Information-Geometric Indicators of Chaos in Gaussian Models on Statistical Manifolds of Negative Ricci Curvature

Abstract

A new information-geometric approach to chaotic dynamics on curved statistical manifolds based on Entropic Dynamics (ED) is proposed. It is shown that the hyperbolicity of a non-maximally symmetric 6N-dimensional statistical manifold M_{s} underlying an ED Gaussian model describing an arbitrary system of 3N degrees of freedom leads to linear information-geometric entropy growth and to exponential divergence of the Jacobi vector field intensity, quantum and classical features of chaos respectively.

8 pages, final version accepted for publication

References in corpus (4)

• Updating Probabilities
• Jacobi Fields on Statistical Manifolds of Negative Curvature
• Hypersensitivity and chaos signatures in the quantum baker's maps
• Information Geometry and Chaos on Negatively Curved Statistical Manifolds

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