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 |