162 citations · 394 across the 33 of their papers we have counts for
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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…
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…
Rational invariant tori and band edge spectra for non-selfadjoint operators
Michael Hitrik, Johannes Sjoestrand
We study semiclassical asymptotics for spectra of non-selfadjoint perturbations of selfadjoint analytic -pseudodifferential operators in dimension 2, assuming that the classical…
PT-symmetry and Schrödinger operators. The double well case
Nawal Mecherout, Naima Boussekkine, Thierry Ramond +1
We study a class of PT-symmetric semiclassical Schrödinger operators, which are perturbations of a selfadjoint one. Here, we treat the case where the unperturbed operator has a dou…
PT symmetry and Weyl asymptotics
Johannes Sjoestrand
For a class of PT-symmetric operators with small random perturbations, the eigenvalues obey Weyl asymptotics with probability close to 1. Consequently, when the principal symbol is…