13 citations · 111 across the 23 of their papers we have counts for
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Canonical Local Equilibrium and Cutoff Profiles for the Symmetric Exclusion Process on Discrete Tori
Joe P. Chen
We prove a canonical (or fixed-population) local equilibrium theorem for the symmetric simple exclusion process on the discrete torus , , at particle densitie…
The cutoff profile for exclusion processes in any dimension
Joe P. Chen
Consider symmetric simple exclusion processes, with or without Glauber dynamics on the boundary set, on a sequence of connected unweighted graphs which converge geo…
Cutoffs for exclusion processes on graphs with open boundaries
Joe P. Chen, Milton Jara, Rodrigo Marinho
We prove a general theorem on cutoffs for symmetric simple exclusion processes on graphs with open boundaries, under the natural assumption that the graphs converge geometrically a…
Cutoffs for exclusion and interchange processes on finite graphs
Joe P. Chen, Rodrigo Marinho
We prove a general theorem on cutoffs for symmetric exclusion and interchange processes on finite graphs , under the assumption that either the graphs converge geome…
Higher order hydrodynamics and equilibrium fluctuations of interacting particle systems
Joe P. Chen, Federico Sau
Motivated by the recent preprint [arXiv:2004.08412] by Ayala, Carinci, and Redig, we first provide a general framework for the study of scaling limits of higher order fields. Then,…
Asymptotic behavior of density in the boundary-driven exclusion process on the Sierpinski gasket
Joe P. Chen, Patrícia Gonçalves
We derive the macroscopic laws that govern the evolution of the density of particles in the exclusion process on the Sierpinski gasket in the presence of a variable speed boundary.…
Local ergodicity in the exclusion process on an infinite weighted graph
Joe P. Chen
We establish an abstract local ergodic theorem, under suitable space-time scaling, for the (boundary-driven) symmetric exclusion process on an increasing sequence of balls covering…
Internal DLA on Sierpinski gasket graphs
Joe P. Chen, Wilfried Huss, Ecaterina Sava-Huss +1
Internal diffusion-limited aggregation (IDLA) is a stochastic growth model on a graph which describes the formation of a random set of vertices growing from the origin (some fi…
The moving particle lemma for the exclusion process on a weighted graph
Joe P. Chen
We prove a version of the moving particle lemma for the exclusion process on any finite weighted graph, based on the octopus inequality of Caputo, Liggett, and Richthammer. In ligh…
Stabilization by Noise of a -Valued Coupled System
Joe P. Chen, Lance Ford, Derek Kielty +4
Recently Herzog and Mattingly have shown that a -valued polynomial ODE which admits finite-time blow-up solutions may be stabilized by the addition of -valu…
Entropic repulsion of Gaussian free field on high-dimensional Sierpinski carpet graphs
Joe P. Chen, Baris Evren Ugurcan
Consider the free field on a fractal graph based on a high-dimensional Sierpinski carpet (e.g. the Menger sponge), that is, a centered Gaussian field whose covariance is the Green'…