The conjugation method in symplectic dynamics
  We prove the existence of minimal symplectomorphisms and strictly ergodic contactomorphisms on manifolds which admit a locally free $\mathbb{S}^1$--action by symplectomorphisms and contactomorphisms, respectively. The proof adapts the conjugation method, introduced by Anosov and Katok, to the contact and symplectic setting. 
Luis Hern\'andez-Corbato, Francisco Presas
math.SG math.DS