Open Conference Systems, StatPhys 27 Main Conference

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Information-geometric structures derived from group relative entropies
Mariela Portesi

##manager.scheduler.building##: Edificio Santa Maria
##manager.scheduler.room##: Auditorio San Agustin
Date: 2019-07-10 12:00 PM – 03:45 PM
Last modified: 2019-06-14

Abstract


Based on the notion of group relative entropy, we derive the associated Fisher metric from a geometrical point of view. In particular we consider the Boltzmann-Gibbs, Tsallis, Kaniadakis and Abe classes. Our study reveals that the group Fisher metric is a tool for characterizing statistical models in various aspects: generalization of Fisher information measures and complexities associated with group entropies, connection between correlated and uncorrelated models, link of global geometric indicators with macroscopic quantities. We illustrate these features with the canonical ensemble of a pair of interacting harmonic oscillators.