Add to ORKGIn the dynamics of quadratic polynomials Pc(z) = z2 + c in the complex plan, Yoccoz has proved that under suitable conditions the Julia set J(Pc) is locally connected. This result has been extended to the dynamics of uni-critical polynomials zd + c [5]. In this paper we extend the Yoccoz’s Theorem to polynomials on the Cone
According to the Thurston No Wandering Triangle Theorem, a branching point in a locally connected qu...
In this paper we present the alternated Julia sets, obtained by alternated iteration of two maps of ...
In this paper we present a unified proof of the fact that the Julia set of Newton's method applied t...
Local connectivity of Julia sets for unicritical polynomials By JEREMY KAHN and MIKHAIL LYUBICH We p...
In this paper we shall show that the Julia set of real polynomials of the form f(z) = z(l) + c(1) wi...
28 pages, 3 figures. The authors would like to thank the referee for his thorough reading of the man...
In this paper, we give a proof of Sullivan’s complex bounds for the Feigenbaum quadratic polynomial ...
AbstractLet P be a polynomial with a connected Julia set J. We use continuum theory to show that it ...
We prove that if the Julia set of a rational function is connected, and the trajectories of its crit...
Let 0 < θ < 1 be an irrational number with continued fraction expansion θ = [a1, a2, a3,...], ...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
For polynomials, local connectivity of Julia sets is a much-studied and important property. Indeed, ...
Consider a polynomial $f$ of degree $d \geq 2$ whose Julia set $J_f$ is connected. If $f$ has a Sieg...
We study the Chebyshev-Halley family of root finding algorithms from the point of view of holomorphi...
Let f be a polynomial with degree ≥ 2 and the Julia set J f locally connected. We give a partition o...
According to the Thurston No Wandering Triangle Theorem, a branching point in a locally connected qu...
In this paper we present the alternated Julia sets, obtained by alternated iteration of two maps of ...
In this paper we present a unified proof of the fact that the Julia set of Newton's method applied t...
Local connectivity of Julia sets for unicritical polynomials By JEREMY KAHN and MIKHAIL LYUBICH We p...
In this paper we shall show that the Julia set of real polynomials of the form f(z) = z(l) + c(1) wi...
28 pages, 3 figures. The authors would like to thank the referee for his thorough reading of the man...
In this paper, we give a proof of Sullivan’s complex bounds for the Feigenbaum quadratic polynomial ...
AbstractLet P be a polynomial with a connected Julia set J. We use continuum theory to show that it ...
We prove that if the Julia set of a rational function is connected, and the trajectories of its crit...
Let 0 < θ < 1 be an irrational number with continued fraction expansion θ = [a1, a2, a3,...], ...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
For polynomials, local connectivity of Julia sets is a much-studied and important property. Indeed, ...
Consider a polynomial $f$ of degree $d \geq 2$ whose Julia set $J_f$ is connected. If $f$ has a Sieg...
We study the Chebyshev-Halley family of root finding algorithms from the point of view of holomorphi...
Let f be a polynomial with degree ≥ 2 and the Julia set J f locally connected. We give a partition o...
According to the Thurston No Wandering Triangle Theorem, a branching point in a locally connected qu...
In this paper we present the alternated Julia sets, obtained by alternated iteration of two maps of ...
In this paper we present a unified proof of the fact that the Julia set of Newton's method applied t...