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20012008
most citedSelberg's zeta function and the spectral geometry of geometrically finite hyperbolic surfaces

2 citations · 2 across the 3 of their papers we have counts for

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math.SP2008

The eigenvalues of the Laplacian on domains with small slits

Luc Hillairet, Chris Judge

We introduce a small slit into a planar domain and study the resulting effect upon the eigenvalues of the Laplacian. In particular, we show that as the length of the slit tends to…

math.SP2007

Generic spectral simplicity of polygons

Luc Hillairet, Chris Judge

We study the Laplace operator with Dirichlet or Neumann boundary condition on polygons in the Euclidean plane. We prove that almost every simply connected polygon with at least fou…