17 citations · 21 across the 4 of their papers we have counts for
4 papers
A Robin formula for the Fekete-Leja transfinite diameter
Robert Rumely
This note gives a higher-dimensional generalization of the classical formula cap(K) = exp(-V(E)) expressing the logarithmic capacity in terms of the residue at infinity of its Gree…
Analysis and dynamics on the Berkovich projective line
Robert Rumely, Matthew Baker
This is a set of expanded lecture notes from the Berkovich Space seminar held at the University of Georgia during Spring, 2004. The purpose of the notes is to provide a non-technic…
Harmonic analysis on metrized graphs
Matthew Baker, Robert Rumely
We study the Laplacian on a metrized graph, and its eigenfunctions.
Equidistribution of small points, rational dynamics, and potential theory
Matthew Baker, Robert Rumely
If phi(z) is a rational function on P^1 of degree at least 2 with coefficients in a number field k, we compute the homogeneous transfinite diameter of the v-adic filled Julia sets…