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math.DS2010
Periodic orbits of Euler vector fields on 3-manifolds
Ana Rechtman
In this paper we study the existence of periodic orbits in the flow of non-singular steady Euler fields on closed 3-manifolds, that is is a solution of time independent Eul…
math.DS2010
Averaging sequences
Fernando Alcalde Cuesta, Ana Rechtman
In the spirit of Goodman-Plante average condition for the existence of a transverse invariant measure for foliations, we give an averaging condition to find tangentially smooth mea…
math.DS2010
Minimal Følner foliations are amenable
Fernando Alcalde Cuesta, Ana Rechtman
For finitely generated groups, amenability and Følner properties are equivalent. However, contrary to a widespread idea, Kaimanovich showed that Følner condition does not imply ame…