Topological entropy is generically infinite for non-Lipschitz velocity fields

Abstract

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

9 pages, 1 figure; minor edits