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arXiv · 2606.23844

A periodic flow with high emergence

Odylo Costa
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Abstract

We construct a smooth nonsingular periodic flow on a compact manifold with high emergence, in sharp contrast with the low statistical complexity of periodic self-maps. The construction is based on a modification of the Epstein--Vogt counterexample to the Periodic Orbit Conjecture and on the high-emergence mechanism of Berger--Bochi.

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Odylo Costa. 2026-06-22. A periodic flow with high emergence. https://arxiv.org/abs/2606.23844

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