540 citations · 3.3k across the 83 of their papers we have counts for
72 papers · 1 filter
Features of a spin glass in the random field Ising model
Sourav Chatterjee
A longstanding open question in the theory of disordered systems is whether short-range models, such as the random field Ising model or the Edwards-Anderson model, can indeed have…
Enumerative Theory for the Tsetlin Library
Sourav Chatterjee, Persi Diaconis, Gene B. Kim
The Tsetlin library is a well-studied Markov chain on the symmetric group . It has stationary distribution the Luce model, a nonuniform distribution on , which app…
An invariance principle for the 1D KPZ equation
Arka Adhikari, Sourav Chatterjee
Consider a discrete one-dimensional random surface whose height at a point grows as a function of the heights at neighboring points plus an independent random noise. Assuming that…
A random walk on the Rado graph
Sourav Chatterjee, Persi Diaconis, Laurent Miclo
The Rado graph, also known as the random graph , is a classical limit object for finite graphs. We study natural ball walks as a way of understanding the geometry of…
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…