Add to ORKGNeste trabalho estudamos algumas propriedades geométricas do Conjunto de Julia e do e Conjunto de Julia Cheio. Além disso, procuramos uma forma de mensurar o conjunto de Julia, para isso utilizamos a medida de Hausdorff e determinamos uma cota inferior para a dimensão de Hausdorff do conjunto de Julia.In this work we study some geometric properties of Julia sets and filled-in Julia sets of polynomials. In addition, we seek a form of measure the Julia set, for this we use the Hausdorff measure and determine a lower bound to the Hausdorff dimension of the Julia set.Coordenação de Aperfeiçoamento de Pessoal de Nível Superio
This dissertation is in the area of complex dynamics, more specifically focused on the iteration of ...
O campo da dinâmica complexa analítica tem sofrido um rápido desenvolvimento nos últimos 20 anos. De...
We gather known results on escape radii and add some facts and examples concerning the subject of co...
Se estudia la continuidad de la dimensión de Hausdorff d(c), de los conjuntos de Julia de una famili...
In recent years, geometric measure theory has become a very heated topic in mathematics. According t...
Neste trabalho, classificamos três tipos diferentes de conjunto de Julia obtidos através do Teorema ...
AbstractJulia sets or F sets, have been of considerable interest in current research. In this paper ...
In this paper we define and study the Julia set and the Fatou set of an arbitrary polynomial f, whic...
We construct Feigenbaum quadratic-like maps with a Julia set of positive Lebesgue measure. Indeed, i...
For a sequence (cn) of complex numbers we consider the quadratic polynomials fcn(z): = z 2 + cn and ...
Let f(z) = e(2 pi i theta)z(1 + z/d)(d), theta is an element of R/Q be a polynomial. If B is an irra...
Area and Hausdorff dimension of the set of accessible points of the Julia sets of λez and λ sin z by...
Seja f : C ! C uma fun»c~ao polinomial. O conjunto de Julia, J(f), associado a f, é o conjunto dos n...
We consider the class of transcendental meromorphic functions which have at least one pole and are n...
10 page, 4 figuresWe show that the supremum for $c$ real of the Hausdorff dimension of the Julia set...
This dissertation is in the area of complex dynamics, more specifically focused on the iteration of ...
O campo da dinâmica complexa analítica tem sofrido um rápido desenvolvimento nos últimos 20 anos. De...
We gather known results on escape radii and add some facts and examples concerning the subject of co...
Se estudia la continuidad de la dimensión de Hausdorff d(c), de los conjuntos de Julia de una famili...
In recent years, geometric measure theory has become a very heated topic in mathematics. According t...
Neste trabalho, classificamos três tipos diferentes de conjunto de Julia obtidos através do Teorema ...
AbstractJulia sets or F sets, have been of considerable interest in current research. In this paper ...
In this paper we define and study the Julia set and the Fatou set of an arbitrary polynomial f, whic...
We construct Feigenbaum quadratic-like maps with a Julia set of positive Lebesgue measure. Indeed, i...
For a sequence (cn) of complex numbers we consider the quadratic polynomials fcn(z): = z 2 + cn and ...
Let f(z) = e(2 pi i theta)z(1 + z/d)(d), theta is an element of R/Q be a polynomial. If B is an irra...
Area and Hausdorff dimension of the set of accessible points of the Julia sets of λez and λ sin z by...
Seja f : C ! C uma fun»c~ao polinomial. O conjunto de Julia, J(f), associado a f, é o conjunto dos n...
We consider the class of transcendental meromorphic functions which have at least one pole and are n...
10 page, 4 figuresWe show that the supremum for $c$ real of the Hausdorff dimension of the Julia set...
This dissertation is in the area of complex dynamics, more specifically focused on the iteration of ...
O campo da dinâmica complexa analítica tem sofrido um rápido desenvolvimento nos últimos 20 anos. De...
We gather known results on escape radii and add some facts and examples concerning the subject of co...