Add to ORKGIn the moduli space of polynomial or rational maps of degree d, there exists a bifurcation measure which measures the unstability of the dynamics. I will discuss the equidistribution of the centers of the hyperbolic components towards that measure in various settings. These are joint works with T. Gauthier and Y. Okuyama.Non UBCUnreviewedAuthor affiliation: Université de Picardie- Jules VerneFacult
In this paper we review the use of techniques of positive currents for the study of parameter spaces...
We study the bifurcation of hyperbolic periodic orbits from a four-dimensional nonlinear center in a...
International audienceIn the space of degree d polynomials, the hypersurfaces defined by the existen...
In the moduli space of polynomial or rational maps of degree d, there exists a bifurcation measure w...
Abstract. We prove that Misiurewicz parameters with prescribed combinatorics and hyperbolic paramete...
International audienceThe moduli space M_d of degree d ≥ 2 rational maps can naturally be endowed wi...
Modified third section. Some results of Section 3 have been made more precise. Minor errors correcte...
Abstract. Consider polynomial maps f: C → C of degree d ≥ 2, or more gen-erally polynomial maps from...
International audienceWe prove that Misiurewicz parameters with prescribed combinatorics and hyperbo...
∗Revised version. The conjectures on page 16 were problematic, and have been corrected. The Problem ...
Abstract. The tricorn is the connectedness locus of antiholomorphic quadratic polynomials. We invest...
International audienceWe review the use of techniques of positive currents for the study of param- e...
Hyperbolic components, in a reasonable space of polynomial or rational maps, are well understood. Bu...
Some themes inspired from number theory have been playing an important role in holomorphic and algeb...
this article we survey a small constellation of such conjectures, centering around the density of hy...
In this paper we review the use of techniques of positive currents for the study of parameter spaces...
We study the bifurcation of hyperbolic periodic orbits from a four-dimensional nonlinear center in a...
International audienceIn the space of degree d polynomials, the hypersurfaces defined by the existen...
In the moduli space of polynomial or rational maps of degree d, there exists a bifurcation measure w...
Abstract. We prove that Misiurewicz parameters with prescribed combinatorics and hyperbolic paramete...
International audienceThe moduli space M_d of degree d ≥ 2 rational maps can naturally be endowed wi...
Modified third section. Some results of Section 3 have been made more precise. Minor errors correcte...
Abstract. Consider polynomial maps f: C → C of degree d ≥ 2, or more gen-erally polynomial maps from...
International audienceWe prove that Misiurewicz parameters with prescribed combinatorics and hyperbo...
∗Revised version. The conjectures on page 16 were problematic, and have been corrected. The Problem ...
Abstract. The tricorn is the connectedness locus of antiholomorphic quadratic polynomials. We invest...
International audienceWe review the use of techniques of positive currents for the study of param- e...
Hyperbolic components, in a reasonable space of polynomial or rational maps, are well understood. Bu...
Some themes inspired from number theory have been playing an important role in holomorphic and algeb...
this article we survey a small constellation of such conjectures, centering around the density of hy...
In this paper we review the use of techniques of positive currents for the study of parameter spaces...
We study the bifurcation of hyperbolic periodic orbits from a four-dimensional nonlinear center in a...
International audienceIn the space of degree d polynomials, the hypersurfaces defined by the existen...