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linear cocycles

Ergodic Theory and Dynamical Systems (1)

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1 results

Continuity of Lyapunov exponents for non-uniformly fiber-bunched cocycles
Part of
- Dynamical systems with hyperbolic behavior
- Random dynamical systems
CATALINA FREIJO, KARINA MARIN
Journal:

Ergodic Theory and Dynamical Systems / Volume 41 / Issue 12 / December 2021

Published online by Cambridge University Press:

02 December 2020, pp. 3740-3767

Print publication:

December 2021
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We provide conditions that imply the continuity of the Lyapunov exponents for non-uniformly fiber-bunched cocycles in $SL(2,\mathbb {R})$ . The main theorem is an extension of the result of Backes, Brown and Butler and gives a partial answer to a conjecture of Marcelo Viana.