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math.DG2002★ 2 cited
Isoscattering on surfaces
Robert Brooks, Orit Davidovich
We give a number of examples of pairs of non-compact surfaces which are isoscattering, and which are exceptionally simple in one or more senses. We give examples which are of small…
math.DG2001
Random Construction of Riemann Surfaces
Robert Brooks, Eran Makover
In this paper, we address the following question: What does a typical compact Riemann surface of large genus look like geometrically? We do so by constructing compact Riemann surfa…
math.DG2000
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…