Multifractal Analysis of inhomogeneous Bernoulli products

Athanasios Batakis (1) , Benoit Testud (2)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
2 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée

We are interested to the multifractal analysis of inhomogeneous Bernoulli products which are also known as coin tossing measures. We give conditions ensuring the validity of the multifractal formalism for such measures. On another hand, we show that these measures can have a dense set of phase transitions.

Domaines: Analyse classique [math.CA]; Systèmes dynamiques [math.DS]; Physique mathématique [math-ph]

Athanasios Batakis, Benoit Testud. Multifractal Analysis of inhomogeneous Bernoulli products. Journal of Statistical Physics, 2011, 142 (5), pp.JOSS-10-288R1. ⟨10.1007/s10955-011-0147-5⟩. ⟨hal-00560971⟩