Intensive entropic non-triviality measure

P.w Lamberti, M.t Martin, A Plastino and O.a Rosso

Physica A: Statistical Mechanics and its Applications, 2004, vol. 334, issue 1, 119-131

Abstract: We discuss a way of characterizing probability distributions, complementing that provided by the celebrated notion of information measure, with reference to a measure of complexity that we call a “nontriviality measure”. Our starting point is the “LMC” measure of complexity advanced by López-Ruiz et al. (Phys. Lett. A 209 (1995) 321) and its analysis by Anteneodo and Plastino (Phys. Lett. A 223 (1997) 348). An improvement of some of their troublesome characteristics is thereby achieved. Basically, we replace the Euclidean distance to equilibrium by the Jensen–Shannon divergence. The resulting measure turns out to be (i) an intensive quantity and (ii) allows one to distinguish between different degrees of periodicity. We apply the “cured” measure to the logistic map so as to clearly exhibit its advantages.

Keywords: Disequilibrium; Distances in probability space; Dynamical systems (search for similar items in EconPapers)
Date: 2004
References: View complete reference list from CitEc
Citations: View citations in EconPapers (49)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:334:y:2004:i:1:p:119-131

DOI: 10.1016/j.physa.2003.11.005

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