A comparison of symplectic homogenization and Calabi quasi-states
| dc.contributor.author | Monzner, Alexandra | |
| dc.contributor.author | Zapolsky, Frol | |
| dc.date.accessioned | 2011-02-11T10:50:29Z | |
| dc.date.available | 2011-02-11T10:50:29Z | |
| dc.date.issued | 2011-02-11 | |
| dc.description.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. | en |
| dc.identifier.uri | http://hdl.handle.net/2003/27616 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-15855 | |
| dc.language.iso | en | |
| dc.subject.ddc | 610 | |
| dc.title | A comparison of symplectic homogenization and Calabi quasi-states | en |
| dc.type | Text | de |
| dc.type.publicationtype | preprint | en |
| dcterms.accessRights | open access |