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Moscow Mathematical Journal, 2003, Volume 3, Number 1, Pages 189–203
DOI: https://doi.org/10.17323/1609-4514-2003-3-1-189-203 (Mi mmj82) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Recurrence and Lyapunov exponents

B. Saussola, S. Troubetzkoyb, S. Vaientibc

a University of Picardie Jules Verne
b Institut de Mathématiques de Luminy
c Université du Sud Toulon-Var
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DOI: https://doi.org/10.17323/1609-4514-2003-3-1-189-203
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.
Received: May 14, 2002
Bibliographic databases:
MSC: Primary 37B20; Secondary 37C45
Language: English
Citation: B. Saussol, S. Troubetzkoy, S. Vaienti, “Recurrence and Lyapunov exponents”, Mosc. Math. J., 3:1 (2003), 189–203
Citation in format AMSBIB
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\by B.~Saussol, S.~Troubetzkoy, S.~Vaienti
\paper Recurrence and Lyapunov exponents
\jour Mosc. Math.~J.
\yr 2003
\vol 3
\issue 1
\pages 189--203
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    • This publication is cited in the following 17 articles:
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