Add to ORKGA holomorphic endomorphism f of CP2 admits a Julia set J1, defined as usual to be the locus of non-normality of its iterates (fn)n≥0, and a (typically) smaller Julia set J2, which is essentially the closure of the set of repelling periodic orbits. The question has been raised whether J1 \ J2 is filled (possibly in a measure-theoretic sense) with "Fatou subvarieties" along which the dynamics is locally equicontinuous. In this article we construct examples showing that this is not the case in general
AbstractWe consider maps in the tangent family for which the asymptotic values are eventually mapped...
This thesis is devoted to holomorphic dynamics in two complex variables, and the theory of laminar c...
In this thesis we study holomorphic dynamical systems depending on parameters. Our main goal is to c...
International audienceNot much is known about the dynamics outside the support of the maximal entrop...
AbstractWe study the dynamics on the Julia set for holomorphic endomorphisms of CPk. The Julia set i...
Let $f$ be a post-critically finite endomorphism (PCF map for short) on $\mathbb{P}^2$, let $J_1$ de...
We give a definition for a Julia set J(f) for generic classes of polynomial endomorphisms f : C n ...
The dissertation is divided into three parts. Firstly, we have established the technique of the high...
International audienceWe introduce a notion of stability for equilibrium measures in holomorphic fam...
We deal with all the mappings f (z) = e that have an attracting periodic orbit. We consider the s...
Abstract. We consider hyperbolic sets of saddle type for holomorphic map-pings in P2. Our main resul...
We study the dynamics of a generic endomorphism f of an Oka-Stein manifold X. Such manifolds include...
We consider a sequence of entire functions (g(m)) converging to a limit function g locally uniformly...
We construct a canonical Green current Tf for every quasi-algebraically stable meromorphic self-map ...
We study the equilibrium measure µ = T ∧ T of endomorphisms f of CP(2) of degree d ≥ 2, where T is t...
AbstractWe consider maps in the tangent family for which the asymptotic values are eventually mapped...
This thesis is devoted to holomorphic dynamics in two complex variables, and the theory of laminar c...
In this thesis we study holomorphic dynamical systems depending on parameters. Our main goal is to c...
International audienceNot much is known about the dynamics outside the support of the maximal entrop...
AbstractWe study the dynamics on the Julia set for holomorphic endomorphisms of CPk. The Julia set i...
Let $f$ be a post-critically finite endomorphism (PCF map for short) on $\mathbb{P}^2$, let $J_1$ de...
We give a definition for a Julia set J(f) for generic classes of polynomial endomorphisms f : C n ...
The dissertation is divided into three parts. Firstly, we have established the technique of the high...
International audienceWe introduce a notion of stability for equilibrium measures in holomorphic fam...
We deal with all the mappings f (z) = e that have an attracting periodic orbit. We consider the s...
Abstract. We consider hyperbolic sets of saddle type for holomorphic map-pings in P2. Our main resul...
We study the dynamics of a generic endomorphism f of an Oka-Stein manifold X. Such manifolds include...
We consider a sequence of entire functions (g(m)) converging to a limit function g locally uniformly...
We construct a canonical Green current Tf for every quasi-algebraically stable meromorphic self-map ...
We study the equilibrium measure µ = T ∧ T of endomorphisms f of CP(2) of degree d ≥ 2, where T is t...
AbstractWe consider maps in the tangent family for which the asymptotic values are eventually mapped...
This thesis is devoted to holomorphic dynamics in two complex variables, and the theory of laminar c...
In this thesis we study holomorphic dynamical systems depending on parameters. Our main goal is to c...