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most citedMeasurable Riemannian structure on higher dimensional harmonic Sierpinski gaskets

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math.CA2017★ 1 cited

Measurable Riemannian structure on higher dimensional harmonic Sierpinski gaskets

Sara Chari, Joshua Frisch, Daniel J. Kelleher +1

We prove existence of a measurable Riemannian structure on higher-dimensional harmonic Sierpinski gasket fractals and deduce Gaussian heat kernel bounds in the geodesic metric. Our…