A law of large numbers for local patterns in plane partitions

25 Feb 2020 Lazag Pierre

In this note, we prove a law of large numbers for local patterns in plane partitions with geometric weight, a model introcued by Okounkov and Reshetikhin. Its proof is based on the determinantal structure of the corresponding point process, wich allows to control the decay of the correlations in a convenient manner...

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Categories


  • PROBABILITY
  • COMBINATORICS
  • DYNAMICAL SYSTEMS