Portal de Periódicos da CAPES

Artigo Acesso aberto Produção Nacional Revisado por pares

BIBTEX RIS

Statistical stability for robust classes of maps with non-uniform expansion

2002; Cambridge University Press; Volume: 22; Issue: 01 Linguagem: Inglês

10.1017/s0143385702000019

1469-4417

José F. Alves, Marcelo Viana,

Mathematical Dynamics and Fractals

We consider open sets of transformations in a manifold M, exhibiting non-uniformly expanding behavior in some forward invariant domain U\subset M. Assuming that each transformation has a unique Sinai–Ruelle–Bowen (SRB) measure in U, and some general uniformity conditions, we prove that the SRB measure varies continuously with the dynamics in the L1-norm. We also describe a concrete application.