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Concentration of Multivariate Polynomials and Its Applications
Authors:Jeong Han Kim  Van H. Vu
Affiliation:(1) Microsoft Research; One Microsoft Way, Redmond WA98052, USA; E-mail: jehkim@microsoft.com, US;(2) Microsoft Research; One Microsoft Way, Redmond WA98052, USA; E-mail: vanhavu@microsoft.com, US
Abstract:are independent random variables which take values either 0 or 1, and Y is a multi-variable polynomial in 's with positive coefficients. We give a condition which guarantees that Y concentrates strongly around its mean even when several variables could have a large effect on Y. Some applications will be discussed. Received March 29, 1999
Keywords:AMS Subject Classification (1991) Classes:    05, 60
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