Stability of mixing and rapid mixing for hyperbolic flows

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The Lorenz Attractor is Mixing (2004, background): “Recently [11] it was shown that mixing holds for a C2-open and Cr -dense set of Cr uniformly hyperbolic (Axiom A) flows for all r ≥ 2. (In these references, mixing is proved for any equilibrium measure for a H¨ older potential.) However, the conditions for stable mixing in [ 11 ] are not easily veri”
Smooth approximation of stochastic differential equations (2014, background): “By [16], an open and dense set of Axiom A flows are rapid mixing.”
Averaging and Invariant Measures (2005, unknown): “(1) Anosov diffeomorphisms [7]; (2) time one maps of Anosov flows [15], [34], [22]; (3) partially hyperbolic translations on homogeneous spaces [32]; (4) compact group extensions of Anosov diffeomorphisms [17]; (5) partially hyperbolic toral automorphisms [28]; (6) mostly contracting systems (see…”