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arXiv:2102.06795 [math.DS]AbstractReferencesReviewsResources

Invariant measures for interval maps without Lyapunov exponents

Jorge Olivares-Vinales

Published 2021-02-12Version 1

We construct an invariant measure for a piecewise analytic interval map whose Lyapunov exponent is not defined. Moreover, for a set of full measure, the pointwise Lyapunov exponent is not defined. This map has a Lorenz-like singularity and non-flat critical points.

Categories: math.DS
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