Open Access
December 2016 On ergodic measures with negative Lyapunov exponents
Andrés Mauricio Barragán, Carlos Arnoldo Morales
Proc. Japan Acad. Ser. A Math. Sci. 92(10): 131-135 (December 2016). DOI: 10.3792/pjaa.92.131

Abstract

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.

Citation

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Andrés Mauricio Barragán. Carlos Arnoldo Morales. "On ergodic measures with negative Lyapunov exponents." Proc. Japan Acad. Ser. A Math. Sci. 92 (10) 131 - 135, December 2016. https://doi.org/10.3792/pjaa.92.131

Information

Published: December 2016
First available in Project Euclid: 2 December 2016

zbMATH: 1364.37057
MathSciNet: MR3579195
Digital Object Identifier: 10.3792/pjaa.92.131

Subjects:
Primary: 37D25
Secondary: 37C40

Keywords: ergodic measure , flow , Lyapunov exponent

Rights: Copyright © 2016 The Japan Academy

Vol.92 • No. 10 • December 2016
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