Work

On a large deviation principle for 1d cubic NLS with optimal decaying data

Year: 2025

Type: preprint

Abstract: In this article, we revisit the work of \cite{garrido2023large}, and prove large deviation principles for more general random initial data for cubic NLS. The Fourier coefficient of our random data admits an optimal polynomial decay.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2512.09599

Authors: Fan, Chenjie, Ye, Feng

Institutions: Academy of Mathematics and Systems Science, University of Chinese Academy of Sciences

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4417291925

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