Potential Theory on Trees, Graphs and Ahlfors Regular Metric Spaces
Analysis of PDEs
2014-07-22 v3 Metric Geometry
Abstract
We investigate connections between potential theories on a Ahlfors-regular metric space X, on a graph G associated with X, and on the tree T obtained by removing the "horizontal edges" in G. Applications to the calculation of set capacity are given.
Keywords
Cite
@article{arxiv.1010.4788,
title = {Potential Theory on Trees, Graphs and Ahlfors Regular Metric Spaces},
author = {N. Arcozzi and R. Rochberg and E. Sawyer and B. D. Wick},
journal= {arXiv preprint arXiv:1010.4788},
year = {2014}
}
Comments
45 pages; presentation improved based on referee comments