Hamiltonian loops from the ergodic point of view
Hamiltonian loops from the ergodic point of view
Let G be the group of Hamiltonian diffeomorphisms of a closed symplectic manifold Y. A loop h:S1MG is called strictly ergodic if for some irrational number ! the associated skew product map T:S12YMS12Y defined by T(t,y)=(t+!,h(t)y) is strictly ergodic. In the present paper we address the following question. Which elements …