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Sinai–Ruelle–Bowen measure: Difference between revisions

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# <math>\mu</math> is an SRB measure;
# <math>\mu</math> has absolutely continuous measures conditioned on the unstable manifold and submanifolds thereof;
# <math>h(fT) = \int \left| \det(DfD T)|_{E^u} \right| \, d\mu</math>, where <math>h</math> is the [[Kolmogorov-Sinai entropy]] and <math>E^u</math> is the [[unstable manifold]].
Also, in these conditions <math>\left(T, X, \mathcal{B}(X), \mu \right)</math> is a [[measure-preserving dynamical system]].
 
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