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On functional decomposition of multivariate polynomials with differentiation and homogenization

โœ Scribed by Shangwei Zhao; Ruyong Feng; Xiao-Shan Gao


Book ID
113082753
Publisher
Academy of Mathematics and Systems Science, Chinese Academy of Sciences
Year
2012
Tongue
English
Weight
296 KB
Volume
25
Category
Article
ISSN
1009-6124

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Let t 1 t n be independent, but not necessarily identical, 0 1 random variables. We prove a general large deviation bound for multivariate polynomials (in t 1 t n ) with small expectation [order O polylog n ]. Few applications in random graphs and combinatorial number theory will be discussed. Our r