We prove the invariance of the Gibbs measure under the dynamics of the three-dimensional
cubic wave equation, which is also known as the hyperbolic Φ 3 4-model. This result is the …

We introduce the theory of random tensors, which naturally extends the method of random
averaging operators in our earlier work (Deng et al. in: Invariant Gibbs measures and global …

We consider the defocusing nonlinear Schrödinger equation on T^2 with Wick ordered
power nonlinearity, and prove almost sure global well-posedness with respect to the …

Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlinearity
II: Dynamics Page 1 © 2023 European Mathematical Society Published by EMS Press and …

Using ideas from paracontrolled calculus, we prove local well-posedness of a renormalized
version of the three-dimensional stochastic nonlinear wave equation with quadratic …

In this paper, we consider the defocusing Hartree nonlinear Schrödinger equations on T 3
with real-valued and even potential V and Fourier multiplier decaying such as| k|− β. By …

In this two-paper series, we prove the invariance of the Gibbs measure for a three-
dimensional wave equation with a Hartree nonlinearity. The main novelty is the singularity of …

We construct global-in-time singular dynamics for the (renormalized) cubic fourth-order
nonlinear Schrödinger equation on the circle, having the white noise measure as an …

We prove the global well-posedness of the stochastic Abelian-Higgs equations in two
dimensions. The proof is based on a new covariant approach, which consists of two parts …

We study the defocusing energy critical nonlinear wave equation in four dimensions. Our
main result proves the stability of the scattering mechanism under random perturbations of …