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Periodic homogenisation for $P(\phi)_2$

· 2023 · math.AP · arXiv 2311.16398

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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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math.AP 1

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2025 1

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Renormalised Models for Variable Coefficient Singular SPDEs

math.AP · 2025-07-09 · conditional · novelty 7.0

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 the coefficient field.

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  • Renormalised Models for Variable Coefficient Singular SPDEs math.AP · 2025-07-09 · conditional · none · ref 27 · internal anchor

    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 the coefficient field.