14 citations · 27 across the 16 of their papers we have counts for
4 papers · 1 filter
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…
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…
Equivalence of Deterministic walks on regular lattices on the plane
Ana Rechtman, Raul Rechtman
We consider deterministic walks on square, triangular and hexagonal two dimensional lattices. In each case, there is a scatterer at every site that can be in one of two states that…
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…