Recurrence spectrum in smooth dynamical systems

Benoit Saussol (1) , Jun Wu (2)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée
2 department of mathematics and nonlinear science center - department of mathematics and nonlinear science center

We prove that for conformal expanding maps the return time does have constantmultifractal spectrum.This is the counterpart of the result by Feng and Wu in the symbolic setting.

Mots clés: Poincaré recurrence; multifractal analysis; conformal repeller; expanding map

Domaines: Systèmes dynamiques [math.DS]

Benoit Saussol, Jun Wu. Recurrence spectrum in smooth dynamical systems. 2003. ⟨hal-00000268⟩