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math.MG2024
The Combinatorial Loewner Property and super-multiplicativity inequalities for symmetric self-similar metric spaces
Riku Anttila, Sylvester Eriksson-Bique
This paper introduces a general construction of self-similar metric spaces as limits of discrete graphs. Our framework produces many classical examples, such as the Sierpiński carp…
math.MG2024★ 1 cited
On Constructions of Fractal Spaces Using Replacement and the Combinatorial Loewner Property
Riku Anttila, Sylvester Eriksson-Bique
The combinatorial Loewner property was introduced by Bourdon and Kleiner as a quasisymmetrically invariant substitute for the Loewner property for general fractals and boundaries o…