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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2501.06612 |
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Table des matières:
- We propose an elementary method to show non-Gaussianity of invariant measures of parabolic stochastic partial differential equations with polynomial non-linearities in the Da Prato--Debussche regime. The approach is essentially algebraic and involves using the generator equation of the SPDE at stationarity. Our results in particular cover the $Φ^4_δ$ measures in dimensions $δ<\frac{14}{5}$, which includes cases where the invariant measure is singular with respect to the invariant measure of the linear solution.