| Texto completo | |
| Autor(es): |
Davalos, Pablo
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU; v. 17, n. 4, p. 913-978, SEP 2018. |
| Citações Web of Science: | 0 |
| Resumo | |
A classical article by Misiurewicz and Ziemian (J. Lond. Math. Soc. 40(2) (1989), 490-506) classifies the elements in Homeo(0)(T-2) by their rotation set rho, according to wether rho is a point, a segment or a set with nonempty interior. A recent classification of nonwandering elements in Homeo(0)(T-2) by Koropecki and Tal was given in (Invent. Math. 196 (2014), 339-381), according to the intrinsic underlying ambient space where the dynamics takes place: planar, annular and strictly toral maps. We study the link between these two classifications, showing that, even abroad the nonwandering setting, annular maps are characterized by rotation sets which are rational segments. Also, we obtain information on the sublinear diffusion of orbits in the-not very well understood-case that rho has nonempty interior. (AU) | |
| Processo FAPESP: | 11/14122-5 - Conjunto de Rotação de Homeomorfismos do Toro |
| Beneficiário: | Pablo Dávalos de La Peña |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |