• Corpus ID: 250113395

An isomorphism theorem for Ginzburg-Landau interface models and scaling limits

@inproceedings{Deuschel2022AnIT,
  title={An isomorphism theorem for Ginzburg-Landau interface models and scaling limits},
  author={Jean-Dominique Deuschel and Pierre-François Rodr{\'i}guez},
  year={2022}
}
We introduce a natural measure on bi-infinite random walk trajectories evolving in a time-dependent environment driven by the Langevin dynamics associated to a gradient Gibbs measure with convex potential. We derive an identity relating the occupation times of the Poissonian cloud induced by this measure to the square of the corresponding gradient field, which – generically – is not Gaussian. In the quadratic case, we recover a well-known generalization of the second Ray-Knight theorem. We… 

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