Statistical stability for robust classes of maps with non-uniform expansion
| dc.creator | Alves, Jose F. | |
| dc.creator | Viana, Marcelo | |
| dc.date | 2000-11-22 | |
| dc.date.accessioned | 2026-07-07T04:38:46Z | |
| dc.date.available | 2026-07-07T04:38:46Z | |
| dc.description | We consider open sets of maps in a manifold $M$ exhibiting non-uniform expanding behaviour in some domain $S\subset M$. Assuming that there is a forward invariant region containing $S$ where each map has a unique SRB measure, we prove that under general uniformity conditions, the SRB measure varies continuously in the $L^1$-norm with the map. As a main application we show that the open class of maps introduced in [V] fits to this situation, thus proving that the SRB measures constructed in [A] vary continuously with the map. | |
| dc.description | 42 pages | |
| dc.identifier | https://arxiv.org/abs/math/0011183 | |
| dc.identifier | http://arxiv.org/abs/math/0011183 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60414 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37D25, 37D45 | |
| dc.title | Statistical stability for robust classes of maps with non-uniform expansion | |
| dc.type | text |