Dujardin, Romain Bifurcation currents and equidistribution in parameter space. (English) Zbl 1405.37003 Bonifant, Araceli (ed.) et al., Frontiers in complex dynamics. In celebration of John Milnor’s 80th birthday. Based on a conference, Banff, Canada, February 2011. Princeton, NJ: Princeton University Press (ISBN 978-0-691-15929-4/hbk; 978-1-400-85131-7/ebook). 515-566 (2014). Summary: We review the use of techniques of positive currents for the study of parameter spaces of one-dimensional holomorphic dynamical systems (rational mappings on \(\mathbb{P}^1\) or subgroups of the Möbius group PSL\((2,\mathbb{C}))\). The topics covered include the construction of bifurcation currents and the characterization of their supports, the equidistribution properties of dynamically defined subvarieties of the parameter space.For the entire collection see [Zbl 1285.37001]. Cited in 15 Documents MSC: 37-02 Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory 37F10 Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets 37F75 Dynamical aspects of holomorphic foliations and vector fields PDFBibTeX XMLCite \textit{R. Dujardin}, in: Frontiers in complex dynamics. In celebration of John Milnor's 80th birthday. Based on a conference, Banff, Canada, February 2011. Princeton, NJ: Princeton University Press. 515--566 (2014; Zbl 1405.37003) Full Text: arXiv