@inbook{fa8e4e03506b42c1bea42a43dfd38986,

title = "Concentration properties of restricted measures with applications to non-Lipschitz functions",

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 σ2 (μA) ≤ 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.",

author = "Bobkov, {Sergey G.} and Piotr Nayar and Prasad Tetali",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG 2017. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.",

year = "2017",

doi = "10.1007/978-3-319-45282-1_3",

language = "English (US)",

series = "Lecture Notes in Mathematics",

publisher = "Springer Verlag",

pages = "25--53",

booktitle = "Lecture Notes in Mathematics",

}