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arXiv · 1005.2292

The Effect Of Microscopic Correlations On The Information Geometric Complexity Of Gaussian Statistical Models

S. A. Ali·C. Cafaro·D. -H. Kim·S. Mancini
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Abstract

We present an analytical computation of the asymptotic temporal behavior of the information geometric complexity (IGC) of finite-dimensional Gaussian statistical manifolds in the presence of microcorrelations (correlations between microvariables). We observe a power law decay of the IGC at a rate determined by the correlation coefficient. It is found that microcorrelations lead to the emergence of an asymptotic information geometric compression of the statistical macrostates explored by the system at a faster rate than that observed in absence of microcorrelations. This finding uncovers an important connection between (micro)-correlations and (macro)-complexity in Gaussian statistical dynamical systems.

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S. A. Ali, C. Cafaro, D. -H. Kim, S. Mancini. 2010-05-13. The Effect Of Microscopic Correlations On The Information Geometric Complexity Of Gaussian Statistical Models. https://doi.org/10.1016/j.physa.2010.03.028

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