| Autor(es): |
Número total de Autores: 2
|
| Afiliação do(s) autor(es): | [1] Ecole Normale Super, DMA, UMR CNRS 8553, F-75005 Paris - France
[2] Univ Copenhagen, Dept Math Sci, DK-2100 Copenhagen - Denmark
[3] ICMC USP, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil
Número total de Afiliações: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE; v. 45, n. 6, p. 861-926, NOV-DEC 2012. |
| Citações Web of Science: | 9 |
| Resumo | |
We consider C-2 families t -> of C-4 unimodal maps ft whose critical point is slowly recurrent, and we show that the unique absolutely continuous invariant measure mu(t) of ft depends differentiably on t, as a distribution of order 1. The proof uses transfer operators on towers whose level boundaries are mollified via smooth cutoff functions, in order to avoid artificial discontinuities. We give a new representation of eat for a Benedicks-Carleson map ft, in terms of a single smooth function and the inverse branches of ft along the postcritical orbit. Along the way, we prove that the twisted cohomological equation nu = alpha o f - f' has a continuous solution alpha, if f is Benedicks-Carleson and nu is horizontal for f. (AU) | |
| Processo FAPESP: | 08/02841-4 - Teoria topológica, geométrica e ergódica dos sistemas dinâmicos |
| Beneficiário: | Jorge Manuel Sotomayor Tello |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |
| Processo FAPESP: | 10/08654-1 - Propriedades espectrais do operador de renormalização |
| Beneficiário: | Daniel Smania Brandão |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |