13 citations · 111 across the 23 of their papers we have counts for
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math.PR2013★ 5 cited
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'…
math.DS2013★ 11 cited
Periodic billiard orbits of self-similar Sierpinski carpets
Joe P. Chen, Robert G. Niemeyer
We identify a collection of periodic billiard orbits in a self-similar Sierpinski carpet billiard table. Based on a refinement of the result of Durand-Cartagena and Tyson regarding…