3 papers
math.SP2024
Pseudospectra and eigenvalue asymptotics for disordered non-selfadjoint operators in the semiclassical limit
Martin Vogel
The purpose of this note is to review some recent results concerning the pseudospectra and the eigenvalues asymptotics of non-selfadjoint semiclassical pseudo-differential operator…
math-ph2024★ 1 cited
Absence of small magic angles for disordered tunneling potentials in twisted bilayer graphene
Simon Becker, Izak Oltman, Martin Vogel
We consider small random perturbations of the standard high-symmetry tunneling potentials in the Bistritzer-MacDonald Hamiltonian describing twisted bilayer graphene. Using methods…
math.SP2014
Interior eigenvalue density of Jordan matrices with random perturbations
Johannes Sjoestrand, Martin Vogel
We study the eigenvalue distribution of a large Jordan block subject to a small random Gaussian perturbation. A result by E.B. Davies and M. Hager shows that as the dimension of th…