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Correlations of Eigenvalues on¶Multi-Dimensional Flat Tori

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Abstract:

We show that, for almost all k-dimensional flat tori, the eigenvalues of the Laplacian follow a uniform distribution with respect to their 2-, 3-, …, and [k/2]-level correlations.

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Authors and Affiliations

  1. Center for Communications Research, Thanet Circle, Princeton, NJ 08540, USA.¶E-mail: vanderkm@idaccr.org, , , , , , US

    Jeffrey M. VanderKam

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  1. Jeffrey M. VanderKam
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Received: 1 April 1999 / Accepted: 4 October 1999

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VanderKam, J. Correlations of Eigenvalues on¶Multi-Dimensional Flat Tori. Comm Math Phys 210, 203–223 (2000). https://doi.org/10.1007/s002200050777

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  • DOI: https://doi.org/10.1007/s002200050777

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