The essential spectrum of the Laplacian on rapidly branching tessellations

Details The essential spectrum of the Laplacian on rapidly branching tessellations The essential spectrum of the Laplacian on rapidly branching tessellations

2007-12-21

arxiv.org/abs/0712.3816v2

Physics

Mathematical Physics

Scientific paper

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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