Dimension of pluriharmonic measure and polynomial endomorphisms of $\C^n$
Complex Variables
2016-09-07 v1 Dynamical Systems
Abstract
Let be a polynomial endomorphism of which extends holomorphically to . We prove that the dimension of , the pluriharmonic measure on the boundary of the filled Julia set of , is bounded above by .
Cite
@article{arxiv.math/0206086,
title = {Dimension of pluriharmonic measure and polynomial endomorphisms of $\C^n$},
author = {I. Binder and L. DeMarco},
journal= {arXiv preprint arXiv:math/0206086},
year = {2016}
}
Comments
11 pages