Geodesic
A Non-Probabilistic Proof of the Assouad Embedding Theorem with Bounds on the Dimension
Analysis and Geometry in Metric Spaces, Tome 1 (2013) no. 1, pp. 36-41.

Voir la notice de l'article provenant de la source The Polish Digital Mathematics Library

We give a non-probabilistic proof of a theorem of Naor and Neiman that asserts that if (E, d) is a doubling metric space, there is an integer N > 0, depending only on the metric doubling constant, such that for each exponent α ∈ (1/2; 1), one can find a bilipschitz mapping F = (E; dα ) ⃗ R RN.
Mots-clés : Assouad Embedding, doubling metric spaces, snowflake distance 
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David, Guy; Snipes, Marie. A Non-Probabilistic Proof of the Assouad Embedding Theorem with Bounds on the Dimension. Analysis and Geometry in Metric Spaces, Tome 1 (2013) no. 1, pp. 36-41. http://geodesic.mathdoc.fr/item/AGMS_2013_1_1_a2/