A concrete example of a locally constant SL(2,R) cocycle over Bernoulli shift on the boundary of uniform hyperbolicity where Lyapunov exponents are discontinuous in the C_δ-log topology and can be approximated by zero.
Barreira.Thermodynamic Formalism and Applications to Dimension Theory
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Discontinuity example for the Lyapunov exponents on the boundary of the uniformly hyperbolic set
A concrete example of a locally constant SL(2,R) cocycle over Bernoulli shift on the boundary of uniform hyperbolicity where Lyapunov exponents are discontinuous in the C_δ-log topology and can be approximated by zero.