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Statistical stability for robust classes of maps with non-uniform expansion | Jose F. Alves
; Marcelo Viana
; | Date: |
22 Nov 2000 | Subject: | Dynamical Systems MSC-class: 37D25, 37D45 | math.DS | Abstract: | We consider open sets of maps in a manifold $M$ exhibiting non-uniform expanding behaviour in some domain $Ssubset M$. 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. | Source: | arXiv, math.DS/0011183 | Services: | Forum | Review | PDF | Favorites |
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