Pluripotential energy and large deviation
Complex Variables
2012-05-10 v2
Abstract
We generalize our previous results relating pluripotential energy with the electrostatic energy of a measure given by Berman, Boucksom, Guedj and Zeriahi. As a consequence, we obtain a large deviation principle for a canonical sequence of probability measures on a nonpluripolar compact set K in C^n. This is a special case of a result of R. Berman. For n=1, we include a proof that uses only standard techniques of weighted potential theory.
Cite
@article{arxiv.1110.6593,
title = {Pluripotential energy and large deviation},
author = {Tom Bloom and Norm Levenberg},
journal= {arXiv preprint arXiv:1110.6593},
year = {2012}
}
Comments
This is a revision of our previous version with an expanded introduction and (hopefully!) improved exposition