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arXiv · 2604.14979

Graphs at infinity: Liouville theorems, Recurrence and Characterization of Dirichlet forms

Matthias Keller·Daniel Lenz·Marcel Schmidt
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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.

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Matthias Keller, Daniel Lenz, Marcel Schmidt. 2026-04-16. Graphs at infinity: Liouville theorems, Recurrence and Characterization of Dirichlet forms. https://arxiv.org/abs/2604.14979

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