The remainder in Weyl's law for random two-dimensional flat tori
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Publication:558107
DOI10.1007/s00039-002-8265-5zbMath1169.58303OpenAlexW2030237423MaRDI QIDQ558107
Yiannis N. Petridis, John A. Toth
Publication date: 30 June 2005
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00039-002-8265-5
Geometric probability and stochastic geometry (60D05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Lattice points in specified regions (11P21) Perturbations of PDEs on manifolds; asymptotics (58J37)
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Lattice points inside random ellipsoids ⋮ On the mean square of the remainder for the Euclidean lattice point counting problem ⋮ Asymptotic trace formula for the Hecke operators ⋮ Lattice points in a circle for generic unimodular shears ⋮ On the Weyl law for quantum graphs
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