Exponential Decay of Correlations for Nonuniformly Hyperbolic Flows with a $${{C^{1+\alpha}}}$$ C 1 + α Stable Foliation, Including the Classical Lorenz Attractor

Author:

Araújo Vitor,Melbourne Ian

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Nuclear and High Energy Physics,Statistical and Nonlinear Physics

Reference19 articles.

1. Araújo, V., Butterley, O., Varandas, P.: Open sets of Axiom A flows with exponentially mixing attractors. Proc. Am. Math. Soc. (2016, to appear). arXiv:1402.6654 .

2. Araújo V., Melbourne I., Varandas P.: Rapid mixing for the Lorenz attractor and statistical limit laws for their time-1 maps. Commun. Math. Phys 340, 901–938 (2015)

3. Araújo, V., Pacifico, M.J.: Three-dimensional flows. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics], vol. 53. Springer, Heidelberg (2010)

4. Araújo V., Pacifico M.J., Pujals E.R., Viana M.: Singular-hyperbolic attractors are chaotic. Trans. Am. Math. Soc. 361, 2431–2485 (2009)

5. Araújo, V., Varandas, P.: Robust exponential decay of correlations for singular-flows. Commun. Math. Phys. 311, 215–246 (2012). Erratum: Commun. Math. Phys. 341, 729–731 (2016)

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