The essential spectrum of the Laplacian on rapidly branching tessellations
classification
🧮 math-ph
math.MPmath.SP
keywords
essentialspectrumemptinesslaplaciantessellationsassumptionbranchingcharacterization
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In this paper we characterize emptiness of the essential spectrum of the Laplacian under a hyperbolicity assumption for general graphs. Moreover we present a characterization for emptiness of the essential spectrum for planar tessellations in terms of curvature.
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