Dimensions of ℝ-trees and self-similar fractal spaces of nonpositive curvature

DOI10.3103/S1055134407020010zbMath1249.53060MaRDI QIDQ3115342

P. D. Andreev, Valeriĭ Nikolaevich Berestovskiĭ

Publication date: 20 February 2012

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionsymbolic dynamicstopological dimensionR-treeentropy dimensionCAT(0)-spaceself-similar fractalrough dimension

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (4)

On the geometry of similarly homogeneous \(\mathbb{R} \)-trees ⋮ Lipschitz mappings, metric differentiability, and factorization through metric trees ⋮ Geodesically complete spaces with an upper curvature bound ⋮ On the vertical similarly homogeneous \(\mathbb{R}\)-trees

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