Resonances on regular tree graphs
Mathematical Physics
2017-08-29 v1 math.MP
Spectral Theory
Abstract
We investigate the distribution of the resonances near spectral thresholds of Laplace operators on regular tree graphs with -fold branching, , perturbed by nonself-adjoint exponentially decaying potentials. We establish results on the absence of resonances which in particular involve absence of discrete spectrum near some sectors of the essential spectrum of the operators.
Keywords
Cite
@article{arxiv.1708.08032,
title = {Resonances on regular tree graphs},
author = {Olivier Bourget and Diomba Sambou and Amal Taarabt},
journal= {arXiv preprint arXiv:1708.08032},
year = {2017}
}