Probability invariance and entropy as a measure of uncertainty

Qiuping A. Wang (1)

1 ISMANS CESI - Institut Supérieur des Mécaniques et Matériaux Avancés

Starting from a variational definition of entropy as a measure of dynamical uncertainty, we discuss possible entropy forms for the probability distributions in exponential law, power law and Zipf-Mandelbrot law by consideration of their invariant properties. In this approach, other entropy forms different from the Shannon formula are possible for nonexponential probability distribution.

Mots clés: probability invariance; entropy; variational principle

Domaines: Mécanique statistique [cond-mat.stat-mech]

Qiuping A. Wang. Probability invariance and entropy as a measure of uncertainty. 2006. ⟨hal-00117452v1⟩