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math-ph2019★ 1 cited
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…
math.PR2019★ 3 cited
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.…