Invariant measures for interval maps without Lyapunov exponents
arXiv:2102.06795
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.
26 pages, 3 figures, LaTeX; typos corrected, blank page 6