Geodesic Interpolation on Sierpinski Gaskets
Classical Analysis and ODEs
2021-06-01 v1
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.
Keywords
Cite
@article{arxiv.1912.06698,
title = {Geodesic Interpolation on Sierpinski Gaskets},
author = {Caitlin M. Davis and Laura A. LeGare and Cory W. McCartan and Luke G. Rogers},
journal= {arXiv preprint arXiv:1912.06698},
year = {2021}
}