18 citations · 53 across the 8 of their papers we have counts for
9 papers
A new derivation of the finite master loop equation for lattice Yang-Mills
Hao Shen, Scott A. Smith, Rongchan Zhu
We give a new derivation of the finite master loop equation for lattice Yang-Mills theory with structure group , or . The case was initially proved…
Phase transitions, logarithmic Sobolev inequalities, and uniform-in-time propagation of chaos for weakly interacting diffusions
Matías G. Delgadino, Rishabh S. Gvalani, Grigorios A. Pavliotis +1
In this article, we study the mean field limit of weakly interacting diffusions for confining and interaction potentials that are not necessarily convex. We explore the relationshi…
A priori bounds for quasi-linear SPDEs in the full sub-critical regime
Felix Otto, Jonas Sauer, Scott Smith +1
This paper is concerned with quasi-linear parabolic equations driven by an additive forcing , in the full sub-critical regime . We are inspired by Hairer'…
Large Limit of the Linear Sigma Model via Stochastic Quantization
Hao Shen, Scott Smith, Rongchan Zhu +1
This article studies large limits of a coupled system of interacting equations posed over for , known as the linear sigma model. Uniform…
Parabolic equations with rough coefficients and singular forcing
Felix Otto, Jonas Sauer, Scott Smith +1
This article focuses on parabolic equations with rough diffusion coefficients which are ill-posed in the classical sense of distributions due to the presence of a singular forcing.…
Stochastic continuity equations with conservative noise
Benjamin Gess, Scott Smith
The present article is devoted to well-posedness by noise for the continuity equation. Namely, we consider the continuity equation with non-linear and partially degenerate stochast…
Hölder estimates for fractional parabolic equations with critical divergence free drifts
Matias G. Delgadino, Scott Smith
This work focuses on drift-diffusion equations with fractional dissipation in the regime . Our main result is an a priori Hölder estimate on smooth solutions…
On the Boltzmann Equation with Stochastic Kinetic Transport: Global Existence of Renormalized Martingale Solutions
Samuel Punshon-Smith, Scott Smith
This article studies the Cauchy problem for the Boltzmann equation with stochastic kinetic transport. Under a cut-off assumption on the collision kernel and a coloring hypothesis f…
Random Perturbations of Viscous Compressible Fluids: Global Existence of Weak Solutions
Scott Smith
This article is devoted to the well-posedness of the stochastic compressible Navier Stokes equations. We establish the global existence of an appropriate class of weak solutions em…