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POSITIVE EIGENFUNCTIONS OF THE LAPLACIAN AND CONFORMAL DENSITIES ON HOMOGENEOUS TREES

Published online by Cambridge University Press:  01 June 1997

MICHEL COORNAERT  and
ATHANASE PAPADOPOULOS
MICHEL COORNAERT
Affiliation:
Institut de Recherche Mathématique Avancée, Université Louis Pasteur et CNRS, 7 rue René Descartes, 67084 Strasbourg Cedex, France
ATHANASE PAPADOPOULOS
Affiliation:
Institut de Recherche Mathématique Avancée, Université Louis Pasteur et CNRS, 7 rue René Descartes, 67084 Strasbourg Cedex, France
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Abstract

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].

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 55 , Issue 3 , June 1997 , pp. 609 - 624
Copyright
The London Mathematical Society 1997

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