Showing 2026 · math.APShow all
3 papers · 2 filters
math.AP2026
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…
math.AP2026
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…
math.AP2026
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…