129 citations · 316 across the 45 of their papers we have counts for
4 papers · 1 filter
Locality for singular stochastic PDEs
I. Bailleul, Y. Bruned
This work deals with singular stochastic PDEs driven by non-translation invariant differential operators. We describe the renormalized equation for a very large class of spacetime…
Parametrization of renormalized models for singular stochastic PDEs
I. Bailleul, Y. Bruned
Let be the regularity structure associated with a given system of singular stochastic PDEs. The paracontrolled representation of the map provides a linear par…
Ramification of Volterra-type Rough Paths
Yvain Bruned, Foivos Katsetsiadis
We extend the new approach introduced in arXiv:1912.02064v2 [math.PR] and arXiv:2102.10119v1 [math.PR] for dealing with stochastic Volterra equations using the ideas of Rough Path…
Renormalised singular stochastic PDEs
Ismael Bailleul, Yvain Bruned
Extended decorations on naturally decorated trees were introduced in the work of Bruned, Hairer and Zambotti on algebraic renormalization of regularity structures to provide a conv…