2 papers
math.PR2026
The four-dimensional Anderson model: a case study for critical SPDEs
Yu Deng, Hao Shen
We study the weakly coupled elliptic Anderson model with spatial white noise on the four-dimensional torus, which provides a basic example of a critical SPDE requiring renormalizat…
math.AP2025
On the wave turbulence theory of 2D gravity waves, I: deterministic energy estimates
Yu Deng, Alexandru D. Ionescu, Fabio Pusateri
Our goal in this paper is to initiate the rigorous investigation of wave turbulence and derivation of wave kinetic equations (WKE) for water waves models. This problem has received…