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.
Potential Theory on Trees, Graphs and Ahlfors Regular Metric Spaces / N. Arcozzi; R. Rochberg; E. Sawyer; B. Wick.. - In: POTENTIAL ANALYSIS. - ISSN 0926-2601. - STAMPA. - 41:2(2014), pp. 317-366. [10.1007/s11118-013-9371-8]
Potential Theory on Trees, Graphs and Ahlfors Regular Metric Spaces
ARCOZZI, NICOLA;
2014
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.File in questo prodotto:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
