2 citations · 3 across the 3 of their papers we have counts for
6 papers
The Miura Map on the Line
Thomas Kappeler, Peter Perry, Mikhail Shubin +1
The Miura map (introduced by Miura) is a nonlinear map between function spaces which transforms smooth solutions of the modified Korteweg - de Vries equation (mKdV) to solutions of…
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…
Scattering poles for asymptotically hyperbolic manifolds
David Borthwick, Peter Perry
For a class of manifolds that includes quotients of real hyperbolic space by a convex co-compact discrete group, we show that the resonances of the meromorphically continued resolv…