Positive Eigenfunctions of the Laplacian and Conformal Densities on Homogeneous Trees (original) (raw)

Uploaded (2014) | Journal: Journal of The London Mathematical Society-second Series

Abstract

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This paper investigates the asymptotic properties of positive eigenfunctions associated with the combinatorial Laplacian on homogeneous trees, focusing on their relationships with harmonic functions in hyperbolic spaces. It applies mathematical techniques to derive inequalities and results related to the behavior of these eigenfunctions in the context of their geometrical and topological properties.

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