Corpus ID: 232075907

Precise Laplace asymptotics for singular stochastic PDEs: The case of 2D gPAM

@inproceedings{Friz2021PreciseLA,
  title={Precise Laplace asymptotics for singular stochastic PDEs: The case of 2D gPAM},
  author={Peter K. Friz and Thomas Klose},
  year={2021}
}
We implement a Laplace method for the renormalised solution to the generalised 2D Parabolic Anderson Model (gPAM) driven by a small spatial white noise. Our work rests upon Hairer's theory of regularity structures which allows to generalise classical ideas of Azencott and Ben Arous on path space as well as Aida and Inahama and Kawabi on rough path space to the space of models. The technical cornerstone of our argument is a Taylor expansion of the solution in the noise intensity parameter: We… Expand

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