129 citations · 316 across the 45 of their papers we have counts for
7 papers · 1 filter
Kruskal-style algorithm for Boltzmann equation molecule reduction
Yvain Bruned, Valentin Clarisse
We are interested in the molecule reduction algorithm used by Deng, Hani and Ma. This algorithm allows them to establish a rigidity theorem, which plays a central role in the long-…
Chain rule symmetry for singular SPDEs from multi-indices to decorated trees
Yvain Bruned
In these lecture notes, we review the recent results around the chain rule for the generalised KPZ equation and the geometric KPZ equation. We introduce the main ideas of Regularit…
On the equivalence between the Polchinski flow and the Connes-Kreimer approaches to perturbative renormalisation
Yvain Bruned, Paul Laubie, Aurélien Minguella
We prove a correspondence between the Polchinski flow and the Connes-Kreimer approaches to perturbative renormalisation, in the sense that the first yields the same renormalisation…
A general paracontrolled ansatz for singular SPDEs
Yvain Bruned, Nicolas Moench
We provide a general ansatz for the paracontrolled approach introduced by Gubinelli, Imkeller, Perkowski for treating singular SPDEs. The ansatz proposed covers a large class of eq…
Recentering with Malliavin derivative
Yvain Bruned, Aurélien Minguella
We provide an algebraic unification of the spectral gap proofs of the convergence of the renormalised model for regularity structures. We show that the key recentering map used in…
Kruskal-style algorithm for cubic Schrödinger equation molecule reduction
Yvain Bruned, Valentin Clarisse
We are interested in the molecule reduction algorithm introduced by Deng and Hani. They use this algorithm to establish a rigidity theorem, which plays a central role in the kineti…
Banach fixed point and flow approach for rough analysis
Yvain Bruned, Yingtong Hou, Paul Laubie +1
In this paper, we show that the main algebraic assumption required to perform a fixed point argument for rough differential equations implies the algebraic assumption for the Baill…