13 citations · 37 across the 13 of their papers we have counts for
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math.SP2019★ 6 cited
Almost sure Weyl law for quantized tori
Martin Vogel
We study the eigenvalues of the Toeplitz quantization of complex-valued functions on the torus subject to small random perturbations given by a complex-valued random matrix whose e…
math.SP2019★ 3 cited
General Toeplitz matrices subject to Gaussian perturbations
Johannes Sjoestrand, Martin Vogel
We study the spectra of general Toeplitz matrices given by symbols in the Wiener Algebra perturbed by small complex Gaussian random matrices, in the regime . We…
math.SP2019★ 4 cited
Toeplitz band matrices with small random perturbations
Johannes Sjoestrand, Martin Vogel
We study the spectra of Toeplitz band matrices perturbed by small complex Gaussian random matrices, in the regime . We prove a probabilistic Weyl law, which pro…