129 citations · 316 across the 45 of their papers we have counts for
8 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-…
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…
Birkhoff normal form via decorated trees
Jacob Armstrong-Goodall, Yvain Bruned
We derive an explicit tree based ansatz for the Birkhoff normal form up to any order in the context of Hamiltonian PDEs. To do so we make use of a tree based representation of iter…
Cancellations for dispersive PDEs with random initial data
Yvain Bruned, Leonardo Tolomeo
In this work, we provide a combinatorial formalism for dealing with the cancellations that have appeared recently in the context of dispersive PDEs with random initial data. The ma…
Derivation of normal forms for dispersive PDEs via arborification
Yvain Bruned
In this work, we propose a systematic derivation of normal forms for dispersive equations using decorated trees introduced in arXiv:2005.01649. The key tool is the arborification m…
Low regularity symplectic schemes for stochastic NLS
Jacob Armstrong-Goodall, Yvain Bruned
We introduce a class of symplectic resonance based schemes for Schrödinger's equation in dimension one, building on the work in [1] wherein resonance based numerical schemes were d…
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…
Renormalising SPDEs in regularity structures
Yvain Bruned, Ajay Chandra, Ilya Chevyrev +1
The formalism recently introduced in arXiv:1610.08468 allows one to assign a regularity structure, as well as a corresponding "renormalisation group", to any subcritical system of…