  We discuss different aspects of the present status of the Statistical Physics
focusing the attention on the non-extensive systems, and in particular, on the
so called small systems. Multimicrocanonical Distribution and some of its
geometric aspects are presented. The same could be a very atractive way to
generalize the Thermodynamics. It is suggested that if the Multimicrocanonical
Distribution could be equivalent in the Thermodynamic Limit with some
generalized Canonical Distribution, then it is possible to estimate the
entropic index of the non-extensive thermodynamics of Tsallis without any
additional postulates.
