Regularity structures and dynamical Phi^4_3
A Lean 4 / Mathlib formalization of the local well-posedness and convergence of the renormalised dynamical Phi^4_3 model on the three-dimensional torus, after Hairer's Theorem 1.15. For smooth initial data, explicit renormalisation constants built from the massive heat kernel, and every exponent eta in (-2/3, -1/2), the solutions of the equation driven by mollified space-time white noise converge in probability in the Hölder–Besov space C^eta up to the maximal existence time of the limit, and the limit does not depend on the mollifier. A standalone library proves the general theory used: the…
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