Marc-Adrien Mandich

collaborators

3 papers

math.FA2022

Additional numerical and graphical evidence to support some Conjectures on discrete Schrödinger operators with a more general long range condition

Sylvain Golénia, Marc-Adrien Mandich

This document contains additional numerical and graphical evidence to support some of the conjectures mentioned in \cite{GM3}. We give more evidence for $κ = 3, 4$ in dimension 2. As…

math.FA2022

Thresholds and more bands of a.c. Spectrum for the discrete Schr{ö}dinger operator with a more general long range condition

Sylvain Golénia, Marc-Adrien Mandich

We continue the investigation of the existence of absolutely continuous (a.c.) spectrum for the discrete Schrödinger operator $Δ + V$ on $ℓ^{2} (Z^{d})$ , in dimensions $d \geq 2$ , for…

math.SP2022

Thresholds and more bands of A.C. spectrum for the Molchanov--Vainberg Schrödinger operator with a more general long range condition

Marc-Adrien Mandich

The existence of absolutely continuous (a.c.) spectrum for the discrete Molchanov-Vainberg Schrödinger operator $D + V$ on $ℓ^{2} (Z^{d})$ , in dimensions $d \geq 2$ , is further…