INSTITUTO DE FISICA LA PLATA
Unidad Ejecutora - UE
congresos y reuniones científicas
Ergodic statistical models: entropic dynamics and chaos
MARIELA PORTESI; IGNACIO SEBASTIÁN GOMEZ
Workshop; MaxEnt 2016 36th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering; 2016
We present an extension of the ergodic, mixing and Bernoulli levels of the ergodic hierarchy in dynamical systems, the information geometric ergodic hierarchy, making use of statistical models on curved manifolds in the context of information geometry. We discuss the 2x2 Gaussian Orthogonal Ensembles (GOE) within a 2D correlated model. For values of the correlation coefficient vanishingly small, we find that GOE belong to the information geometric (IG) mixing level having a maximum negative value of scalar curvature.Moreover, we propose a measure of distinguishability for the family ofdistributions of the 2D correlated model that results to be an upper bound of the IG correlation.