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arXiv · 2604.01077

Topological entropy is generically infinite for non-Lipschitz velocity fields

Carl Johan Peter Johansson·Giulia Mescolini
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Abstract

We prove that for any Osgood non-Lipschitz modulus of continuity $\omega$, flow maps associated with time-periodic $\omega$-continuous velocity fields generically (in the sense of Baire) have infinite topological entropy.

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Carl Johan Peter Johansson, Giulia Mescolini. 2026-04-01. Topological entropy is generically infinite for non-Lipschitz velocity fields. https://arxiv.org/abs/2604.01077

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