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Additional numerical and graphical evidence to support some Conjectures on discrete Schr{\"o}dinger operators with a more general long range condition

Abstract : This document contains additional numerical and graphical evidence to support some of the conjectures mentioned in \cite{GM3}. We give more evidence for $\kappa=3,4$ in dimension 2. As mentioned in that article we still don't quite understand the sets $\boldsymbol{\mu}_{\kappa}(\Delta)$ and $\boldsymbol{\Theta}_{\kappa}(\Delta)$ on $(0,1/2)$ for $\kappa=3$ in dimension 2. Here we give a bunch more threshold energies for $\kappa = 3$ in dimension 2.
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https://hal-cnrs.archives-ouvertes.fr/hal-03499095
Contributor : Sylvain Golenia Connect in order to contact the contributor
Submitted on : Friday, January 21, 2022 - 2:39:22 PM
Last modification on : Tuesday, January 25, 2022 - 3:04:53 AM

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Supplemental_Evidence_GM3.pdf
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  • HAL Id : hal-03499095, version 1
  • ARXIV : 2201.09547

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Sylvain Golénia, Marc-Adrien Mandich. Additional numerical and graphical evidence to support some Conjectures on discrete Schr{\"o}dinger operators with a more general long range condition. 2022. ⟨hal-03499095⟩

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