Sinai–Ruelle–Bowen measure: Difference between revisions

Content deleted Content added
Existence of SRB measures: Forgot T-invariant
Existence of SRB measures: Actually it is stronger than that
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# <math>\mu</math> has absolutely continuous measures conditioned on unstable manifolds;
# <math>h(f) = \int \left| \det(Df)|_{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>\mu</math> is <math>left(T</math>-invariant, that isX, <math>\mumathcal{B}(T AX), =\mu \mu(Aright)</math> foris anya <math>A[[measure-preserving \subsetdynamical X</math>system]].
 
==See also==