Add to ORKGWe prove that the characterization of the critical locus for complex H\'enon maps that are small perturbations of quadratic polynomials with disconnected Julia sets given by Firsova holds in a much larger HOV-like region from the complex horseshoe locus. The techniques of this paper are non-perturbative.Comment: 49 pages, incl. references; 17 figure
We develop techniques for using compactifications of Hurwitz spaces to study families of rational ma...
In general a polynomial automorphism of the plane can be written as a composition of generalized Hen...
2 denote the moduli space of holomorphic conjugacy classes of quadratic rational maps on Ĉ. Let Per...
We consider the family of quadratic Hénon diffeomorphisms of the plane R2. A map will be said to be ...
Holomorphic renormalization plays an important role in complex polynomial dynamics. We consider cert...
This article discusses some topological properties of the dynamical plane ($z$-plane) of the holomor...
This is the announcement of a conjecture on a Hodge locus for cubic hypersurfaces.Comment: With an a...
We show the existence of open sets of bifurcations near Lattès maps of sufficiently high degree. In ...
There is a neat dichotomy for the Julia sets of quadratic rational maps; that is, they are either co...
The aim of this article is to give answers to the conjectures of John Hubbard about the topologyof h...
Let f be an infinitely-renormalizable quadratic polynomial and J_\infty be the intersection of forwa...
Abstract. The perturbations of complex polynomials of one variable are con-sidered in a wider class ...
This paper deals with Julia sets of polynomials and, more general, functions meromorphic on the comp...
Transcendental Henon maps are the natural extensions of the well investigated complex polynomial Hen...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
We develop techniques for using compactifications of Hurwitz spaces to study families of rational ma...
In general a polynomial automorphism of the plane can be written as a composition of generalized Hen...
2 denote the moduli space of holomorphic conjugacy classes of quadratic rational maps on Ĉ. Let Per...
We consider the family of quadratic Hénon diffeomorphisms of the plane R2. A map will be said to be ...
Holomorphic renormalization plays an important role in complex polynomial dynamics. We consider cert...
This article discusses some topological properties of the dynamical plane ($z$-plane) of the holomor...
This is the announcement of a conjecture on a Hodge locus for cubic hypersurfaces.Comment: With an a...
We show the existence of open sets of bifurcations near Lattès maps of sufficiently high degree. In ...
There is a neat dichotomy for the Julia sets of quadratic rational maps; that is, they are either co...
The aim of this article is to give answers to the conjectures of John Hubbard about the topologyof h...
Let f be an infinitely-renormalizable quadratic polynomial and J_\infty be the intersection of forwa...
Abstract. The perturbations of complex polynomials of one variable are con-sidered in a wider class ...
This paper deals with Julia sets of polynomials and, more general, functions meromorphic on the comp...
Transcendental Henon maps are the natural extensions of the well investigated complex polynomial Hen...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
We develop techniques for using compactifications of Hurwitz spaces to study families of rational ma...
In general a polynomial automorphism of the plane can be written as a composition of generalized Hen...
2 denote the moduli space of holomorphic conjugacy classes of quadratic rational maps on Ĉ. Let Per...