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

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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…