TY - JOUR
T1 - Probability distribution of metric measure spaces
AU - Kondo, Takefumi
PY - 2005/3
Y1 - 2005/3
N2 - In this paper we are going to generalize Gromov's mm-Reconstruction theorem (cf. [Metric Structures for Riemannian and Non-Riemannian Spaces, Birkhäuser, Basel, 1999] 31/2.5) to a probability measures on the spaces of mm-spaces. And for this purpose, we give alternative proof of mm-Reconstruction theorem.
AB - In this paper we are going to generalize Gromov's mm-Reconstruction theorem (cf. [Metric Structures for Riemannian and Non-Riemannian Spaces, Birkhäuser, Basel, 1999] 31/2.5) to a probability measures on the spaces of mm-spaces. And for this purpose, we give alternative proof of mm-Reconstruction theorem.
KW - Uniform distribution
UR - http://www.scopus.com/inward/record.url?scp=14044253509&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=14044253509&partnerID=8YFLogxK
U2 - 10.1016/j.difgeo.2004.10.001
DO - 10.1016/j.difgeo.2004.10.001
M3 - Article
AN - SCOPUS:14044253509
SN - 0926-2245
VL - 22
SP - 121
EP - 130
JO - Differential Geometry and its Applications
JF - Differential Geometry and its Applications
IS - 2
ER -