@article{44bef72b162e4dfebb8a0baf4744f236,
title = "Stabilities of rough curvature dimension condition",
abstract = "We study the asymptotic behavior of metric measure spaces satisfying the rough curvature dimension condition. We prove stabilities of the rough curvature dimension condition with respect to the observable distance function and the L2-transportation distance function.",
keywords = "L2-transportation distance, Observable distance, Optimal transport, Rough curvature dimension condition",
author = "Daisuke Kazukawa and Ryunosuke Ozawa and Norihiko Suzuki",
note = "Funding Information: 2010 Mathematics Subject Classification. Primary 53C23; Secondary 52C99. Key Words and Phrases. optimal transport, rough curvature dimension condition, L2-transportation distance, observable distance. The first author is partly supported by the Grant-in-Aid for JSPS Fellows (No.17J02121). The second author was partly supported by JSPS KAKENHI (No.24224002), Max-Planck Institute for Mathematics, and the Grant-in-Aid for JSPS Fellows (No.17J03507). Publisher Copyright: {\textcopyright} 2020 The Mathematical Society of Japan.",
year = "2020",
doi = "10.2969/jmsj/81468146",
language = "English",
volume = "72",
pages = "541--567",
journal = "Journal of the Mathematical Society of Japan",
issn = "0025-5645",
publisher = "Mathematical Society of Japan - Kobe University",
number = "2",
}