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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
An Introduction to Singular Stochastic PDEs cover
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  • Front Matterpp. i–v
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  • Prefacepp. vii–viii
  • Contentspp. ix–x
  • 1
    Introductionpp. 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