18 citations · 40 across the 9 of their papers we have counts for
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math-ph2023★ 5 cited
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…
math-ph2016★ 3 cited
Does Levinson's theorem count complex eigenvalues ?
F. Nicoleau, D. Parra, S. Richard
Yes it does ! Indeed an extended version of Levinson's theorem is proposed for a system involving complex eigenvalues. The perturbed system corresponds to a realization of the Schr…
math-ph2015★ 2 cited
Continuity of the spectra for families of magnetic operators on Z^d
D. Parra, S. Richard
For families of magnetic self-adjoint operators on whose symbols and magnetic fields depend continuously on a parameter , it is shown that the main spectral prop…