تقرير
Loop correlations in random wire models
| العنوان: | Loop correlations in random wire models |
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| المؤلفون: | Benassi, Costanza, Ueltschi, Daniel |
| المصدر: | Commun. Math. Phys. 374, 525-547 (2020) |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, Mathematics - Probability, 60C05, 60K35, 82B05, 82B20, 82B26 |
| الوصف: | 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. Comment: 20 pages, 5 figures. An error in Prop. 4.1 has been corrected |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s00220-019-03474-9 |
| URL الوصول: | http://arxiv.org/abs/1807.06564 |
| رقم الأكسشن: | edsarx.1807.06564 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/s00220-019-03474-9 |
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