Trees and Markov convexity

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We show that an infinite weighted tree admits a bi-Lipschitz embedding into Hilbert space if and only if it does not contain arbitrarily large complete binary trees with uniformly bounded distortion. We also introduce a new metric invariant called Markov convexity, and show how it can be used to compute the Euclidean distortion of any metric tree up to universal factors.

Keywords

Metric Geometry, Functional Analysis

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/129840

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.0545
 http://arxiv.org/abs/0706.0545

Collections

arXiv