MULTIFRACTAL ANALYSIS OF MULTIPLE ERGODIC AVERAGES

Ai-Hua Fan (1) , Joerg Schmeling (2) , Meng Wu (1)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée
2 Skane University Hospital [Lund]

In this paper we present a complete solution to the problem of multifractal analysis of multiple ergodic averages in the case of symbolic dynamics for functions of two variables depending on the first coordinate.

Mots clés: Multiple ergodic average; Hausdorff dimension; non-linear transfert operator

Domaines: Systèmes dynamiques [math.DS]

Ai-Hua Fan, Joerg Schmeling, Meng Wu. MULTIFRACTAL ANALYSIS OF MULTIPLE ERGODIC AVERAGES. 2011. ⟨hal-00615470v2⟩