Magnetic bottles on geometrically finite hyperbolic surfaces

Abstract : 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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Contributor : Francoise Truc <>
Submitted on : Thursday, July 1, 2010 - 11:32:37 AM
Last modification on : Monday, March 25, 2019 - 4:52:05 PM
Long-term archiving on : Monday, October 4, 2010 - 11:53:35 AM

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  • HAL Id : hal-00318791, version 2
  • ARXIV : 0809.0967

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Abderemane Morame, Francoise Truc. Magnetic bottles on geometrically finite hyperbolic surfaces. Journal of Geometry and Physics, Elsevier, 2009, 59 (7), pp.1079-1085. ⟨hal-00318791v2⟩

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