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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2504.11107 |
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| _version_ | 1866908320504217600 |
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| author | Khoshnevisan, Davar Kim, Kunwoo Mueller, Carl |
| author_facet | Khoshnevisan, Davar Kim, Kunwoo Mueller, Carl |
| contents | We establish a notion of universality for the parabolic Anderson model via an invariance principle for a wide family of parabolic stochastic partial differential equations. We then use this invariance principle in order to provide an asymptotic theory for a wide class of non-linear SPDEs. A novel ingredient of this invariance principle is the dissipativity of the underlying stochastic PDE. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_11107 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An Invariance Principle for some Reaction-Diffusion Equations with a Multiplicative Random Source Khoshnevisan, Davar Kim, Kunwoo Mueller, Carl Probability We establish a notion of universality for the parabolic Anderson model via an invariance principle for a wide family of parabolic stochastic partial differential equations. We then use this invariance principle in order to provide an asymptotic theory for a wide class of non-linear SPDEs. A novel ingredient of this invariance principle is the dissipativity of the underlying stochastic PDE. |
| title | An Invariance Principle for some Reaction-Diffusion Equations with a Multiplicative Random Source |
| topic | Probability |
| url | https://arxiv.org/abs/2504.11107 |