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arXiv · 1912.11307

Weak Horseshoe with bounded-gap-hitting times

Leiye Xu·Junren Zheng
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Abstract

In this paper, we consider weak horseshoe with bounded-gap-hitting times. For a flow $(M,\phi)$, it is shown that if the time one map $(M,\phi_1)$ has weak horseshoe with bounded-gap-hitting times, so is $(M,\phi_\tau)$ for all $\tau\neq 0$. In addition, we prove that for an affine homeomorphsim of a compact metric abelian group, positive topological entropy is equivalent to weak horseshoe with bounded-gap-hitting times.

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Leiye Xu, Junren Zheng. 2019-12-24. Weak Horseshoe with bounded-gap-hitting times. https://arxiv.org/abs/1912.11307

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