Add to ORKGAbstract. Devaney and Krych showed that for 0 < λ < 1/e the Julia set of λez consists of pairwise disjoint curves, called hairs, which connect finite points, called the endpoints of the hairs, with ∞. McMullen showed that the Julia set has Hausdorff dimension 2 and Karpińska showed that the set of hairs without endpoints has Hausdorff dimension 1. We study for which gauge functions the Hausdorff measure of the set of hairs without endpoints is finite. 1. Introduction an
In this paper we extend Shishikura's result on the Hausdorff dimension of the boundary of the Mandel...
Abstract. We show that if the growth of a transcendental entire function f is suffi-ciently regular,...
Let $f$ be a transcendental meromorphic function with finitely many poles such that the finite singu...
Area and Hausdorff dimension of the set of accessible points of the Julia sets of λez and λ sin z by...
Abstract. For 0 < λ < 1/e the Julia set of λez is an uncountable union of pairwise dis-joint s...
Se estudia la continuidad de la dimensión de Hausdorff d(c), de los conjuntos de Julia de una famili...
We consider the class of transcendental meromorphic functions which have at least one pole and are n...
AbstractIt is shown that there exist subsets A and B of the real line which are recursively construc...
In recent years, geometric measure theory has become a very heated topic in mathematics. According t...
In the thesis we pursue the term Hausdorff measure and dimension. Hausdorff measure is a non-negativ...
AbstractWe consider the exponential maps ƒλ : ℂ → ℂ defined by the formula ƒλ (z) = λez, λ(0,1/e]. L...
We study lower and upper bounds of the Hausdorff dimension for sets which are wiggly at scales of po...
A closed interval and circle are the only smooth Julia sets in polynomial dynamics. D. Ruelle proved...
This thesis provides an answer to the question what order of growth an optimal gauge function for Ju...
Neste trabalho estudamos algumas propriedades geométricas do Conjunto de Julia e do e Conjunto de Ju...
In this paper we extend Shishikura's result on the Hausdorff dimension of the boundary of the Mandel...
Abstract. We show that if the growth of a transcendental entire function f is suffi-ciently regular,...
Let $f$ be a transcendental meromorphic function with finitely many poles such that the finite singu...
Area and Hausdorff dimension of the set of accessible points of the Julia sets of λez and λ sin z by...
Abstract. For 0 < λ < 1/e the Julia set of λez is an uncountable union of pairwise dis-joint s...
Se estudia la continuidad de la dimensión de Hausdorff d(c), de los conjuntos de Julia de una famili...
We consider the class of transcendental meromorphic functions which have at least one pole and are n...
AbstractIt is shown that there exist subsets A and B of the real line which are recursively construc...
In recent years, geometric measure theory has become a very heated topic in mathematics. According t...
In the thesis we pursue the term Hausdorff measure and dimension. Hausdorff measure is a non-negativ...
AbstractWe consider the exponential maps ƒλ : ℂ → ℂ defined by the formula ƒλ (z) = λez, λ(0,1/e]. L...
We study lower and upper bounds of the Hausdorff dimension for sets which are wiggly at scales of po...
A closed interval and circle are the only smooth Julia sets in polynomial dynamics. D. Ruelle proved...
This thesis provides an answer to the question what order of growth an optimal gauge function for Ju...
Neste trabalho estudamos algumas propriedades geométricas do Conjunto de Julia e do e Conjunto de Ju...
In this paper we extend Shishikura's result on the Hausdorff dimension of the boundary of the Mandel...
Abstract. We show that if the growth of a transcendental entire function f is suffi-ciently regular,...
Let $f$ be a transcendental meromorphic function with finitely many poles such that the finite singu...