Ahlfors regular conformal dimension and Gromov–Hausdorff convergence
Copyright policy )Ahlfors regular conformal dimension and Gromov–Hausdorff convergence
We prove that the Ahlfors regular conformal dimension is upper semicontinuous with respect to Gromov–Hausdorff convergence when restricted to the class of uniformly perfect, uniformly quasi-selfsimilar metric spaces. Moreover, we show the continuity of the Ahlfors regular conformal dimension in case of limit sets of discrete, quasiconvex-cocompact group of isometries of uniformly bounded codiameter of \delta -hyperbolic metric spaces under equivariant pointed Gromov–Hausdorff convergence of the spaces.
- École Polytechnique Fédérale de Lausanne EPFL Switzerland
(secondary). conformal dimension, Mathematics - Metric Geometry, Subject Classification (primary), combinatorial modulus, quasi-selfsimilar spaces, Quasiconformal mappings in metric spaces, FOS: Mathematics, Metric Geometry (math.MG), conformal dimension, Gromov-Hausdorff convergence
(secondary). conformal dimension, Mathematics - Metric Geometry, Subject Classification (primary), combinatorial modulus, quasi-selfsimilar spaces, Quasiconformal mappings in metric spaces, FOS: Mathematics, Metric Geometry (math.MG), conformal dimension, Gromov-Hausdorff convergence
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!