| Texto completo | |
| Autor(es): |
Boyland, Philip
;
De Carvalho, Andre
;
Hall, Toby
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Ergodic Theory and Dynamical Systems; v. 35, p. 26-pg., 2015-12-01. |
| Resumo | |
Consider the space of sequences of k letters ordered lexicographically. We study the set M (alpha) of all maximal sequences for which the asymptotic proportions alpha of the letters are prescribed, where a sequence is said to be maximal if it is at least as great as all of its tails. The infimum of M (alpha) is called the alpha-infimax sequence, or the alpha-minimax sequence if the infimum is a minimum. We give an algorithm which yields all infimax sequences, and show that the infimax is not a minimax if and only if it is the alpha-infimax for every alpha in a simplex of dimension 1 or greater. These results have applications to the theory of rotation sets of beta-shifts and torus homeomorphisms. (AU) | |
| Processo FAPESP: | 11/17581-0 - Métodos topológicos em dinâmica de superfícies: da família de Hénon a conjuntos de rotação no toro |
| Beneficiário: | André Salles de Carvalho |
| Modalidade de apoio: | Auxílio à Pesquisa - Pesquisador Visitante - Internacional |
| Processo FAPESP: | 10/09667-0 - Métodos topológicos em dinâmica em baixas dimensões |
| Beneficiário: | André Salles de Carvalho |
| Modalidade de apoio: | Auxílio à Pesquisa - Pesquisador Visitante - Internacional |