Hostname: page-component-848d4c4894-2pzkn Total loading time: 0 Render date: 2024-06-02T00:45:10.281Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)