Probabilistic Weyl laws for quantized tori

DOI10.1007/s00220-010-1047-2zbMath1205.53092arXiv0909.2014OpenAlexW3101322402MaRDI QIDQ5962387

Maciej Zworski, Tanya Christiansen

Publication date: 22 September 2010

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.2014

zbMATH Keywords

Weyl asymptoticsquantized torussmall random perturbationsToeplitz quantization

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Geometric quantization (53D50)

Related Items (7)

Observable Error Bounds of the Time-Splitting Scheme for Quantum-Classical Molecular Dynamics ⋮ A probabilistic Weyl-law for perturbed Berezin-Toeplitz operators ⋮ Almost sure Weyl law for quantized tori ⋮ The precise shape of the eigenvalue intensity for a class of non-self-adjoint operators under random perturbations ⋮ Two point eigenvalue correlation for a class of non-selfadjoint operators under random perturbations ⋮ Local eigenvalue statistics of one-dimensional random nonselfadjoint pseudodifferential operators ⋮ Spectral statistics of non-selfadjoint operators subject to small random perturbations

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