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Continuity of Lyapunov exponents for non-uniformly fiber-bunched cocycles

Published online by Cambridge University Press:  02 December 2020

CATALINA FREIJO
Affiliation:
Departamento de Matemática, Instituto de Ciências Exatas (ICEx), Universidade Federal de Minas Gerais, Belo Horizonte, Minas Gerais, Brazil (e-mail: [email protected])
KARINA MARIN*
Affiliation:
Departamento de Matemática, Instituto de Ciências Exatas (ICEx), Universidade Federal de Minas Gerais, Belo Horizonte, Minas Gerais, Brazil (e-mail: [email protected])

Abstract

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.

Type
Original Article
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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