Stability of Talagrand’s inequality under concentration topology

Ozawa, Ryunosuke; Suzuki, Norihiko

doi:10.1090/proc/13580

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.

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