540 citations · 3.3k across the 83 of their papers we have counts for
11 papers · 1 filter
A state space for 3D Euclidean Yang-Mills theories
Sky Cao, Sourav Chatterjee
It is believed that Euclidean Yang-Mills theories behave like the massless Gaussian free field (GFF) at short distances. This makes it impossible to define the main observables for…
The Yang-Mills heat flow with random distributional initial data
Sky Cao, Sourav Chatterjee
We construct local solutions to the Yang-Mills heat flow (in the DeTurck gauge) for a certain class of random distributional initial data, which includes the 3D Gaussian free field…
Existence of stationary ballistic deposition on the infinite lattice
Sourav Chatterjee
Ballistic deposition is one of the many models of interface growth that are believed to be in the KPZ universality class, but have so far proved to be largely intractable mathemati…
Local KPZ behavior under arbitrary scaling limits
Sourav Chatterjee
One of the main difficulties in proving convergence of discrete models of surface growth to the Kardar-Parisi-Zhang (KPZ) equation in dimensions higher than one is that the correct…
Isomorphisms between random graphs
Sourav Chatterjee, Persi Diaconis
Consider two independent Erdős-Rényi graphs. We show that with probability tending to as , the largest induced isomorphic subgraph has size either $\lflo…
Convergence of deterministic growth models
Sourav Chatterjee, Panagiotis E. Souganidis
We prove the uniform in space and time convergence of the scaled heights of large classes of deterministic growth models that are monotone and equivariant under translations by con…