Symbolic dynamics for one dimensional maps with nonuniform expansion

Yuri Lima

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arXiv · 1801.03359

Symbolic dynamics for one dimensional maps with nonuniform expansion

Yuri Lima

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Abstract

Given a piecewise $C^{1+\beta}$ 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.

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Yuri Lima. 2018-01-10. Symbolic dynamics for one dimensional maps with nonuniform expansion. https://arxiv.org/abs/1801.03359

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