Scott A. Smith

activity

20152022

most citedPhase transitions, logarithmic Sobolev inequalities, and uniform-in-time propagation of chaos for weakly interacting diffusions

18 citations · 53 across the 8 of their papers we have counts for

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4 papers · 1 filter

math.PR2022★ 2 cited

A new derivation of the finite $N$ master loop equation for lattice Yang-Mills

Hao Shen, Scott A. Smith, Rongchan Zhu

We give a new derivation of the finite $N$ master loop equation for lattice Yang-Mills theory with structure group $S O (N)$ , $U (N)$ or $S U (N)$ . The $S O (N)$ case was initially proved…

math.PR2021★ 18 cited

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…

math.PR2020

Large $N$ Limit of the $O (N)$ Linear Sigma Model via Stochastic Quantization

Hao Shen, Scott Smith, Rongchan Zhu +1

This article studies large $N$ limits of a coupled system of $N$ interacting $Φ^{4}$ equations posed over $T^{d}$ for $d = 2$ , known as the $O (N)$ linear sigma model. Uniform…

math.PR2016★ 14 cited

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…

A new derivation of the finite N master loop equation for lattice Yang-Mills

Phase transitions, logarithmic Sobolev inequalities, and uniform-in-time propagation of chaos for weakly interacting diffusions

Large N Limit of the O(N) Linear Sigma Model via Stochastic Quantization

On the Boltzmann Equation with Stochastic Kinetic Transport: Global Existence of Renormalized Martingale Solutions

A new derivation of the finite $N$ master loop equation for lattice Yang-Mills

Large $N$ Limit of the $O (N)$ Linear Sigma Model via Stochastic Quantization