Softening the Complexity of Entropic Motion on Curved Statistical Manifolds

Details Softening the Complexity of Entropic Motion on Curved Statistical Manifolds Softening the Complexity of Entropic Motion on Curved Statistical Manifolds

2011-10-31

arxiv.org/abs/1110.6714v1

Physics

Mathematical Physics

17 pages and 0 figures. To appear in Open Systems & Information Dynamics

Scientific paper

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.

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