Graphs at infinity: Liouville theorems, Recurrence and Characterization of Dirichlet forms
Functional Analysis
2026-04-17 v1 Combinatorics
Metric Geometry
Abstract
We survey recent results on graphs and their Laplacians related to the behavior of the graph at large. In particular, we focus on Liouville theorems, recurrence and characterizations of Dirichlet forms via boundary terms.
Keywords
Cite
@article{arxiv.2604.14979,
title = {Graphs at infinity: Liouville theorems, Recurrence and Characterization of Dirichlet forms},
author = {Matthias Keller and Daniel Lenz and Marcel Schmidt},
journal= {arXiv preprint arXiv:2604.14979},
year = {2026}
}