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math.GT2022★ 1 cited
Short geodesics and small eigenvalues on random hyperbolic punctured spheres
Will Hide, Joe Thomas
We study the number of short geodesics and small eigenvalues on Weil-Petersson random genus zero hyperbolic surfaces with cusps in the regime . Inspired by work of…
math.GT2014
Duality structures and discrete conformal variations of piecewise constant curvature surfaces
David Glickenstein, Joseph Thomas
A piecewise constant curvature manifold is a triangulated manifold that is assigned a geometry by specifying lengths of edges and stipulating that for a chosen background geometry…