Bifurcation currents and equidistribution on parameter space

Details Bifurcation currents and equidistribution on parameter space Bifurcation currents and equidistribution on parameter space

2011-11-16

arxiv.org/abs/1111.3989v2

Mathematics

Dynamical Systems

Revised version, 46 pages, to appear in the proceedings of the conference "Frontiers in complex dynamics (Celebrating John Mil

Scientific paper

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.

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