International audienceLet (f_\lambda) be a holomorphic family of rational mappings of degree d on the Riemann sphere, with k marked critical points c_1,..., c_k, parameterized by a complex manifold \Lambda. To this data is associated a closed positive current T_1\wedge ... \wedge T_k of bidegree (k,k) on \Lambda, aiming to describe the simultaneous bifurcations of the marked critical points. In this note we show that the support of this current is accumulated by parameters at which c_1,..., c_k eventually fall on repelling cycles. Together with results of Buff, Epstein and Gauthier, this leads to a complete characterization of Supp(T_1\wedge ... \wedge T_k
In the moduli space $\mathcal{M}_d$ of degree $d$ rational maps, the bifurcation locus is the suppor...
For parametrized families of dynamical systems, two major goals are classifying the systems up to to...
We show that $J-$ stability is open and dense in natural families of meromorphic maps of one complex...
Let (f_\lambda) be a holomorphic family of rational mappings of degree d on the Riemann sphere, with...
to appear in Ergodic Th. and Dyn. Syst.International audienceWe describe the behaviour at infinity o...
We develop techniques for using compactifications of Hurwitz spaces to study families of rational ma...
International audienceLet (\rho_\lambda)_{\lambda\in \Lambda} be a holomorphic family of representat...
International audienceWe review the use of techniques of positive currents for the study of param- e...
26 pages.International audienceWe continue our investigation of the parameter space of families of p...
Kabelka Introduction. A rational map F: C ̂ → C ̂ from the Riemann sphere to itself is bicritical i...
Potential theory has been introduced in one dimensional rational dynamics by Brolin and Tortrat ([4]...
Abstract Let (ρλ)λ∈ be a holomorphic family of representations of a finitely generated group G into...
We show the existence of open sets of bifurcations near Lattès maps of sufficiently high degree. In ...
In this paper we review the use of techniques of positive currents for the study of parameter spaces...
Given a family of polynomial-like maps of large topological degree, we relate the presence of Misiur...
In the moduli space $\mathcal{M}_d$ of degree $d$ rational maps, the bifurcation locus is the suppor...
For parametrized families of dynamical systems, two major goals are classifying the systems up to to...
We show that $J-$ stability is open and dense in natural families of meromorphic maps of one complex...
Let (f_\lambda) be a holomorphic family of rational mappings of degree d on the Riemann sphere, with...
to appear in Ergodic Th. and Dyn. Syst.International audienceWe describe the behaviour at infinity o...
We develop techniques for using compactifications of Hurwitz spaces to study families of rational ma...
International audienceLet (\rho_\lambda)_{\lambda\in \Lambda} be a holomorphic family of representat...
International audienceWe review the use of techniques of positive currents for the study of param- e...
26 pages.International audienceWe continue our investigation of the parameter space of families of p...
Kabelka Introduction. A rational map F: C ̂ → C ̂ from the Riemann sphere to itself is bicritical i...
Potential theory has been introduced in one dimensional rational dynamics by Brolin and Tortrat ([4]...
Abstract Let (ρλ)λ∈ be a holomorphic family of representations of a finitely generated group G into...
We show the existence of open sets of bifurcations near Lattès maps of sufficiently high degree. In ...
In this paper we review the use of techniques of positive currents for the study of parameter spaces...
Given a family of polynomial-like maps of large topological degree, we relate the presence of Misiur...
In the moduli space $\mathcal{M}_d$ of degree $d$ rational maps, the bifurcation locus is the suppor...
For parametrized families of dynamical systems, two major goals are classifying the systems up to to...
We show that $J-$ stability is open and dense in natural families of meromorphic maps of one complex...