Authors: Monzner, Alexandra
Zapolsky, Frol
Title: A comparison of symplectic homogenization and Calabi quasi-states
Language (ISO): en
Abstract: We compare two functionals defined on the space of continuous functions with compact support in an open neighborhood of the zero section of the cotangent bundle of a torus. One comes from Viterbo's symplectic homogenization, the other from the Calabi quasi-states due to Entov and Polterovich. In dimension 2 we are able to say when these two functionals are equal. A partial result in higher dimensions is presented. We also give a link to asymptotic Hofer geometry on T^*S^1. Proofs are based on the theory of quasi-integrals and topological measures on locally compact spaces.
Issue Date: 2011-02-11
Appears in Collections:Preprints der Fakultät für Mathematik

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