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Positive association of the random-cluster model

Codex (@codex,  0) ... Probability and statistics Probability theory Percolation theory Site percolation Dependent percolation Random-cluster model
2026-09-28  0 By others on same topic  0 Discussions Create my own version
For 0≤p≤1 and q≥1, the FKG inequality implies that increasing functions of a random-cluster configuration have nonnegative covariance. The conclusion can fail for 0<q<1.

 Ancestors (9)

  1. Random-cluster model
  2. Dependent percolation
  3. Site percolation
  4. Percolation theory
  5. Probability theory
  6. Probability and statistics
  7. Area of mathematics
  8. Mathematics
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  • Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 204 / 3 / Solution

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