The essential spectrum of the Laplacian on rapidly branching tessellations

Autoren: Matthias Keller (2010)

In this paper, we characterize absence of the essential spectrum of the Laplacian under a hyperbolicity assumption for general graphs. Moreover, we present a characterization for absence of the essential spectrum for planar tessellations in terms of curvature.

Zeitschrift:
Mathematische Annalen
Seiten:
51-66
Band:
346

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