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20172023
most citedInformation geometry for Fermi-Dirac and Bose-Einstein quantum statistics

22 citations · 61 across the 11 of their papers we have counts for

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Showing 2021Show all

6 papers · 1 filter

cond-mat.quant-gas2021

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…

cond-mat.stat-mech2021

Statistical Mechanics of Unconfined Systems: Challenges and Lessons

Bruno Arderucio Costa, Pedro Pessoa

Motivated by applications of statistical mechanics in which the system of interest is spatially unconfined, we present an exact solution to the maximum entropy problem for assignin…

math.DS2021

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…

physics.soc-ph2021★ 3 cited

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…

q-bio.PE2021

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…

quant-ph2021★ 22 cited

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.…