Bifurcation currents and equidistribution on parameter space
Dynamical Systems
2012-02-08 v2 Complex Variables
Abstract
In this paper we review the use of techniques of positive currents for the study of parameter spaces of one-dimensional holomorphic dynamical systems (rational mappings on P^1 or subgroups of the Moebius group PSL(2,C)). The topics covered include: the construction of bifurcation currents and the characterization of their supports, the equidistribution properties of dynamically defined subvarieties on parameter space.
Cite
@article{arxiv.1111.3989,
title = {Bifurcation currents and equidistribution on parameter space},
author = {Romain Dujardin},
journal= {arXiv preprint arXiv:1111.3989},
year = {2012}
}
Comments
Revised version, 46 pages, to appear in the proceedings of the conference "Frontiers in complex dynamics (Celebrating John Milnor's 80th birthday)"