71 citations · 572 across the 56 of their papers we have counts for
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math.SG2001★ 11 cited
Geometric variants of the Hofer norm
Dusa McDuff
This note discusses some geometrically defined seminorms on the group $\Ham(M, ω)$ of Hamiltonian diffeomorphisms of a closed symplectic manifold , giving conditions under…
math.SG2001★ 25 cited
Hofer-Zehnder capacity and length minimizing Hamiltonian paths
Dusa McDuff, Jennifer Slimowitz
We use the criteria of Lalonde and McDuff to show that a path that is generated by a generic autonomous Hamiltonian is length minimizing with respect to the Hofer norm among all ho…