TY - JOUR
T1 - Exponential and gaussian concentration of 1-lipschitz maps
AU - Funano, Kei
N1 - Funding Information:
This work was partially supported by Research Fellowships of the Japan Society for the Promotion of Science for Young Scientists.
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=70350762143&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=70350762143&partnerID=8YFLogxK
U2 - 10.1007/s00229-009-0280-5
DO - 10.1007/s00229-009-0280-5
M3 - Article
AN - SCOPUS:70350762143
SN - 0025-2611
VL - 130
SP - 273
EP - 285
JO - Manuscripta Mathematica
JF - Manuscripta Mathematica
IS - 3
ER -