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arXiv · 2102.06795

Invariant measures for interval maps without Lyapunov exponents

Jorge Olivares-Vinales
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Abstract

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.

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Jorge Olivares-Vinales. 2021-02-12. Invariant measures for interval maps without Lyapunov exponents. https://arxiv.org/abs/2102.06795

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