25 citations · 52 across the 12 of their papers we have counts for
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math.DG1998
Hamiltonian loops from the ergodic point of view
Leonid Polterovich
The paper provides a link between ergodic theory and symplectic topology. A classical notion of ergodic theory is a skew product map associated with a loop in a group of transforma…
math.DG1998
Hofer's diameter and Lagrangian intersections
Leonid Polterovich
We prove that the group of Hamiltonian diffeomorphisms of the 2-sphere has infinite diameter with respect to Hofer's metric. Our approach is based on the theory of Lagrangian inter…