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arxiv: 1101.2915 · v4 · pith:STJ6TLIBnew · submitted 2011-01-14 · 🧮 math.DS · math-ph· math.MP

Robust exponential decay of correlations for singular-flows

classification 🧮 math.DS math-phmath.MP
keywords correlationsdecayexponentialmeasurephysicalrespectrobustunique
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We construct open sets of Ck (k bigger or equal to 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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