Positive harmonic functions on biregular trees

Authors

DOI:

https://doi.org/10.13069/jacodesmath.v11i1.290

Keywords:

Biregular tree, Maximal growth, Positive harmonic function

Abstract

We show that if $f$ is a positive harmonic function on a biregular tree which has maximal growth along an infinite path in the tree, then every harmonic function $g$ on the tree with $0\leq g\leq f$ is a multiple of $f$, thus generalizing a result of Cartier about regular trees.

Received: 28 April 2023 | Accepted: 9 August 2023

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Published

2023-10-23

How to Cite

Gonzalez, F. J. (2023). Positive harmonic functions on biregular trees. Journal of Algebra Combinatorics Discrete Structures and Applications, 11(1), 65–72. https://doi.org/10.13069/jacodesmath.v11i1.290

Issue

Vol. 11 Issue 1: January 2024

Section

Articles