Stability of Talagrand’s inequality under concentration topology
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- by Ryunosuke Ozawa and Norihiko Suzuki PDF
- Proc. Amer. Math. Soc. 145 (2017), 4493-4501 Request permission
Abstract:
In this paper, we study the compatibility between Talagrand’s inequality and the concentration topology; i.e., if a sequence of mm-spaces satisfying Talagrand’s inequality converges with respect to the observable distance, then the limit space satisfies Talagrand’s inequality.References
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Additional Information
- Ryunosuke Ozawa
- Affiliation: Max Planck Institute for Mathematics, Vivatsgasse 7, 53111 Bonn, Germany
- Address at time of publication: Department of Mathematics, Osaka University, Osaka 560-0043, Japan
- MR Author ID: 1106713
- Email: r.ozawa@cr.math.sci.osaka-u.ac.jp
- Norihiko Suzuki
- Affiliation: Mathematical Institute, Tohoku University, Sendai 980-8578, Japan
- Email: norihiko.suzuki.p5@dc.tohoku.ac.jp
- Received by editor(s): July 18, 2016
- Received by editor(s) in revised form: November 1, 2016
- Published electronically: April 27, 2017
- Additional Notes: The first author was supported by JSPS KAKENHI Grant No. 24224002 and postdoctoral program at Max Planck Institute for Mathematics.
- Communicated by: Mark M. Meerschaert
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 4493-4501
- MSC (2010): Primary 53C23; Secondary 60E15
- DOI: https://doi.org/10.1090/proc/13580
- MathSciNet review: 3690632