Renormalization of singular elliptic stochastic PDEs using flow equation
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866917918003953664 |
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| author | Duch, Paweł |
| author_facet | Duch, Paweł |
| contents | We develop a solution theory for singular elliptic stochastic PDEs with fractional Laplacian, additive white noise and cubic non-linearity. The method covers the whole sub-critical regime. It is based on the Wilsonian renormalization group theory and the Polchinski flow equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_05031 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Renormalization of singular elliptic stochastic PDEs using flow equation Duch, Paweł Probability Mathematical Physics We develop a solution theory for singular elliptic stochastic PDEs with fractional Laplacian, additive white noise and cubic non-linearity. The method covers the whole sub-critical regime. It is based on the Wilsonian renormalization group theory and the Polchinski flow equation. |
| title | Renormalization of singular elliptic stochastic PDEs using flow equation |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2201.05031 |