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math.MG2017★ 1 cited
Differential forms for fractal subspaces and finite energy coordinates
Daniel J. Kelleher
This paper introduces a notion of differential forms on closed, potentially fractal, subsets of Euclidean space by defining pointwise cotangent spaces using the restriction of $C^1…
math.MG2011
Random walks on barycentric subdivisions and the Strichartz hexacarpet
Matthew Begue, Daniel J. Kelleher, Aaron Nelson +3
We investigate the relation between simple random walks on repeated barycentric subdivisions of a triangle and a self-similar fractal, Strichartz hexacarpet, which we introduce. We…