How much are increasing sets positively correlated?

Abstract

Two upward directed sets of sequences of zeroes and ones are positively correlated. We provide a lower bound on the correlation, in function of how much the two sets simultaneously depend on the same coordinates.

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References

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Work partially supported by an NSF grant.

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Talagrand, M. How much are increasing sets positively correlated?. Combinatorica 16, 243–258 (1996). https://doi.org/10.1007/BF01844850

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Mathematics Subject Classification (1991)

  • 05 A 20
  • 28 A 35