An Introduction to Singular Stochastic PDEs
Allen–Cahn Equations, Metastability, and Regularity Structures
Nils Berglund
Institut Denis Poisson, Université d’Orleans, Université de Tours and CNRS
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| Front MatterDownload pp. i–v | |
| PrefaceDownload pp. vii–viii | |
| ContentsDownload pp. ix–x | |
| 1 | IntroductionDownload pp. 1–11 |
| 2 | A system of interacting diffusionspp. 13–32 |
| 3 | Allen–Cahn SPDE in one space dimensionpp. 33–62 |
| 4 | Allen–Cahn SPDE in two space dimensionspp. 63–85 |
| 5 | Allen–Cahn SPDE in three space dimensionspp. 87–156 |
| A | Potential theory for reversible Markov chainspp. 157–164 |
| B | Hopf algebraspp. 165–174 |
| C | BPHZ renormalisationpp. 175–188 |
| D | Wiener chaos expansionpp. 189–193 |
| Referencespp. 205–215 | |
| Indexpp. 217–220 |