Weak Pseudo-Physical Measures and Pesin's Entropy Formula for Anosov C1 diffeomorphisms

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

Equilibrium States and SRB-like measures of C1 Expanding Maps of the Circle

For any C1 expanding map f of the circle we study the equilibrium states for the potential -log |f'|. We formulate a C1 generalization of Pesin's Entropy Formula that holds for all the SRB measures if they exist, and for all the (necessarily existing) SRB-like measures. In the C1-generic case Pesin's Entropy Formula holds for a unique SRB measure which is not absolutely continuous with respect to Lebesgue. The result also stands in the non generic case for which no SRB measure exists.Comment: Un this version we include some addings and corrections that were suggested by the referees. The final version will appear in Portugaliae Mathematica and will be available at http://www.ems-ph.org/journals/journal.php?jrn=p

La col·lecció d’arqueologia del Museu d’Història de Sabadell: origen i evolució

En aquest article s’explica com l’arqueologia ha nodrit la primera col·lecció del Museu, quin ha estat el seucreixement i quina ha estat la seva evolució amb relació a la intensitat i caracterització dels treballs d’arqueologiade cada època, des de l’arqueologia local erudita fins a l’actual arqueologia de salvament, passant per larecerca universitària