On the periodic approximation of Lyapunov exponents for semi-invertible cocycles

Lucas Backes

doi:10.3934/dcds.2017275

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2017, Volume 37, Issue 12: 6353-6368. Doi: 10.3934/dcds.2017275

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On the periodic approximation of Lyapunov exponents for semi-invertible cocycles

Lucas Backes^,

Departamento de Matemática, Instituto de Matemática e Estatística, Universidade Federal do Rio Grande do Sul, Av. Bento Gonçalves 9500,91509-900, Porto Alegre, RS, Brazil

* Corresponding author
* Corresponding author

Received: December 31, 2016

Revised: June 30, 2017

Published: October 2017

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Abstract

We prove that, for semi-invertible linear cocycles, Lyapunov exponents of ergodic measures may be approximated by Lyapunov exponents on periodic points.

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Mathematics Subject Classification: Primary: 37H15, 37A20; Secondary: 37D25.

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References

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