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Infinite-dimensional symplectic non-sque...
Fabert, Oliver...
Infinite-dimensional symplectic non-squeezing using non-standard analysis by Fabert, Oliver ( Author )
Australian National University
07-09-2023
We prove a non-squeezing result for infinite-dimensional Hamiltonian flows using non-standard model theory. For this we prove the existence of a corresponding family of pseudoholomorphic spheres and characterize the maximal time in terms of a limiting behaviour for these curves. While our proof is based on the finite-dimensional results from Gromov's original proof, we do not ask for any prior knowledge of non-standard model theory.
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Article
pdf
29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1501.05905
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