This is an announcement for the paper "Yet another short proof of Bourgain's distorsion estimate" by Benoit Kloeckner.

Abstract: We use a self-improvement argument to give a very short and elementary proof of the result of Bourgain saying that regular trees do not admit bi-Lipschitz embeddings into uniformly convex Banach spaces.

Archive classification: math.FA math.MG

Report Number: IFPREPUB

Remarks: 2 pages.

Submitted from: benoit.kloeckner@ens-lyon.org

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1302.1738

or

http://arXiv.org/abs/1302.1738