If the probability of occupation at every site in a finite set depends only on its cardinality, the law is exchangeable. The product self-duality of symmetric exclusion and conservation of the finite dual particle count imply that all these occupation-product moments are unchanged by evolution. Inclusion-exclusion principle reconstructs every finite cylinder probability from them, proving invariance. This direct argument does not require a representation theorem for exchangeable laws.

Ancestors (11)

  1. Product self-duality of symmetric exclusion
  2. Stirring representation of symmetric exclusion
  3. Symmetric simple exclusion process
  4. Exclusion process
  5. Interacting particle system
  6. Stochastic process
  7. Probability theory
  8. Probability and statistics
  9. Area of mathematics
  10. Mathematics
  11. Home

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