Concentration of Multivariate Polynomials and Its Applications

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.

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Received March 29, 1999

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Kim, J., Vu, V. Concentration of Multivariate Polynomials and Its Applications. Combinatorica 20, 417–434 (2000). https://doi.org/10.1007/s004930070014

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  • AMS Subject Classification (1991) Classes:  05, 60