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math-ph2010★ 12 cited
Localization of Multi-Dimensional Wigner Distributions
Elliott H. Lieb, Yaron Ostrover
A well known result of P. Flandrin states that a Gaussian uniquely maximizes the integral of the Wigner distribution over every centered disc in the phase plane. While there is no…
math.SG2010
On the Uniqueness of Hofer's Geometry
Lev Buhovsky, Yaron Ostrover
We study the class of norms on the space of smooth functions on a closed symplectic manifold, which are invariant under the action of the group of Hamiltonian diffeomorphisms. Our…