Invariant measures for interval maps without Lyapunov exponents
Dynamical Systems
2021-02-23 v2
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.
Cite
@article{arxiv.2102.06795,
title = {Invariant measures for interval maps without Lyapunov exponents},
author = {Jorge Olivares-Vinales},
journal= {arXiv preprint arXiv:2102.06795},
year = {2021}
}
Comments
26 pages, 3 figures, LaTeX; typos corrected, blank page 6