25 citations · 52 across the 12 of their papers we have counts for
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math.SG2007★ 25 cited
C^0-rigidity of Poisson brackets
Michael Entov, Leonid Polterovich
Consider a functional associating to a pair of compactly supported smooth functions on a symplectic manifold the maximum of their Poisson bracket. We show that this functional is l…
math.DS2007
Growth and mixing
Krzysztof Fraczek, Leonid Polterovich
Given a bi-Lipschitz measure-preserving homeomorphism of a compact metric measure space of finite dimension, consider the sequence formed by the Lipschitz norms of its iterations.…
math.SG2007
Symplectic quasi-states and semi-simplicity of quantum homology
Michael Entov, Leonid Polterovich
We review and streamline our previous results and the results of Y.Ostrover on the existence of Calabi quasi-morphisms and symplectic quasi-states on symplectic manifolds with semi…