We prove a general theorem on the stochastic convergence of appropriately renormalized
models arising from nonlinear stochastic PDEs. The theory of regularity structures gives a …

The formalism recently introduced in [BHZ19] allows one to assign a regularity structure, as
well as a corresponding “renormalisation group”, to any subcritical system of semilinear …

Ces notes sont bas�es sur trois cours que le deuxi�me auteur a donn�s � Toulouse,
Matsumoto et Darmstadt. L’objectif principal est d’expliquer certains aspects de la th�orie des �…

We prove that the dynamical sine-Gordon equation on the two dimensional torus introduced
in [HS16] is locally well-posed for the entire subcritical regime. At first glance this equation is …

We define a natural state space and Markov process associated to the stochastic Yang–Mills
heat flow in two dimensions. To accomplish this we first introduce a space of distributional …

We define a state space and a Markov process associated to the stochastic quantisation
equation of Yang–Mills–Higgs (YMH) theories. The state space S \documentclass[12pt]{minimal…

Main conclusion Diverse gene pool, advanced plant phenomics and genomics methods
enhanced genetic gain and understanding of important agronomic, adaptation and nutritional …

We show a priori bounds for solutions to $(\partial_t - \Delta) u = \sigma (u) \xi$ in finite volume
in the framework of Hairer's Regularity Structures [Invent Math 198:269--504, 2014]. We …

We derive a priori bounds for the Φ 4 \documentclass[12pt]{minimal} \usepackage{amsmath}
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We establish a surface order large deviation estimate for the magnetisation of low temperature
ϕ 3 4 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \…