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STABILITY OF TALAGRAND'S INEQUALITY UNDER CONCENTRATION TOPOLOGY.

Authors :
RYUNOSUKE OZAWA
NORIHIKO SUZUKI
Source :
Proceedings of the American Mathematical Society. Oct2017, Vol. 145 Issue 10, p4493-4501. 9p.
Publication Year :
2017

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
145
Issue :
10
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
124904450
Full Text :
https://doi.org/10.1090/proc/13580