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arXiv · 1010.4788

Potential Theory on Trees, Graphs and Ahlfors Regular Metric Spaces

N. Arcozzi·R. Rochberg·E. Sawyer·B. D. Wick
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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.

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N. Arcozzi, R. Rochberg, E. Sawyer, B. D. Wick. 2010-10-22. Potential Theory on Trees, Graphs and Ahlfors Regular Metric Spaces. https://arxiv.org/abs/1010.4788

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