We study the information geometry and the entropic dynamics of a three- dimensional Gaussian statistical model. We then compare our analysis to that of a two- dimensional Gaussian statistical model obtained from the higher-dimensional model via introduction of an additional information constraint that resembles the quantum mechan- ical canonical minimum uncertainty relation. We show that the chaoticity (temporal com- plexity) of the two-dimensional Gaussian statistical model, quantified by means of the information geometric entropy (IGE) and the Jacobi vector field intensity, is softened with respect to the chaoticity of the three-dimensional Gaussian statistical model.
Softening the complexity of entropic motion on curved statistical manifolds
LUPO, Cosmo;MANCINI, Stefano
2012-01-01
Abstract
We study the information geometry and the entropic dynamics of a three- dimensional Gaussian statistical model. We then compare our analysis to that of a two- dimensional Gaussian statistical model obtained from the higher-dimensional model via introduction of an additional information constraint that resembles the quantum mechan- ical canonical minimum uncertainty relation. We show that the chaoticity (temporal com- plexity) of the two-dimensional Gaussian statistical model, quantified by means of the information geometric entropy (IGE) and the Jacobi vector field intensity, is softened with respect to the chaoticity of the three-dimensional Gaussian statistical model.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
