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arXiv · 2512.09599

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

Chenjie Fan·Feng Ye
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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.

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Chenjie Fan, Feng Ye. 2025-12-10. On a large deviation principle for 1d cubic NLS with optimal decaying data. https://arxiv.org/abs/2512.09599

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