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We present a rigorous scheme that makes it possible to compute eigenvalues of the Laplace operator on hyperbolic surfaces within a given precision.
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1994
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1999
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D. Jakobson, M. Levitin, N. Nadirashvili, N. Nigam, and I. Polterovich, How large can the first eigenvalue be on a surface of genus two? , Int. Math. Res. Not. (2005), no. 63, 3967–3985
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2007
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2011
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J. Marklof, Selberg’s trace formula: An Introduction , arXiv:math/0407288. In Hyperbolic Geometry and Applications in Quantum Chaos and Cosmology, eds. J. Bolte and F. Steiner, Cambridge University Press 2011, pp. 83-119
2011
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