A relation between information entropy and variance [CEA]

http://arxiv.org/abs/1607.02768


We obtain an analytic relation between the information entropy and the variance of a distribution in the regime of small fluctuations. We use a set of Monte Carlo simulations of different homogeneous and inhomogeneous distributions to verify the relation and also test it in a set of cosmological N-body simulations. We find that the relation is in excellent agreement with the simulations and is independent of number density and the nature of the distributions. The relation would help us to relate entropy to other conventional measures and widen its scope.

Read this paper on arXiv…

B. Pandey
Tue, 12 Jul 16
49/71

Comments: 5 pages, 2 figures, Submitted to MNRAS, Comments are welcome. arXiv admin note: substantial text overlap with arXiv:1301.4961

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