14 citations · 27 across the 16 of their papers we have counts for
Showing 2016 · math.DSShow all
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math.DS2016★ 1 cited
Perspectives on Kuperberg flows
Steven Hurder, Ana Rechtman
The "Seifert Conjecture" asks, "Does every non-singular vector field on the 3-sphere have a periodic orbit?" In a celebrated work, Krystyna Kuperberg gave a constru…
math.DS2016
The trunkenness of a volume-preserving vector field
Pierre Dehornoy, Ana Rechtman
We construct a new invariant-the trunkenness-for volume-perserving vector fields on S^3 up to volume-preserving diffeomorphism. We prove that the trunkenness is independent from th…
math.DS2016
Aperiodicity at the boundary of chaos
Steven Hurder, Ana Rechtman
We consider the dynamical properties of -variations of the flow on an aperiodic Kuperberg plug . Our main result is that there exists a smooth 1-parameter…