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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

An isoperimetric theorem on the cube and the Kintchine-Kahane inequalities


Author: Michel Talagrand
Journal: Proc. Amer. Math. Soc. 104 (1988), 905-909
MSC: Primary 60E15; Secondary 60B11
MathSciNet review: 964871
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Abstract: For vectors $ {x_1}, \ldots, {x_n}$ in a Banach space, we bound the deviation of $ \left\Vert {\sum\nolimits_{i \leq n} {{\varepsilon _i}{x_i}} } \right\Vert$ from its median.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0964871-7
PII: S 0002-9939(1988)0964871-7
Keywords: Hamming distance, concentration of measure, Kintchine-Kahane inequalities, Bernoulli randomization
Article copyright: © Copyright 1988 American Mathematical Society