Periodic Number for Anosov Maps

Let X be a compact metric space and let f:X . X be an Anosov map, i.e., an expansive selfmap with the pseudoorbit tracing property (abbr. POTP) (see Lemma 1). If Nn(f) denotes the number of fixed points of f. which we name here the n-periodic number then we prove in the case as n tends to infinity that n. . H. (f) . H., where M and H are two positive integers.