We study the long time behavior of the stochastic quantization equation. Extending recent
results by Mourrat and Weber (Global well-posedness of the dynamic ϕ^4 in the plane …

We give a direct construction of invariant measures and global flows for the stochastic
quantization equation to the quantum field theoretical $\Phi^ 4_3 $-model on the $3 …

We develop a martingale approach for a class of singular stochastic PDEs of Burgers type
(including fractional and multi-component Burgers equations) by constructing a domain for …

We consider the vorticity form of the 2D Euler equations which is perturbed by a suitable
transport type noise and has white noise initial condition. It is shown that stationary solutions …

In this paper we study the stochastic quantization problem on the two dimensional torus and
establish ergodicity for the solutions. Furthermore, we prove a characterization of the Φ^ 4_2 …

We consider a quantum field model with exponential interactions on the two-dimensional
torus, which is called the\exp (Φ) _ 2 exp (Φ) 2-quantum field model or Høegh-Krohn's …

Large N limit of the O(N) linear sigma model via stochastic quantization Page 1 The Annals of
Probability 2022, Vol. 50, No. 1, 131–202 https://doi.org/10.1214/21-AOP1531 © Institute of …

In this paper we study the perturbation theory of $\Phi^ 4_2 $ model on the whole plane via
stochastic quantization. We use integration by parts formula (ie Dyson-Schwinger equations) …

In this paper, we continue the study of large $ N $ problems for the Wick renormalized linear
sigma model, ie $ N $-component $\Phi^ 4$ model, in two spatial dimensions, using …

I will review the setting and some of the recent results in the field of singular stochastic
partial differential equations (SSPDEs). Since Hairer's invention of regularity structures this …