Variance of additive functions defined on random assemblies (1605.04239v1)

Published 13 May 2016 in math.CO

Abstract: An inequality for the variance of an additive function defined on random decomposable structures, called assemblies, is established. The result generalizes estimates obtained earlier in the cases of permutations and mappings of a finite set into itself. It is analogous to the Tur\'an-Kubilius inequality for additive number-theoretic functions.

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