Concentration properties of restricted measures with applications to non-Lipschitz functions

Sergey G. Bobkov, Piotr Nayar, Prasad Tetali

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Scopus citations

Abstract

We show that, for any metric probability space (M, d, μ) with a subgaussian constant σ2 (μ) and any Borel measurable set A ⊂ M, we have σ2A) ≤ c log e/μ.(A)) σ2(μ), where μA is a normalized restriction of μ to the set A and c is a universal constant. As a consequence, we deduce concentration inequalities for non-Lipschitz functions.

Original languageEnglish (US)
Title of host publicationLecture Notes in Mathematics
PublisherSpringer Verlag
Pages25-53
Number of pages29
DOIs
StatePublished - 2017

Publication series

NameLecture Notes in Mathematics
Volume2169
ISSN (Print)0075-8434

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