Orthogonality and the hausdorff dimension of the maximal measure
AUTOR(ES)
Lopes, Artur Oscar
DATA DE PUBLICAÇÃO
2011
RESUMO
In this paper the orthogonality properties of iterated polynomials are shown to remain valid in some cases for rational maps. Using a functional equation fulfilled by the generating function, the author shows that the Hausdorff dimension of the maximal measure is a real analytical function of the coefficients of an Axiom A rational map satisfying the property that all poles of ƒ and zeros of ƒ’(z) have multiplicity one.
ASSUNTO(S)
ortogonalidade : medida maxima : dimensao de hausdorff
ACESSO AO ARTIGO
http://hdl.handle.net/10183/27485Documentos Relacionados
- Exact Hausdorff dimension in random recursive constructions
- Espectro e dimensão Hausdorff de operadores bloco-Jacobi com perturbações esparsas distribuídas aleatoriamente
- Dimensão de Hausdorff de ferraduras
- Dimensão de Hausdorff de conjuntos numéricos
- How many manoeuvres should be done to measure maximal inspiratory mouth pressure in patients with chronic airflow obstruction?