@article{b4b1ab9a3b19465da0c7e9e6082d3dc4,
title = "2D-defocusing nonlinear Schr{\"o}dinger equation with random data on irrational tori",
abstract = "We revisit the work of Bourgain on the invariance of the Gibbs measure for the cubic, defocusing nonlinear Schr{\"o}dinger equation in 2D on a square torus, and we prove the equivalent result on any tori.",
keywords = "LWP, NLS, Random Data",
author = "Chenjie Fan and Yumeng Ou and Gigliola Staffilani and Hong Wang",
note = "Funding Information: C.F. is funded in part by an AMS-Simons Foundation travel grant. Y.O. is funded in part by NSF DMS-1854148. G.S. is funded in part by NSF DMS-1462401 and DMS-1764403, and the Simons Foundation. H.W. is funded by the S.S. Chern Foundation for Mathematics Research Fund and the National Science Foundation. Publisher Copyright: {\textcopyright} 2020, Springer Science+Business Media, LLC, part of Springer Nature.",
year = "2021",
month = mar,
doi = "10.1007/s40072-020-00174-7",
language = "English (US)",
volume = "9",
pages = "142--206",
journal = "Stochastics and Partial Differential Equations: Analysis and Computations",
issn = "2194-0401",
publisher = "Springer New York",
number = "1",
}