Pseudospectra and eigenvalue asymptotics for disordered non-selfadjoint operators in the
semiclassical limit Page 1 TYPE Mini Review PUBLISHED December DOI . /fams. . OPEN …

A matrix is diagonalizable if it has a basis of linearly independent eigenvectors. Since the set
of nondiagonalizable matrices has measure zero, every is the limit of diagonalizable …

Let $ T_N $ denote an $ N\times N $ Toeplitz matrix with finite, $ N $ independent symbol
$\mathbfit {a} $. For $ E_N $ a noise matrix satisfying mild assumptions (ensuring, in …

Abstract Consider an N * NN× N Toeplitz matrix T_N TN with symbol a (λ):= ∑ _ ℓ=-d_2^
d_1 a_ ℓ λ^ ℓ a (λ):=∑ ℓ=-d 2 d 1 a ℓ λ ℓ, perturbed by an additive noise matrix N^-γ E_N N-γ …

We consider nonnormal matrix-valued dynamical systems with discrete time. For an
eigenvalue of matrix, the number of times it appears as a root of the characteristic …

We study the spectra of N× N Toeplitz band matrices perturbed by small complex Gaussian
random matrices, in the regime N≫ 1. We prove a probabilistic Weyl law, which provides a …

We study the spectra of general N * NN× N Toeplitz matrices given by symbols in the Wiener
Algebra perturbed by small complex Gaussian random matrices, in the regime N ≫ 1 N≫ 1 …

We consider $ n\times n $ non-Hermitian random matrices with independent entries and a
variance profile, as well as an additive deterministic diagonal deformation. We show that the …

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 …

We consider small random perturbations of the standard high-symmetry tunneling potentials
in the Bistritzer-MacDonald Hamiltonian describing twisted bilayer graphene. Using …