Calculus of Variations and Geometric Measure Theory

C. J. P. Johansson - G. Mescolini

Topological entropy is generically infinite for non-Lipschitz velocity fields

created by johansson on 08 Apr 2026
modified on 13 Apr 2026

[BibTeX]

preprint

Inserted: 8 apr 2026
Last Updated: 13 apr 2026

Year: 2026

ArXiv: 2604.01077 PDF

Abstract:

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