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Resonances on regular tree graphs

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 نشر من قبل Amal Taarabt
 تاريخ النشر 2017
  مجال البحث فيزياء
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We investigate the distribution of the resonances near spectral thresholds of Laplace operators on regular tree graphs with $k$-fold branching, $k geq 1$, 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.



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