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Continuity of Lyapunov exponents for random two-dimensional matrices

Published online by Cambridge University Press:  08 March 2016

CARLOS BOCKER-NETO  and
MARCELO VIANA
CARLOS BOCKER-NETO
Affiliation:
Departamento de Matemática, Universidade Federal da Paraíba, Cidade Universitária, 58051-900 João Pessoa, PB, Brazil email [email protected]
MARCELO VIANA
Affiliation:
IMPA, Est. D. Castorina 110, Jardim Botânico, 22460-320 Rio de Janeiro, RJ, Brazil email [email protected]
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Abstract

The Lyapunov exponents of locally constant $\text{GL}(2,\mathbb{C})$-cocycles over Bernoulli shifts vary continuously with the cocycle and the invariant probability measure.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 37 , Issue 5 , August 2017 , pp. 1413 - 1442
Copyright
© Cambridge University Press, 2016 

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