JournalsaihpcVol. 23, No. 5pp. 713–752

Random perturbations and statistical properties of Hénon-like maps

  • Michael Benedicks

    Royal Institute of Technology (KTH), Department of Mathematics, S-100 44 Stockholm, Sweden

  • Marcelo Viana

    Instituto de Matemática Pura e Aplicada (IMPA), Est. D. Castorina 110, Jardim Botânico, 22460-320 Rio de Janeiro, Brazil
Random perturbations and statistical properties of Hénon-like maps cover
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Abstract

For a large class of non-uniformly hyperbolic diffeomorphisms, we prove stochastic stability under small random noise: the unique stationary probability measure of the Markov chain converges to the Sinai–Ruelle–Bowen measure of the unperturbed attractor when the noise level tends to zero.

Cite this article

Michael Benedicks, Marcelo Viana, Random perturbations and statistical properties of Hénon-like maps. Ann. Inst. H. Poincaré Anal. Non Linéaire 23 (2006), no. 5, pp. 713–752

DOI 10.1016/J.ANIHPC.2004.10.013