10 papers
The fibre operators in the Bloch-Floquet decomposition of periodic magnetic pseudo-differential operators
Horia D. Cornean, Bernard Helffer, Radu Purice
We study the structure of the fibre operators corresponding to periodic magnetic pseudo-differential operators having periodic magnetic potentials. We obtain explicit formulas for…
Spectral and dynamical results related to certain non-integer base expansions on the unit interval
Horia D. Cornean, Ira W. Herbst, Giovanna Marcelli
We consider certain non-integer base -expansions of Parry's type and we study various properties of the transfer (Perron-Frobenius) operator $\mathcal{P}:L^p([0,1])\mapsto L^p(…
On the directional growth of the resolvent norm
Horia Cornean, Henrik Garde, Arne Jensen
Let be a closed densely defined operator on a separable Hilbert space . Assume the resolvent set is non-empty. For let denote the s…
Magnetic Weyl Super Calculus: Schatten-class properties, commutator criterion, and complete positivity
Horia D. Cornean, Mikkel H. Thorn
We combine our previous results on magnetic pseudo-differential operators for Hörmander symbols dominated by tempered weights [arXiv:2511.07184] with the magnetic Weyl super calcu…
Universality of the Hall conductivity for a weakly interacting magnetic fermionic gas in the Hartree-Fock approximation
Horia D. Cornean, Emanuela Laura Giacomelli, Domenico Monaco +1
We consider a two-dimensional gas of interacting fermions in presence of an external constant magnetic field: the system is extended and homogeneous, and thus assumed to be invaria…
On the magnetic perturbation theory for Chern insulators
Horia D. Cornean, Massimo Moscolari
The gauge covariant magnetic perturbation theory is tailored for one-body Schrödinger operators perturbed by long-range magnetic fields. In this work we present a self-contained e…