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Harmonic analysis on the Pascal graph
Authors:J.-F. Quint
Affiliation:LAGA, Université Paris 13, 99, avenue Jean-Baptiste Clément, 93430 Villetaneuse, France
Abstract:
In this paper, we completely determine the spectral invariants of an auto-similar planar 3-regular graph. Using the same methods, we study the spectral invariants of a natural compactification of this graph.
Keywords:Self-similar graphs   Transfer operators   Hyperbolic dynamics
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