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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
classification math.APmath.PR
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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  1. Renormalised Models for Variable Coefficient Singular SPDEs

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    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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