4 citations · 7 across the 2 of their papers we have counts for
6 papers
Deterministic equivalence for noisy perturbations
Martin Vogel, Ofer Zeitouni
We prove a quantitative deterministic equivalence theorem for the logarithmic potentials of deterministic complex matrices subject to small random perturbations. We sho…
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…
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…
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…
Semiclassical resolvent estimates for bounded potentials
Frédéric Klopp, Martin Vogel
We study the cut-off resolvent of semiclassical Schr{ö}dinger operators on with bounded compactly supported potentials . We prove that for real energies in…
Interior eigenvalue density of large bi-diagonal matrices subject to random perturbations
Johannes Sjoestrand, Martin Vogel
We study the spectrum of large a bi-diagonal Toeplitz matrix subject to a Gaussian random perturbation with a small coupling constant. We obtain a precise asymptotic description of…