75 citations · 932 across the 61 of their papers we have counts for
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math.PR2008★ 69 cited
Brownian motion on the Sierpinski carpet
Martin T. Barlow, Richard F. Bass, Takashi Kumagai +1
We prove that, up to scalar multiples, there exists only one local regular Dirichlet form on a generalized Sierpinski carpet that is invariant with respect to the local symmetries…
math.CA2008★ 43 cited
Laplacians on the basilica Julia set
Luke G. Rogers, Alexander Teplyaev
We consider the basilica Julia set of the polynomial and construct all possible resistance (Dirichlet) forms, and the corresponding Laplacians, for which the topolog…