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Robust Exponential Decay of Correlations for Singular-Flows

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An Erratum to this article was published on 19 October 2015

Abstract

We construct open sets of C k (k ≥ 2) vector fields with singularities that have robust exponential decay of correlations with respect to the unique physical measure. In particular we prove that the geometric Lorenz attractor has exponential decay of correlations with respect to the unique physical measure.

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Authors and Affiliations

  1. Instituto de Matemática, Universidade Federal da Bahia, Av. Ademar de Barros s/n, 40170-110, Salvador, Brazil

    Vítor Araújo

  2. Departamento de Matemática, Universidade Federal da Bahia, Av. Ademar de Barros s/n, 40170-110, Salvador, Brazil

    Paulo Varandas

Authors
  1. Vítor Araújo
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  2. Paulo Varandas
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Correspondence to Vítor Araújo.

Additional information

Communicated by G. Gallavotti

Part of this work was done during P.V. postdoctoral period at UFRJ-Rio de Janeiro with the financial support of FAPERJ (Brazil-Rio de Janeiro). P.V was partially supported by FAPESB. V.A. was partially supported by CNPq, PRONEX-Dyn.Syst. and FAPERJ.

An erratum to this article is available at http://dx.doi.org/10.1007/s00220-015-2478-6.

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Araújo, V., Varandas, P. Robust Exponential Decay of Correlations for Singular-Flows. Commun. Math. Phys. 311, 215–246 (2012). https://doi.org/10.1007/s00220-012-1445-8

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