2017/08/27 by Olivier Bourget, Bourget, Olivier, Diomba Sambou +3
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP) #math-ph #math.MP #math.SP
paper · pdf · doi:10.48550/arxiv.1708.08032
arxiv created 2017/08/27 · arxiv updated 2017/08/29
We investigate the distribution of the resonances near spectral thresholds of Laplace operators on regular tree graphs with k-fold branching, k ≥ 1, 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.