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Robust exponential decay of correlations for singular-flows (1101.2915v4)
Published 14 Jan 2011 in math.DS, math-ph, and math.MP
Abstract: 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.