the spectral geometry of geometrically finite hyperbolic surfaces
D. Borthwick, C. Judge, P. A. Perry
For hyperbolic Riemann surfaces of finite geometry, we study Selberg's zeta function and its relation to the relative scattering phase and the resonances of the Laplacian. As an ap…
Continuous Families of Isophasal Scattering Manifolds
Carolyn Gordon, Peter Perry
We construct continuous families of scattering manifolds with the same scattering phase. The manifolds are compactly supported metric perturbations of Euclidean fo…
Determinants of Laplacians and Isopolar Metrics on Surfaces of Infinite Area
D. Borthwick, C. Judge, P. A. Perry
We construct a determinant of the Laplacian for infinite-area surfaces which are hyperbolic near infinity and without cusps. In the case of a convex co-compact hyperbolic metric, t…
Isoscattering Schottky Manifolds
Robert Brooks, Ruth Gornet, Peter Perry
The authors exhibit pairs of infinite-volume, hyperbolic three-manifolds that have the same scattering poles and conformally equivalent boundaries, but which are not isometric. The…