Symbolic dynamics for one dimensional maps with nonuniform expansion
Dynamical Systems
2019-11-14 v2
Abstract
Given a piecewise map of the interval, possibly with critical points and discontinuities, we construct a symbolic model for invariant probability measures with nonuniform expansion that do not approach the critical points and discontinuities exponentially fast almost surely. More specifically, we code the lift of these measures in the natural extension of the map.
Cite
@article{arxiv.1801.03359,
title = {Symbolic dynamics for one dimensional maps with nonuniform expansion},
author = {Yuri Lima},
journal= {arXiv preprint arXiv:1801.03359},
year = {2019}
}
Comments
33 pages, 1 figure, to appear in Annales de l'Institut Henri Poincar\'e / Analyse non lin\'eaire