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.
Titolo: | Potential Theory on Trees, Graphs and Ahlfors Regular Metric Spaces |
Autore/i: | ARCOZZI, NICOLA; R. Rochberg; E. Sawyer; B. Wick |
Autore/i Unibo: | |
Anno: | 2014 |
Rivista: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s11118-013-9371-8 |
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. |
Data stato definitivo: | 2016-01-14T12:41:31Z |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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