Add to ORKGWe prove that if the Julia set of a rational function is connected, and the trajectories of its critical points intersect the Julia set at only finitely many points, then the Julia set is locally connected
We show that, if the Julia set of a transcendental entire function is locally connected, then it tak...
In this paper we present a unified proof of the fact that the Julia set of Newton's method applied t...
Newton's method associated to a complex holomorphic function f is defined by the dynamical system Nf...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
This article deals with the question of local connectivity of the Julia set of polynomials and ratio...
AbstractLet P be a polynomial with a connected Julia set J. We use continuum theory to show that it ...
Local connectivity of Julia sets for unicritical polynomials By JEREMY KAHN and MIKHAIL LYUBICH We p...
For polynomials, local connectivity of Julia sets is a much-studied and important property. Indeed, ...
In this paper we shall show that the Julia set of real polynomials of the form f(z) = z(l) + c(1) wi...
In the dynamics of quadratic polynomials Pc(z) = z2 + c in the complex plan, Yoccoz has proved that...
International audienceWe show that the Fatou components of a semi-hyperbolic rational map are John d...
In this paper, we give a proof of Sullivan’s complex bounds for the Feigenbaum quadratic polynomial ...
O conjunto de Julia de um polinômio complexo P é conexo se, e somente se, as órbitas de seus pontos ...
In this thesis we study the topological properties of the Julia sets generated by iterating a single...
summary:In a series of papers, Bandt and the author have given a symbolic and topological descriptio...
We show that, if the Julia set of a transcendental entire function is locally connected, then it tak...
In this paper we present a unified proof of the fact that the Julia set of Newton's method applied t...
Newton's method associated to a complex holomorphic function f is defined by the dynamical system Nf...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
This article deals with the question of local connectivity of the Julia set of polynomials and ratio...
AbstractLet P be a polynomial with a connected Julia set J. We use continuum theory to show that it ...
Local connectivity of Julia sets for unicritical polynomials By JEREMY KAHN and MIKHAIL LYUBICH We p...
For polynomials, local connectivity of Julia sets is a much-studied and important property. Indeed, ...
In this paper we shall show that the Julia set of real polynomials of the form f(z) = z(l) + c(1) wi...
In the dynamics of quadratic polynomials Pc(z) = z2 + c in the complex plan, Yoccoz has proved that...
International audienceWe show that the Fatou components of a semi-hyperbolic rational map are John d...
In this paper, we give a proof of Sullivan’s complex bounds for the Feigenbaum quadratic polynomial ...
O conjunto de Julia de um polinômio complexo P é conexo se, e somente se, as órbitas de seus pontos ...
In this thesis we study the topological properties of the Julia sets generated by iterating a single...
summary:In a series of papers, Bandt and the author have given a symbolic and topological descriptio...
We show that, if the Julia set of a transcendental entire function is locally connected, then it tak...
In this paper we present a unified proof of the fact that the Julia set of Newton's method applied t...
Newton's method associated to a complex holomorphic function f is defined by the dynamical system Nf...