期刊
COMMUNICATIONS IN MATHEMATICAL PHYSICS
卷 374, 期 2, 页码 525-547出版社
SPRINGER
DOI: 10.1007/s00220-019-03474-9
关键词
-
资金
- Leverhulme Trust [RPG-2017-228]
We introduce a family of loop soup models on the hypercubic lattice. The models involve links on the edges, and random pairings of the link endpoints on the sites. We conjecture that loop correlations of distant points are given by Poisson-Dirichlet correlations in dimensions three and higher. We prove that, in a specific random wire model that is related to the classical XY spin system, the probability that distant sites form an even partition is given by the Poisson-Dirichlet counterpart.
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