Intensive entropic non-triviality measure

PEDRO W. LAMBERTI; MARÍA T. MARTIN; ANGEL PLASTINO; OSVALDO ROSSO

PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS

Elsevier

Lugar: Amsterdam; Año: 2004 vol. 334 p. 119 - 131

0378-4371

We discuss a way of characterizing probability distributions,complementing that provided bythe celebrated notion of information measure,with reference to a measure of complexity that wecall a “nontriviality measure ”.Our starting point is the “LMC ”measure of complexity advancedby L opez-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 characteristicsis 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 di erent degrees of periodicity.We apply the “cured ”measure to the logistic map so as to clearly exhibit its advantages.