Form uniqueness for graphs with weakly spherically symmetric ends
Mathematical Physics
2025-09-30 v1 math.MP
Abstract
We give characterizations for the failure of form uniqueness on weakly spherically symmetric graphs. The first characterization is in terms of the graph structure, the second involves the capacity of a Cauchy boundary. We also discuss the stability of form uniqueness and give characterizations for graphs which, following the removal of a set, consist of a disjoint union of weakly spherically symmetric graphs.
Cite
@article{arxiv.2509.22967,
title = {Form uniqueness for graphs with weakly spherically symmetric ends},
author = {Luis Hernandez and Sean Ku and Jun Masamune and Genevieve Romanelli and Radosław K. Wojciechowski},
journal= {arXiv preprint arXiv:2509.22967},
year = {2025}
}
Comments
33 pages, 4 figures