42 citations · 622 across the 80 of their papers we have counts for
7 papers · 1 filter
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 str…
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([…
Hölder Continuity of the Spectra for Aperiodic Hamiltonians
Siegfried Beckus, Jean Bellissard, Horia Cornean
We study the spectral location of strongly pattern equivariant Hamiltonians arising through configurations on a colored lattice. Roughly speaking, two configurations are "close to…
Two dimensional Schr{\" o}dinger operators with point interactions: threshold expansions, zero modes and -boundedness of wave operators
Horia D. Cornean, Alessandro Michelangeli, Kenji Yajima
We study the threshold behaviour of two dimensional Schr{\" o}dinger operators with finitely many local point interactions. We show that the resolvent can either be continuously ex…
Low lying spectral gaps induced by slowly varying magnetic fields
Horia D. Cornean, Bernard Helffer, Radu Purice
We consider a periodic Schrödinger operator in two dimensions perturbed by a weak magnetic field whose intensity slowly varies around a positive mean. We show in great generality t…
Spectral edge regularity of magnetic Hamiltonians
Horia D. Cornean, Radu Purice
We analyse the spectral edge regularity of a large class of magnetic Hamiltonians when the perturbation is generated by a globally bounded magnetic field. We can prove Lipschitz re…