Daniel Parra

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math.SP2024

Eigenvalue Asymptotics near a flat band in presence of a slowly decaying potential

Pablo Miranda, Daniel Parra

We provide eigenvalue asymptotics for a Dirac-type operator on $Z^{n}$ , $n \geq 2$ , perturbed by multiplication operators that decay as $∣ μ ∣^{- γ}$ with $γ < n$ . We show that the…

math.SP2022

Spectral Asymptotics at Thresholds for a Dirac-type Operator on $Z^{2}$

Pablo Miranda, Daniel Parra, Georgi Raikov

In this article, we provide the spectral analysis of a Dirac-type operator on $Z^{2}$ by describing the behavior of the spectral shift function associated with a sign-defini…

Eigenvalue Asymptotics near a flat band in presence of a slowly decaying potential

Spectral Asymptotics at Thresholds for a Dirac-type Operator on Z2

Spectral Asymptotics at Thresholds for a Dirac-type Operator on $Z^{2}$