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