Spaces and groups with conformal dimension greater than one
From MaRDI portal
Publication:982685
DOI10.1215/00127094-2010-023zbMath1273.30056arXiv0711.0417OpenAlexW3102106258MaRDI QIDQ982685
Publication date: 7 July 2010
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0711.0417
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Metric geometry (51F99) Hyperbolic groups and nonpositively curved groups (20F67) Quasiconformal mappings in metric spaces (30L10)
Related Items
Discrete length-volume inequalities and lower volume bounds in metric spaces ⋮ \(\ell_p\)-cohomology in higher degrees and conformal dimension ⋮ Constructing uniform spaces ⋮ Conformal dimension and random groups. ⋮ On the Hausdorff dimension of the residual set of a packing by smooth curves ⋮ Semi-hyperbolic rational maps and size of Fatou components ⋮ Hausdorff dimension of wiggly metric spaces ⋮ Conformal dimension and canonical splittings of hyperbolic groups ⋮ Conformal dimension and combinatorial modulus of compact metric spaces ⋮ Conformal dimension of hyperbolic groups that split over elementary subgroups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
- Cut points and canonical splittings of hyperbolic groups
- Quasiconformal maps in metric spaces with controlled geometry
- Rigidity for quasi-Möbius group actions
- Lectures on analysis on metric spaces
- Fat sets and pointwise boundary estimates for \(p\)-harmonic functions in metric spaces
- At the boundary of some hyperbolic polyhedra
- 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
- Existence of quasi-arcs
- Quasisymmetric embeddings of metric spaces
- Quasi-hyperbolic planes in hyperbolic groups
- Spaces and arcs of bounded turning