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arXiv · 1111.3989

Bifurcation currents and equidistribution on parameter space

Romain Dujardin
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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.

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Romain Dujardin. 2011-11-16. Bifurcation currents and equidistribution on parameter space. https://arxiv.org/abs/1111.3989

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