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

Abstract

We provide conditions which 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.

References in corpus (4)

• Continuity of Lyapunov Exponents for Cocycles with Invariant Holonomies
• Continuity of Lyapunov Exponents for Random 2D Matrices
• Discontinuity of Lyapunov Exponents Near Fiber Bunched Cocycles
• Continuity of the Lyapunov exponents of random matrix products