The trace formula for a point scatterer on a hyperbolic surface with one
cusp [PDF]
Henrik UeberschaerWe prove an exact trace formula for the Laplacian with a delta potential - also known as a point scatterer - on a non-compact hyperbolic surface of finite volume with one cusp. Our formula is an analogue of the Selberg trace formula. We express the difference of perturbed and unperturbed trace as a smooth term plus a sum over combinations of diffractive orbits.View original: http://arxiv.org/abs/1111.6198
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