A law of large numbers for local patterns in plane partitions
Probability
2020-02-26 v1 Combinatorics
Dynamical Systems
Abstract
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.
Keywords
Cite
@article{arxiv.2002.10781,
title = {A law of large numbers for local patterns in plane partitions},
author = {Pierre Lazag},
journal= {arXiv preprint arXiv:2002.10781},
year = {2020}
}