6 papers · 2 filters
Composition and substitution of Regularity Structures B-series
Yvain Bruned
In this work, we introduce Regularity Structures B-series which are used for describing solutions of singular stochastic partial differential equations (SPDEs). We define compositi…
A top-down approach to algebraic renormalization in regularity structures based on multi-indices
Yvain Bruned, Pablo Linares
We provide an algebraic framework to describe renormalization in regularity structures based on multi-indices for a large class of semi-linear stochastic PDEs. This framework is ``…
Geometric embedding for regularity structures
Yvain Bruned, Foivos Katsetsiadis
In this paper, we show how one can view certain models in regularity structures as some form of geometric rough paths. This is performed by identifying the deformed Butcher-Connes-…
Multi-indices coproducts from ODEs to singular SPDEs
Yvain Bruned, Yingtong Hou
In this work, we introduce explicit formulae for the coproducts at play for multi-indices in ODEs and in singular SPDEs. The two coproducts described correspond to versions of the…
Quasi-generalised KPZ equation
Yvain Bruned, Máté Gerencsér, Usama Nadeem
We derive the renormalised equation for the quasi-generalised KPZ equation with space-time white noise. We complement the program initiated by Gerencsér and Hairer for solving qua…
BPHZ renormalisation and vanishing subcriticality asymptotics of the fractional model
Nils Berglund, Yvain Bruned
We consider stochastic PDEs on the -dimensional torus with fractional Laplacian of parameter , quadratic nonlinearity and driven by space-time white noise. These equ…