Bifurcation currents and equidistribution on parameter space

Romain Dujardin (1)

1 CMLS - Centre de Mathématiques Laurent Schwartz

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.

Domaines: Systèmes dynamiques [math.DS]; Variables complexes [math.CV]

Romain Dujardin. Bifurcation currents and equidistribution on parameter space. 2012. ⟨hal-00836301⟩