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Lower bound on the correlation between monotone families in the average case

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Publication:1023393
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DOI10.1016/j.aam.2008.11.004zbMath1171.42022OpenAlexW2051397982MaRDI QIDQ1023393

Nathan Keller

Publication date: 11 June 2009

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2008.11.004


zbMATH Keywords

correlation inequalitiesdiscrete Fourier analysisinfluences


Mathematics Subject Classification ID

Combinatorial probability (60C05) Nontrigonometric harmonic analysis (42C99)


Related Items (2)

Chvátal's conjecture and correlation inequalities ⋮ On the correlation of increasing families



Cites Work

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  • Noise stability of functions with low influences: invariance and optimality
  • Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions
  • On Russo's approximate zero-one law
  • The influence of variables in product spaces
  • How much are increasing sets positively correlated?
  • Decision Trees and Influences of Variables Over Product Probability Spaces
  • Monotone Boolean functions
  • Families of Non-disjoint subsets


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