Groups, information theory, and Einstein's likelihood principle

We propose a unifying picture where the notion of generalized entropy is related to information theory by means of a group-theoretical approach. The group structure comes from the requirement that an entropy be well defined with respect to the composition of independent systems, in the context of a recently proposed generalization of the Shannon-Khinchin axioms. We associate to each member of a large class of entropies a generalized information measure, satisfying the additivity property on a set of independent systems as a consequence of the underlying group law. At the same time, we also show that Einstein's likelihood function naturally emerges as a byproduct of our informational interpretation of (generally nonadditive) entropies. These results confirm the adequacy of composable entropies both in physical and social science contexts.

La repetición, una interpretación psicoanalítica: Freud y Lacan

The following dissertation is framed by the psychoanalytic line of thought inaugurated by Sigmund Freud and rethought by Jacques Lacan. The starting point of this work is the notion of repetition, which finds its utmost reason in what Freud called compulsive repetition. The idea of repetition, besides being called by Lacan as one of the foundations of Psychoanalysis, articulates a series of theoretical landmarks which, in turn, constitute Psychoanalysis’ own arguments – whether linked to clinical practice or articulated around metapsychological reflection of the psychoanalytical field. This dissertation is gravitates around four specific theoretical moments: two Freudian ones and two Lacanian ones. The latter taking place during the period called “The return to Freud”, which comprises the period from 1953 to 1964. In this period, the postfreudian developments deviate from Freudian theory, as well as the psychoanalytic method, which is reviewed by poststructuralism. Altogether, the four moments being analyzed are: in Freud, the “repetition linked to the act” in 1914, and the “repetition as such” developed in Beyond the Pleasure Principle in 1920.In Lacan, the theory of “the insistence of the signifier” from 1955 and what he later named as the “failed encounter with the real” in 1964...