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math.DS2025
Knotting Minimal Sets
Alex Clark, John Hunton
We consider the ways minimal sets of flows in may be embedded. We prove that given any flow on with positive entropy, there is an uncountable collection $\mathcal…
math.DS2025
On roundness of rotation sets
Boris Perrot, Jan BoroÅski, Alex Clark
Motivated by the question whether a round disk can be realized as the rotation set of a torus diffeomorphism, we study the roundness of rotation sets of a parametric family of toru…
math.DS2025
A Complete Invariant for Flow Equivalence
Alex Clark, John Hunton
Minimal flow spaces of dimension 1 are among the most fundamental limit sets in dynamical systems. These invariant sets occur as the typical minimal sets in surface flows, the mini…