Exponential and Gaussian concentration of 1-Lipschitz maps

Details Exponential and Gaussian concentration of 1-Lipschitz maps Exponential and Gaussian concentration of 1-Lipschitz maps

2009-06-03

arxiv.org/abs/0906.0648v1

Mathematics

Metric Geometry

12pages. to appear in manuscripta math

Scientific paper

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.

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