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arXiv · 2407.19665

Uniformly distributed periodic orbits of endomorphisms on $n$-tori

Daohua Yu·Shaobo Gan
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Abstract

We prove that any ergodic endomorphism on torus admits a sequence of periodic orbits uniformly distributed in the metric sense. As a corollary, an endomorphism on torus is ergodic if and only if the Haar measure can be approximated by periodic measures.

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Daohua Yu, Shaobo Gan. 2024-07-29. Uniformly distributed periodic orbits of endomorphisms on $n$-tori. https://arxiv.org/abs/2407.19665

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