Add to ORKGAbstract. We show that if P is a quadratic polynomial with a fixed Cremer point and Julia set J, then for any monotone map ϕ: J → A from J onto a locally connected continuum A, A is a single point. 1
It is known that the disconnected Julia set of any polynomial map does not contain buried Julia comp...
The connectedness of the tongues of the double standard map family is shown by quasiconformal deform...
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 ...
AbstractWe study the topology of the Julia set of a quadratic Cremer polynomial P. Our main tool is ...
International audienceIn general, little is known about the exact topological structure of Julia set...
AbstractLet ƒ be a continuous map from a compact metric continuum X onto a continuum Y. Then ƒ is qu...
73 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.In 2000, Kiwi proved that poly...
Let f be a polynomial with degree ≥ 2 and the Julia set J f locally connected. We give a partition o...
In this paper, we give a proof of Sullivan’s complex bounds for the Feigenbaum quadratic polynomial ...
21 pages, 13 figuresInternational audienceAccording to the Thurston No Wandering Triangle Theorem, a...
Local connectivity of Julia sets for unicritical polynomials By JEREMY KAHN and MIKHAIL LYUBICH We p...
Let 0 < θ < 1 be an irrational number with continued fraction expansion θ = [a1, a2, a3,...], ...
Abstract. Any Jordan curve in the complex plane can be approxi-mated arbitrarily well in the Hausdor...
In the dynamics of quadratic polynomials Pc(z) = z2 + c in the complex plan, Yoccoz has proved that...
It is known that the disconnected Julia set of any polynomial map does not contain buried Julia comp...
The connectedness of the tongues of the double standard map family is shown by quasiconformal deform...
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 ...
AbstractWe study the topology of the Julia set of a quadratic Cremer polynomial P. Our main tool is ...
International audienceIn general, little is known about the exact topological structure of Julia set...
AbstractLet ƒ be a continuous map from a compact metric continuum X onto a continuum Y. Then ƒ is qu...
73 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.In 2000, Kiwi proved that poly...
Let f be a polynomial with degree ≥ 2 and the Julia set J f locally connected. We give a partition o...
In this paper, we give a proof of Sullivan’s complex bounds for the Feigenbaum quadratic polynomial ...
21 pages, 13 figuresInternational audienceAccording to the Thurston No Wandering Triangle Theorem, a...
Local connectivity of Julia sets for unicritical polynomials By JEREMY KAHN and MIKHAIL LYUBICH We p...
Let 0 < θ < 1 be an irrational number with continued fraction expansion θ = [a1, a2, a3,...], ...
Abstract. Any Jordan curve in the complex plane can be approxi-mated arbitrarily well in the Hausdor...
In the dynamics of quadratic polynomials Pc(z) = z2 + c in the complex plan, Yoccoz has proved that...
It is known that the disconnected Julia set of any polynomial map does not contain buried Julia comp...
The connectedness of the tongues of the double standard map family is shown by quasiconformal deform...
This article deals with the question of local connectivity of the Julia set of polynomials and ratio...