@inproceedings{e0298f3fdb3848bbbd3e2a3069e87f01,
title = "Pseudoholomorphic discs and symplectic structures in Hilbert space",
abstract = "We develop the theory of J-holomorphic discs in Hilbert spaces with almost complex structures. As an aplication, we prove a version of Gromov{\textquoteright}s symplectic non-squeezing theorem for Hilbert spaces. It can be applied to short-time symplectic flows of a wide class of Hamiltonian PDEs.",
keywords = "Almost complex structure, Hamiltonian PDE, Hilbert space, J-complex disc, Symplectic diffeomorphism",
author = "Alexandre Sukhov and Alexander Tumanov",
year = "2016",
doi = "10.1090/conm/662/13314",
language = "English (US)",
isbn = "9781470419271",
series = "Contemporary Mathematics",
publisher = "American Mathematical Society",
pages = "23--49",
editor = "Zair Ibragimov and Norman Levenberg and Sergey Pinchuk and Azimbay Sadullaev",
booktitle = "Topics in several complex variables",
address = "United States",
}