| Texto completo | |
| Autor(es): |
Pires, Benito
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | COMPTES RENDUS MATHEMATIQUE; v. 354, n. 7, p. 717-722, JUL 2016. |
| Citações Web of Science: | 0 |
| Resumo | |
We say that f : {[}0, 1] -> {[}0, 1] is a piecewise continuous interval map if there exists a partition 0 = x(0) < x(1) < ... < x(d) < x(d+1) = 1 of {[}0, 1] such that f vertical bar((xi-1, xi)) is continuous and the lateral limits w(0)(+) = lim(x -> 0+) f(x), w(d+1)(-) = lim(x -> 1-) f(x), w(i)(-) = lim(x -> xi-) f(x) and w(i)(+) = lim(x -> xi+) f(x) exist for each i. We prove that every piecewise continuous interval map without connections admits an invariant Borel probability measure. We also prove that every injective piecewise continuous interval map with no connections and no periodic orbits is topologically semiconjugate to an interval exchange transformation. (C) 2016 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved. (AU) | |
| Processo FAPESP: | 15/20731-5 - Contrações por pedaços definidas no Rn |
| Beneficiário: | Benito Frazao Pires |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |