5 citations · 10 across the 11 of their papers we have counts for
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The Landau-Dirac operator with shell interactions: self-adjointness and clustering
Badreddine Benhellal, Vincent Bruneau, Pablo Miranda
We consider the two-dimensional Dirac operator with constant magnetic field that is perturbed by a combination of electrostatic and Lorentz-scalar delta interactions with variable…
Continuum limit for a discrete Hodge-Dirac operator on square lattices
Pablo Miranda, Daniel Parra
We study the continuum limit for Dirac-Hodge operators defined on the dimensional square lattice as goes to . This result extends to a first order discre…
Clusters of resonances for a non-selfadjoint multichannel discrete Schrödinger operator
Marouane Assal, Olivier Bourget, Pablo Miranda +1
We study the distribution of resonances for discrete Hamiltonians of the form near the thresholds of the spectrum of . Here, the unperturbed operator is a multic…
Resonances near Thresholds in slightly Twisted Waveguides
Vincent Bruneau, Pablo Miranda, Nicolas Popoff
We consider the Dirichlet Laplacian in a straight three dimensional waveguide with non-rotationally invariant cross section, perturbed by a twisting of small amplitude. It is well…
Discrete Spectrum of Quantum Hall Effect Hamiltonians II. Periodic Edge Potentials
Pablo Miranda, Georgi Raikov
We consider the unperturbed operator , self-adjoint in . Here is a magnetic potential which generates a constant m…
Discrete Spectrum of Quantum Hall Effect Hamiltonians I. Monotone Edge Potential
Vincent Bruneau, Pablo Miranda, Georgi Raikov
We consider the unperturbed operator , self-adjoint in . Here is a magnetic potential which generates a constant magnetic field ,…