B. Saussol, S. Troubetzkoy, S. Vaienti, “Recurrence and Lyapunov exponents”, Mosc. Math. J., 2003, Volume 3, Number 1,Pages <nobr>189

This article is cited in 17 papers

Recurrence and Lyapunov exponents

B. Saussol^a, S. Troubetzkoy^b, S. Vaienti^bc

^a University of Picardie Jules Verne
^b Institut de Mathématiques de Luminy
^c Université du Sud Toulon-Var

Abstract: We prove two inequalities between the Lyapunov exponents of a diffeomorphism and some characteristics of its local recurrence properties. We give examples of linear hyperbolic maps of the torus showing that each of the inequalities is optimal.

Key words and phrases: Return time, Lyapunov exponents.

MSC: Primary 37B20; Secondary 37C45

Received: May 14, 2002

Language: English

DOI: 10.17323/1609-4514-2003-3-1-189-203