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摘要
We give examples of locally constant SL (2, R)-cocycles over a Bernoulli shift that are discontinuity points for Lyapunov exponents in the Holder topology and are arbitrarily close to satisfying the fiber bunching inequality. Backes, Brown, and the author [Continuity of Lyapunov exponents for cocycles with invariant holonomies. Preprint, 2015, arXiv:1507.08978] have shown that the Lyapunov exponents vary continuously when restricted to the space of fiber bunched Holder continuous cocycles. Our examples give evidence that this theorem is optimal within certain families of Holder cocycles.
- 出版日期2018-4
