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Periodic homogenisation for $P(\phi)_2$

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arxiv 2311.16398 v1 pith:YHPSCA6L submitted 2023-11-28 math.AP math.PR

Yilin Chen , Weijun Xu This is my paper · ORCID
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keywords homogenisationperiodiccasecombinescommuteconsiderdynamicallimiting
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abstract

We consider the periodic homogenisation problem for dynamical $P(\phi)_2$, a toy model that combines both renormalisation in singular stochastic PDEs and homogenisation. Our result shows that the two limiting procedures commute in this case.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Weighted Besov Spaces on Homogeneous Lie Groups and Applications to Parabolic Anderson Models

    math.AP 2026-08 reject novelty 7.0 of 10

    A unified weighted Besov theory on homogeneous Lie groups with a multiscale characterization is developed and applied to prove well-posedness of parabolic Anderson models in the Young and first singular regimes.

  2. Renormalised Models for Variable Coefficient Singular SPDEs

    math.AP 2025-07 conditional novelty 7.0 of 10

    The paper proves convergence of renormalised models in regularity structures for variable coefficient singular SPDEs across full subcritical regimes, with renormalisation functions depending only on a finite jet of th...

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