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nlin.CD2007★ 48 cited
Jacobi Fields on Statistical Manifolds of Negative Curvature
Carlo Cafaro, S. A. Ali
Two entropic dynamical models are considered. The geometric structure of the statistical manifolds underlying these models is studied. It is found that in both cases, the resulting…
nlin.CD2007★ 18 cited
Information-Geometric Indicators of Chaos in Gaussian Models on Statistical Manifolds of Negative Ricci Curvature
Carlo Cafaro
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-ma…