2 citations · 2 across the 3 of their papers we have counts for
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math.DG2001
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…
math.DG2001
Tracking eigenvalues to the frontier of moduli space II: Limits for eigenvalue branches
Chris Judge
We prove the existence of limits of real-analytic Laplace eigenvalue branches for real-analytic families of metrics that degenerate along a compact hypersurface.
math.DG2001
Tracking eigenvalues to the frontier of moduli space I: Convergence and spectral accumulation
Chris Judge
We study the limiting behavior of eigenfunctions/eigenvalues of the Laplacian of a family of Riemannian metrics that degenerates on a hypersurface. Our results generalize earlier w…