Conformal dimension of the antenna set

DOI10.1090/S0002-9939-01-05982-2zbMath0972.30010OpenAlexW1795964095MaRDI QIDQ2750860

Christopher J. Bishop, Jeremy T. Tyson

Publication date: 21 October 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-05982-2

zbMATH Keywords

Hausdorff dimensionself-similar setsquasiconformal mapconformal dimension

Mathematics Subject Classification ID

Hausdorff and packing measures (28A78) Quasiconformal mappings in the complex plane (30C62)

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Topology automaton of self-similar sets and its applications to metrical classifications ⋮ Quasiconformal dimensions of selfsimilar fractals ⋮ Conformal dimension and Gromov hyperbolic groups with 2-sphere boundary. ⋮ Densely branching trees as models for Hénon-like and Lozi-like attractors ⋮ Muckenhoupt \(A_p\)-properties of distance functions and applications to Hardy-Sobolev-type inequalities ⋮ Unnamed Item ⋮ Quasiconformal and geodesic trees ⋮ Hausdorff dimension distribution of quasiconformal mappings on the Heisenberg group ⋮ Hausdorff dimension of wiggly metric spaces ⋮ Trees and hyperbolicity. The continuum self-similar tree ⋮ Conformal dimension does not assume values between zero and one ⋮ Global conformal Assouad dimension in the Heisenberg group ⋮ Conformal dimension and canonical splittings of hyperbolic groups ⋮ Conformal dimension and boundaries of planar domains

Cites Work

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• Wiggly sets and limit sets
• Lectures on analysis on metric spaces
• At the boundary of some hyperbolic polyhedra
• Dimension conforme et sphère à l'infini des variétés à courbure négative
• Sets of minimal Hausdorff dimension for quasiconformal maps
• Hausdorff Dimension and Quasiconformal Mappings

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