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arxiv: 0809.0967 · v2 · pith:57OAY6LBnew · submitted 2008-09-05 · 🧮 math-ph · math.MP

Magnetic bottles on geometrically finite hyperbolic surfaces

classification 🧮 math-ph math.MP
keywords magneticfinitegeometricallyhyperbolicinfinitesurfacewhenarea
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We consider a magnetic Laplacian on a geometrically finite hyperbolic surface, when the corresponding magnetic field is infinite at the boundary at infinity. We prove that the counting function of the eigenvalues has a particular asymptotic behaviour when the surface has an infinite area.

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