17 citations · 50 across the 11 of their papers we have counts for
5 papers · 1 filter
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…
Metrized graphs, electrical networks, and Fourier analysis
Matthew Baker, Xander Faber
A metrized graph is a finite weighted graph whose edges are thought of as line segments. In this expository paper, we study the Laplacian operator on a metrized graph and some impo…
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…
Equidistribution of small subvarieties of an abelian variety
Matthew Baker, Su-ion Ih
We prove an equidistribution result for small subvarieties of an abelian variety which generalizes the Szpiro-Ullmo-Zhang theorem on equidistribution of small points.