Add to ORKGNon-renormalizable Newton maps are rigid. More precisely, we prove that their Julia set carries no invariant line fields and that the topological conjugacy is equivalent to quasi-conformal conjugacy in this case
International audienceIn this paper we prove existence and uniqueness of matings of a large class of...
24 pagesRenormalizations can be considered as building blocks of complex dynamical systems. This phe...
In this paper geometric properties of infinitely renormalizable real Henon-like maps F in R-2 are st...
9 figuresWe study rigidity of rational maps that come from Newton's root finding method for polynomi...
A general approach is proposed to prove that the combination of expansion with bounded distortion yi...
The Fatou conjecture (or the HD conjecture) asserts that any rational function can be approximated b...
We prove the existence of rational maps having smooth degenerate Herman rings. This answers a questi...
A general approach is proposed to prove that the combination of expansion with bounded distortion yi...
The period-doubling Cantor sets of strongly dissipative Henon-like maps with different average Jacob...
We prove that topologically conjugate non-renormalizable polynomials are quasi-conformally conjugate...
AbstractIn this article, we develop the Yoccoz puzzle technique to study a family of rational maps t...
Abstract. We describe a new and robust method to prove rigidity results in complex dynamics. The new...
Let $ f$ be a rational function such that the multipliers of all repelling periodic points are real....
We prove that a long iteration of rational maps is expansive near boundaries of bounded type Siegel ...
Holomorphic renormalization plays an important role in complex polynomial dynamics. We consider cert...
International audienceIn this paper we prove existence and uniqueness of matings of a large class of...
24 pagesRenormalizations can be considered as building blocks of complex dynamical systems. This phe...
In this paper geometric properties of infinitely renormalizable real Henon-like maps F in R-2 are st...
9 figuresWe study rigidity of rational maps that come from Newton's root finding method for polynomi...
A general approach is proposed to prove that the combination of expansion with bounded distortion yi...
The Fatou conjecture (or the HD conjecture) asserts that any rational function can be approximated b...
We prove the existence of rational maps having smooth degenerate Herman rings. This answers a questi...
A general approach is proposed to prove that the combination of expansion with bounded distortion yi...
The period-doubling Cantor sets of strongly dissipative Henon-like maps with different average Jacob...
We prove that topologically conjugate non-renormalizable polynomials are quasi-conformally conjugate...
AbstractIn this article, we develop the Yoccoz puzzle technique to study a family of rational maps t...
Abstract. We describe a new and robust method to prove rigidity results in complex dynamics. The new...
Let $ f$ be a rational function such that the multipliers of all repelling periodic points are real....
We prove that a long iteration of rational maps is expansive near boundaries of bounded type Siegel ...
Holomorphic renormalization plays an important role in complex polynomial dynamics. We consider cert...
International audienceIn this paper we prove existence and uniqueness of matings of a large class of...
24 pagesRenormalizations can be considered as building blocks of complex dynamical systems. This phe...
In this paper geometric properties of infinitely renormalizable real Henon-like maps F in R-2 are st...