6 papers
Bose-Einstein statistics for a finite number of particles
Pedro Pessoa
This article presents a study of the grand canonical Bose-Einstein (BE) statistics for a finite number of particles in an arbitrary quantum system. The thermodynamical quantities t…
Entropic dynamics yields reciprocal relations
Pedro Pessoa
Entropic dynamics is a framework for defining dynamical systems that is aligned with the principles of information theory. In an entropic dynamics model for motion on a statistical…
Entropic Dynamics of Networks
Felipe Xavier Costa, Pedro Pessoa
Here we present the entropic dynamics formalism for networks. That is, a framework for the dynamics of graphs meant to represent a network derived from the principle of maximum ent…
Legendre transformation and information geometry for the maximum entropy theory of ecology
Pedro Pessoa
Here I investigate some mathematical aspects of the maximum entropy theory of ecology (METE). In particular I address the geometrical structure of METE endowed by information geome…
Information geometry for Fermi-Dirac and Bose-Einstein quantum statistics
Pedro Pessoa, Carlo Cafaro
Information geometry is an emergent branch of probability theory that consists of assigning a Riemannian differential geometry structure to the space of probability distributions.…
Comment on "Black Hole Entropy: A Closer Look"
Pedro Pessoa, Bruno Arderucio Costa
In a recent paper [Entropy 2020, 22(1), 17] C. Tsallis states that entropy -- as in Shannon's or Kullback-Leiber's definitions -- is inadequate to interpret black hole entropy and…