Explicit computation of the variance of the number of maxima in hypercubes

We present a combinatorial approach of the variance for the number of maxima in hypercubes. This leads to an explicit expression, in terms of Multiple Zeta Values, of the dominant term in the asymptotic expansion of this variance.Moreover, we get an algorithm to compute this expansion, and show that...

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Bibliographic Details
Main Authors: Christian Costermans, Hoang Ngoc Minh
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2006-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/3487/pdf