Exponential and Gaussian concentration of 1-Lipschitz maps
Metric Geometry
2009-06-04 v1 Probability
Abstract
In this paper, we prove an exponential and Ganssian concentration inequality for 1-Lipschitz maps from mm-spaces to Hadamard manifolds. In particular, we give a complete answer to a question by M. Gromov.
Keywords
Cite
@article{arxiv.0906.0648,
title = {Exponential and Gaussian concentration of 1-Lipschitz maps},
author = {Kei Funano},
journal= {arXiv preprint arXiv:0906.0648},
year = {2009}
}
Comments
12pages. to appear in manuscripta math