5 papers
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…
Spectral decimation of the magnetic Laplacian on the Sierpinski gasket: Solving the Hofstadter-Sierpinski butterfly
Joe P. Chen, Ruoyu Guo
The magnetic Laplacian (also called the line bundle Laplacian) on a connected weighted graph is a self-adjoint operator wherein the real-valued adjacency weights are replaced by un…
Laplacian growth & sandpiles on the Sierpinski gasket: limit shape universality and exact solutions
Joe P. Chen, Jonah Kudler-Flam
We establish quantitative spherical shape theorems for rotor-router aggregation and abelian sandpile growth on the graphical Sierpinski gasket () when particles are launched fr…