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This document presents a general theorem on the convergence of stochastically renormalized field equations to a deterministic effective PDE through geometric averaging, under certain assumptions related to scale separation and ergodicity. It outlines the proof strategy, provides a toy example of a stochastic Maxwell-like PDE, and discusses a numerical scheme for implementation. The findings have implications for understanding the behavior of renormalization in field equations and highlight limitations in ac

Author

peterdeceuster5

Language

EN