Geodesic
Markov convexity and local rigidity of distorted metrics
Journal of the European Mathematical Society, Tome 15 (2013) no. 1, pp. 287-337.

Voir la notice de l'article provenant de la source EMS Press

It is shown that a Banach space admits an equivalent norm whose modulus of uniform convexity has power-type p if and only if it is Markov p-convex. Counterexamples are constructed to natural questions related to isomorphic uniform convexity of metric spaces, showing in particular that tree metrics fail to have the dichotomy property.
DOI : 10.4171/jems/362
Classification : 46-XX, 05-XX, 51-XX, 00-XX
Keywords: Uniform convexity, Markov convexity, local regidity, tree metrics 
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     title = {Markov convexity and local rigidity of distorted metrics},
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Manor Mendel; Assaf Naor. Markov convexity and local rigidity of distorted metrics. Journal of the European Mathematical Society, Tome 15 (2013) no. 1, pp. 287-337. doi : 10.4171/jems/362. http://geodesic.mathdoc.fr/articles/10.4171/jems/362/

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