Stochastic partial differential equations are ubiquitous in mathematical modeling. Yet, many
such equations are too singular to admit classical treatment. In this article we review some …

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

We study the stochastic six vertex model and prove that under weak asymmetry scaling (ie,
when the parameter Δ → 1^+ Δ→ 1+ so as to zoom into the ferroelectric/disordered phase …

Abstract We discuss the (1+ 1)-dimensional wave maps equation with values in a compact
Riemannian manifold. Motivated by the Gibbs measure problem, we consider Brownian …

Stochastic PDEs are ubiquitous in mathematical modeling. Yet, many such equations are
too singular to admit classical treatment. In this article we review some recent progress in …

We study the Langevin dynamics of a U (1) lattice gauge theory on the two-dimensional
torus, and prove that they converge for short time in a suitable gauge to a system of …

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

We propose a field-theoretic thermodynamic uncertainty relation as an extension of the one
derived so far for a Markovian dynamics on a discrete set of states and for overdamped …

In this work, we show a convergence result for the discrete formulation of the generalised
KPZ equation∂ tu=(Δ u)+ g (u)(∇ u) 2+ k (∇ u)+ h (u)+ f (u) ξ t (x), where ξ is real-valued, Δ …

We introduce a space of distributional 1-forms Ω^ 1_ α Ω α 1 on the torus T^ 2 T 2 for which
holonomies along axis paths are well-defined and induce Hölder continuous functions on …