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The classical Lorenz flow, and any flow which is close to it in the $C^2$-topology, satisfies a Central Limit Theorem (CLT).
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V. Araújo, I. Melbourne. Mixing properties and statistical limit theorems for singular hyperbolic flows without a smooth stable foliation. Adv. Math
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M.F. Demers, H.-K. Zhang, A functional analytic approach to perturbations of the Lorentz gas. Commun. Math. Phys
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J. F. Alves, M. Soufi. Statistical stability of geometric Lorenz attractors. Fund. Math
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V. Araújo, S. Galatolo, M. J. Pacífico. Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors. Math. Z
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W. Bahsoun, M. Ruziboev. On the statistical stability of Lorenz attractors with C 1 + α C^{1+\alpha} stable foliation. Ergodic Theory Dynam. Systems
2019
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R. T. Bortolotti. Physical measures for certain partially hyperbolic attractors on 3-manifolds. Ergodic Theory Dynam. Systems
2019
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S. Galatolo, R. Lucena. Spectral Gap and quantitative statistical stability for systems with contracting fibres and Lorenz like maps. Discrete Contin. Dyn. Syst
2020
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