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arXiv · 1912.06698

Geodesic Interpolation on Sierpinski Gaskets

Caitlin M. Davis·Laura A. LeGare·Cory W. McCartan·Luke G. Rogers
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Abstract

We study the analogue of a convex interpolant of two sets on Sierpinski gaskets and an associated notion of measure transport. The structure of a natural family of interpolating measures is described and an interpolation inequality is established. A key tool is a good description of geodesics on these gaskets, some results on which have previously appeared in the literature.

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Caitlin M. Davis, Laura A. LeGare, Cory W. McCartan, Luke G. Rogers. 2019-12-13. Geodesic Interpolation on Sierpinski Gaskets. https://doi.org/10.4171/jfg%2F100

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