Geodesic interpolation on Sierpiński gaskets

DOI10.4171/JFG/100zbMath1470.28008arXiv1912.06698MaRDI QIDQ2031478

Cory W. McCartan, Caitlin M. Davis, Luke G. Rogers, Laura A. Legare

Publication date: 9 June 2021

Published in: Journal of Fractal Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.06698

zbMATH Keywords

transportgeodesicSierpiński gasketfractalBrunn-Minkowski inequalitygeodesic distanceconvex interpolationgeodesic interpolation

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Fractals (28A80) Distance in graphs (05C12) Geometric embeddings of metric spaces (30L05) Optimal transportation (49Q22)

Cites Work

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• Conformal energy, conformal Laplacian, and energy measures on the Sierpinski gasket
• Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions
• Optimal Transport

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