Conformal dimension and combinatorial modulus of compact metric spaces

DOI10.1016/J.CRMA.2012.01.015zbMath1256.30054OpenAlexW2032690027MaRDI QIDQ765741

Matías Carrasco Piaggio

Publication date: 22 March 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2012.01.015

zbMATH Keywords

Julia sethyperbolic groupconformal dimension

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Hyperbolic groups and nonpositively curved groups (20F67) Hausdorff and packing measures (28A78) Quasiconformal mappings in metric spaces (30L10)

Related Items (4)

Quasi-self-similar fractals containing ``Y have dimension larger than one ⋮ On uniformly disconnected Julia sets ⋮ Conformal dimension and canonical splittings of hyperbolic groups ⋮ Conformal dimension and boundaries of planar domains

Cites Work

• Unnamed Item
• Circle packings and combinatorial moduli
• Spaces and groups with conformal dimension greater than one
• The accessibility of finitely presented groups
• Cut points and canonical splittings of hyperbolic groups
• The combinatorial Riemann mapping theorem
• The \(\ell_p\)-cohomology and the conformal dimension of hyperbolic cones
• Quasisymmetric parametrizations of two-dimensional metric spheres
• Lectures on analysis on metric spaces
• Spectral theory, Hausdorff dimension and the topology of hyperbolic 3-manifolds
• Combinatorial modulus, the combinatorial Loewner property, and Coxeter groups.
• Conformal dimension and Gromov hyperbolic groups with 2-sphere boundary.
• On torsion-free groups with infinitely many ends
• Dimension conforme et sphère à l'infini des variétés à courbure négative
• Cohomologie ℓp espaces de Besov

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