We consider C1 Anosov diffeomorphisms on a compact Riemannian manifold. Wedefine the weak pseudo-physical measures, which include the physical measureswhen these latter exist. We prove that ergodic weak pseudo-physical measures doexist, and that the set of invariant probability measures that satisfy Pesin'sEntropy Formula is the weak*-closed convex hull of the ergodic weakpseudo-physical measures. In brief, we give in the C1-scenario of uniformhyperbolicity, a characterization of Pesin's Entropy Formula in terms ofphysical-like properties.
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