A FAMILY OF COUNTEREXAMPLES TO RUELLE'S INEQUALITY IN THE NONCOMPACT CASE

Felipe Riquelme (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

In this paper we show that there exists a large family of smooth dynamical systems defined over noncompact spaces that does not satisfy Ruelle's inequality between entropy and Lyapunov exponents.

Mots clés: Ergodic Theory; Riemannian Geometry; smooth dynamical systems; Lyapunov exponents; Ruelle's Inequality

Domaines: Systèmes dynamiques [math.DS]

Felipe Riquelme. A FAMILY OF COUNTEREXAMPLES TO RUELLE'S INEQUALITY IN THE NONCOMPACT CASE. 2015. ⟨hal-01212973v1⟩