arXiv subjects

B. Saussol

Publications and source records attributed to B. Saussol.

2 recordsLinked to original sources

arXiv2002

Recurrence and lyapunov exponents

We prove two inequalities between the Lyapunov exponents of a diffeomorphism and its local recurrence properties. We give examples showing that each of the inequalities is optimal.

math.DS↗

arXiv2001

Recurrence, dimensions and Lyapunov exponents

We show that the Poincaré return time of a typical cylinder is at least its length. For one dimensional maps we express the Lyapunov exponent and dimension via return times.

math.DS↗