• 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}
}
• Published 29 June 2022
• Mathematics
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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