Lyapunov irregular sets exhibit distributional chaos of type 1 under exponential specification and distinct ergodic Lyapunov spectra for Holder matrix cocycles.
Downarowicz, Positive topological entropy implies chaos DC2 , Proceedings of the American Math- ematical Society, 2012, 142(1):pages
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Laypunov Irregular Points With Distributional Chaos
Lyapunov irregular sets exhibit distributional chaos of type 1 under exponential specification and distinct ergodic Lyapunov spectra for Holder matrix cocycles.