37 citations · 124 across the 19 of their papers we have counts for
4 papers · 1 filter
Bands of pure a.c. spectrum for lattice Schr{ö}dinger operators with a more general long range condition. Part I
Sylvain Golenia, Marc Adrien Mandich
Commutator methods are applied to get limiting absorption principles for the discrete standard and Molchanov-Vainberg Schrödinger operators and $H_{\mathrm{…
The Essential Spectrum of the Discrete Laplacian on Klaus-sparse Graphs
Sylvain Golenia, Françoise Truc
In 1983, Klaus studied a class of potentials with bumps and computed the essential spectrum of the associated Schr{ö}dinger operator with the help of some localisations at infinity…
Limiting absorption principle for discrete Schr{ö}dinger operators with a Wigner-von Neumann potential and a slowly decaying potential
Sylvain Golenia, Marc-Adrien Mandich
We consider discrete Schr{ö}dinger operators on for which the perturbation consists of the sum of a long-range type potential and a Wigner-von Neumann type potenti…
Unboundedness of adjacency matrices of locally finite graphs
Sylvain Golenia
Given a locally finite simple graph so that its degree is not bounded, every self-adjoint realization of the adjacency matrix is unbounded from above. In this note we give an optim…