Scott Andrew Smith

Associate Professor
Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences
ssmith@amss.ac.cn

Bio

I'm an associate professor at the Academy of Mathematics and Systems Sciences within the Chinese Academy of Sciences in Beijing. My interest in mathematics started at the University of Maryland, where I received my Bachelor's in 2011 and PhD in 2016. Most of my recent work concerns singular stochastic PDEs and related problems in mathematical physics.

Google Scholar profile →

Papers

Singular SPDEs and rough PDEs

Schauder estimates for germs by scaling
with Jonas Sauer
arXivStochastics and Partial Differential Equations: Analysis and Computations (special issue in memory of Giuseppe Da Prato) · 2025
A priori bounds for quasi-linear SPDEs in the full sub-critical regime
with Felix Otto, Jonas Sauer, Hendrik Weber
arXivJournal of the European Mathematical Society · 2025
Parabolic equations with rough coefficients and singular forcing
with Felix Otto, Jonas Sauer, Hendrik Weber
arXivPreprint · 2018
Hölder estimates for fractional parabolic equations with critical divergence free drifts
with Matias Delgadino
arXivAnnales de l’Institut Henri Poincaré C, Analyse non linéaire · 2018

Probability and mathematical physics

Mass generation in the large N limit of the two dimensional O(N) linear sigma model
with Matias Delgadino
arXivPreprint · 2026
Makeenko–Migdal equations for lattice Yang–Mills–Higgs
with Hao Shen, Rongchan Zhu
arXivAdvanced Nonlinear Studies (special issue for the 95th birthday of Leonard Gross) · 2026
Makeenko–Migdal equations for 2d Yang–Mills: from lattice to continuum
with Hao Shen, Rongchan Zhu
arXivPreprint · 2024
A new derivation of the finite N master loop equation for lattice Yang–Mills
with Hao Shen, Rongchan Zhu
arXivElectronic Journal of Probability · 2024
Phase transitions, logarithmic Sobolev inequalities, and uniform-in-time propagation of chaos for weakly interacting diffusions
with Matias Delgadino, Rishabh S. Gvalani, Grigorios A. Pavliotis
JournalCommunications in Mathematical Physics · 2023
Large N limit of the O(N) linear sigma model via stochastic quantization
with Hao Shen, Rongchan Zhu, Xiangchan Zhu
arXivAnnals of Probability · 2022

Stochastic fluid and kinetic equations

Stochastic continuity equations with conservative noise
with Benjamin Gess
arXivJournal de Mathématiques Pures et Appliquées · 2019
On the Boltzmann equation with stochastic kinetic transport: global existence of renormalized martingale solutions
with Sam Punshon-Smith
arXivArchive for Rational Mechanics and Analysis · 2018
The stochastic Navier–Stokes equations for heat-conducting, compressible fluids: global existence of weak solutions
with Konstantina Trivisa
JournalJournal of Evolution Equations · 2018
Random perturbations of viscous, compressible fluids: global existence of weak solutions
arXivSIAM Journal on Mathematical Analysis · 2017