Doubling metric spaces are characterized by a lemma of Benjamini and Schramm

DOI10.1090/S0002-9939-2014-12156-3zbMath1304.30075arXiv1211.0216WikidataQ124840877 ScholiaQ124840877MaRDI QIDQ2930636

James T. Gill

Publication date: 19 November 2014

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

Full work available at URL: https://arxiv.org/abs/1211.0216

zbMATH Keywords

doubling spaceAssouad dimension

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Geometric embeddings of metric spaces (30L05)

Related Items (3)

Non-intersection of transient branching random walks ⋮ Percolation on hyperbolic graphs ⋮ Discrete uniformizing metrics on distributional limits of sphere packings

Cites Work

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• On the Riemann surface type of random planar maps
• On limits of graphs sphere packed in Euclidean space and applications
• Lectures on analysis on metric spaces
• Assouad's theorem with dimension independent of the snowflaking
• Recurrence of distributional limits of finite planar graphs
• Recurrence of planar graph limits
• Distributional limits of Riemannian manifolds and graphs with sublinear genus growth
• Plongements lipschitziens dans ${\bbfR}\sp n$

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