Small Gaps in the Spectrum of Tori: Asymptotic Formulae
نویسندگان
چکیده
We establish an asymptotic formula, uniformly down to the Planck scale, for number of small gaps between first N eigenvalues Laplacian on almost all flat tori and also rectangular tori.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2023
ISSN: ['0010-3616', '1432-0916']
DOI: https://doi.org/10.1007/s00220-023-04760-3