26 citations · 123 across the 18 of their papers we have counts for
4 papers · 1 filter
Fluctuation Exponents of the KPZ equation on a large torus
Alexander Dunlap, Yu Gu, Tomasz Komorowski
We study the one-dimensional KPZ equation on a large torus, started at equilibrium. The main results are optimal variance bounds in the super-relaxation regime and part of the rela…
Local versions of sum-of-norms clustering
Alexander Dunlap, Jean-Christophe Mourrat
Sum-of-norms clustering is a convex optimization problem whose solution can be used for the clustering of multivariate data. We propose and study a localized version of this method…
A quenched local limit theorem for stochastic flows
Alexander Dunlap, Yu Gu
We consider a particle undergoing Brownian motion in Euclidean space of any dimension, forced by a Gaussian random velocity field that is white in time and smooth in space. We show…
Sum-of-norms clustering does not separate nearby balls
Alexander Dunlap, Jean-Christophe Mourrat
Sum-of-norms clustering is a popular convexification of -means clustering. We show that, if the dataset is made of a large number of independent random variables distributed acc…