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Fast mixing for attractors with a mostly contracting central direction

2004; Cambridge University Press; Volume: 24; Issue: 1 Linguagem: Inglês

10.1017/s0143385703000294

1469-4417

AUGUSTO ARMANDO DE CASTRO JNIOR,

Stability and Controllability of Differential Equations

Bonatti and Viana introduced a robust (non-empty interior) class of partially hyperbolic attractors of C2-diffeomorphisms on a compact manifold, for which they construct Sinai–Ruelle–Bowen measures. For some such robust examples, we prove the exponential decay of correlations and the central limit theorem, in the space of Hölder continuous functions. For the proof, we adapt the techniques (backward inducing, redundancy elimination algorithm) we have previously developed.