Rectifiable curves in Sierpinski carpets

DOI10.1512/iumj.2011.60.4382zbMath1248.28009OpenAlexW1969213239MaRDI QIDQ2884651

Jeremy T. Tyson, Estibalitz Durand-Cartagena

Publication date: 30 May 2012

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: http://www.iumj.indiana.edu/IUMJ/ABS/2011/4382

zbMATH Keywords

Sierpinski carpetrectifiable curvesefl-similarset Slopes \(\mathbb S_a\)

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (8)

Modulus and Poincaré inequalities on non-self-similar Sierpiński carpets ⋮ Manhattan property of geodesic paths on self-affine carpets ⋮ GEODESICS IN THE SIERPINSKI CARPET AND MENGER SPONGE ⋮ The topological Hausdorff dimension and transport properties of Sierpiński carpets ⋮ Periodic billiard orbits of self-similar Sierpiński carpets ⋮ On the Lipschitz dimension of Cheeger–Kleiner ⋮ Differentiable points of Sierpinski-like sponges ⋮ Mean geodesic distance of the level-\(n\) Sierpinski gasket

This page was built for publication: Rectifiable curves in Sierpinski carpets