Proceedings of the Japan Academy, Series A, Mathematical Sciences

On ergodic measures with negative Lyapunov exponents

Andrés Mauricio Barragán and Carlos Arnoldo Morales

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We prove for $n\geq 3$ that every nonatomic ergodic measure of an $n$-dimensional flow whose Lyapunov exponents off the flow direction are all negative is supported on an attracting periodic orbit.

Article information

Proc. Japan Acad. Ser. A Math. Sci., Volume 92, Number 10 (2016), 131-135.

First available in Project Euclid: 2 December 2016

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Zentralblatt MATH identifier

Primary: 37D25: Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.)
Secondary: 37C40: Smooth ergodic theory, invariant measures [See also 37Dxx]

Ergodic measure Lyapunov exponent flow


Barragán, Andrés Mauricio; Morales, Carlos Arnoldo. On ergodic measures with negative Lyapunov exponents. Proc. Japan Acad. Ser. A Math. Sci. 92 (2016), no. 10, 131--135. doi:10.3792/pjaa.92.131.

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