Positive Eigenfunctions of the Laplacian and Conformal Densities on Homogeneous Trees

Michel Coornaert, Athanase Papadopoulos · Journal of the London Mathematical Society · 1997

In this paper, we study some asymptotic aspects of the positive eigenfunctions of the combinatorial Laplacian associated to a homogeneous tree. The results are inspired by results of Dennis Sullivan concerning λ-harmonic functions on the hyperbolic spaces Hn and contained in the paper [9].

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