This article revisits the problem of global well-posedness for the generalized parabolic
Anderson model on $\mathbb {R}^+\times\mathbb {T}^ 2$ within the framework of …

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 present a construction of the fractional $\Phi^ 4$ Euclidean quantum field theory on
$\mathbb {R}^ 3$ in the full subcritical regime via parabolic stochastic quantisation. Our …

We prove the global well-posedness of the dynamical sine-Gordon model up to the third
threshold, ie, for parameters $\beta^ 2< 6\pi $. The key novelty in our approach is the …

We present a simple PDE construction of the sine-Gordon measure below the first threshold
($\be^ 2< 4\pi $), in both the finite and infinite volume settings, by studying the …

We derive the $\Phi^ 4_3 $ measure on the torus as a rigorous limit of the quantum Gibbs
state of an interacting Bose gas, where the limiting classical measure describes the critical …

The subject of the thesis is the study of singular stochastic partial differential equations
(SPDEs), in connection with questions of mathematical physics and constructive field theory …

We present a construction of the Gibbs measure of the fractional Φ4 model of Euclidean
quantum field theory in three-dimensions. The measure is obtained as a perturbation of the …