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Infinite-dimensional symplectic non-sque...

Fabert, Oliver...

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Infinite-dimensional symplectic non-squeezing using non-standard analysis by Fabert, Oliver ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	07-09-2023
Summary	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.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1501.05905

Citation

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AMA 11th EditionReferences

Fabert, Oliver. Infinite-dimensional symplectic non-squeezing using non-standard analysis. Australian National University. September 07, 2023. Accessed November 01, 2024. https://online.provdatabase.com/cite/24278

APA 7th EditionReferences

Fabert, Oliver. (2023). Infinite-dimensional symplectic non-squeezing using non-standard analysis. Australian National University. https://online.provdatabase.com/cite/24278

Chicago 17th EditionReferences

Fabert, Oliver. Infinite-dimensional symplectic non-squeezing using non-standard analysis. Australian National University. 2023. https://online.provdatabase.com/cite/24278

HarvardReferences

Fabert, Oliver. (2023). Infinite-dimensional symplectic non-squeezing using non-standard analysis. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/24278. (Accessed 01 November 2024).

Harvard AustraliaReferences

Fabert, Oliver, 2023, Infinite-dimensional symplectic non-squeezing using non-standard analysis, Australian National University, viewed 01 November 2024, <https://online.provdatabase.com/cite/24278>

MLA 9th EditionWorks Cited

Fabert, Oliver. Infinite-dimensional symplectic non-squeezing using non-standard analysis. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/24278.

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