Hausdorff dimension varies continuously on equivalent dynamically defined wild knots

DOI10.1007/s00574-021-00264-7zbMath1501.57020OpenAlexW3169724862MaRDI QIDQ2145167

Vladimir Caetano, Rogelio Valdez, Gabriela Hinojosa

Publication date: 17 June 2022

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-021-00264-7

zbMATH Keywords

Hausdorff dimensionKleinian groupsequivalent wild knots

Mathematics Subject Classification ID

Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Wild embeddings (57M30)

Cites Work

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• Hyperbolic 4-manifolds and conformally flat 3-manifolds
• Rufus Bowen (1947-1978)
• Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups
• On isomorphisms of geometrically finite Möbius groups
• Hausdorff dimension and limits of Kleinian groups
• Hausdorff dimension and Kleinian groups
• Hausdorff dimension and conformal dynamics. I: Strong convergence of Kleinian groups
• Homogeneity of dynamically defined wild knots
• Some wild cells and spheres in three-dimensional space
• Locally tame sets are tame
• Wild knots in higher dimensions as limit sets of Kleinian groups
• ALGEBRAIC CONVERGENCE OF FINITELY GENERATED KLEINIAN GROUPS
• Calculating Hausdorff dimension of Julia sets and Kleinian limit sets
• Repellers for real analytic maps
• A Characterization of Punctured Open 3-Cells
• FUNDAMENTAL GROUPS
• Hyperbolic manifolds and discrete groups

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