Incomplete normalization of probability on multifractals

Qiuping A. Wang (1) , L. Nivanen (1) , A. El Kaabouchi (1) , J.P. Badiali (1) , A. Le Méhauté (1)

1 ISMANS CESI - Institut Supérieur des Mécaniques et Matériaux Avancés

This work is an extension of the incomplete probability theory from the simple case of monofractals previously studied to the more general case of multifractals which can occur in the phase space without equiprobable partition.

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

Qiuping A. Wang, L. Nivanen, A. El Kaabouchi, J.P. Badiali, A. Le Méhauté. Incomplete normalization of probability on multifractals. Physica A: Statistical Mechanics and its Applications, 2007, 386 (1), pp.92-100. ⟨10.1016/j.physa.2007.08.009⟩. ⟨hal-00167369⟩