Softening the Complexity of Entropic Motion on Curved Statistical Manifolds
Mathematical Physics
2012-05-01 v1 math.MP
Quantum Physics
Abstract
We study the information geometry and the entropic dynamics of a 3D Gaussian statistical model. We then compare our analysis to that of a 2D Gaussian statistical model obtained from the higher-dimensional model via introduction of an additional information constraint that resembles the quantum mechanical canonical minimum uncertainty relation. We show that the chaoticity (temporal complexity) of the 2D 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 3D Gaussian statistical model.
Keywords
Cite
@article{arxiv.1110.6714,
title = {Softening the Complexity of Entropic Motion on Curved Statistical Manifolds},
author = {Carlo Cafaro and Adom Giffin and Cosmo Lupo and Stefano Mancini},
journal= {arXiv preprint arXiv:1110.6714},
year = {2012}
}
Comments
17 pages and 0 figures. To appear in Open Systems & Information Dynamics