Noise sensitivity for stochastic heat and Schrödinger equation
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866929702169477120 |
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| author | Gu, Yu Komorowski, Tomasz |
| author_facet | Gu, Yu Komorowski, Tomasz |
| contents | In this note, we consider the stochastic heat and Schrödinger equation, and show that, at time $t$, the onset of the chaos occurs on the scale of $1/t$, and the Fourier spectrum of the solution is asymptotically Gaussian after centering and rescaling. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_04587 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Noise sensitivity for stochastic heat and Schrödinger equation Gu, Yu Komorowski, Tomasz Probability In this note, we consider the stochastic heat and Schrödinger equation, and show that, at time $t$, the onset of the chaos occurs on the scale of $1/t$, and the Fourier spectrum of the solution is asymptotically Gaussian after centering and rescaling. |
| title | Noise sensitivity for stochastic heat and Schrödinger equation |
| topic | Probability |
| url | https://arxiv.org/abs/2502.04587 |