We present a new construction of the Euclidean Φ^ 4 Φ 4 quantum field theory on R^ 3 R 3
based on PDE arguments. More precisely, we consider an approximation of the stochastic …

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(Due to the limit on the number of characters for an abstract set by arXiv, the full abstract can
not be displayed here. See the abstract in the paper.) We study the construction of the $\Phi …

We study global-in-time dynamics of the stochastic nonlinear wave equations (SNLW) with
an additive space-time white noise forcing, posed on the two-dimensional torus. Our goal in …

We consider the defocusing nonlinear wave equation of power-type on ℝ3. We establish an
almost sure global existence result with respect to a suitable randomization of the initial …

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

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 …

We prove almost sure global well-posedness of the energy-critical defocusing quintic
nonlinear wave equation on R 3 with random initial data in H s (R 3)× H s− 1 (R 3) for s> 1 2 …

We study the nonlinear wave equation (NLW) on the two-dimensional torus T 2 with
Gaussian random initial data on H s (T 2)× H s− 1 (T 2), s< 0, distributed according to the …

We introduce a randomization of a function on ℝ d R^ d that is naturally associated to the
Wiener decomposition and, intrinsically, to the modulation spaces. Such randomized …