Report
Dimer-dimer correlations at the rough-smooth boundary
| العنوان: | Dimer-dimer correlations at the rough-smooth boundary |
|---|---|
| المؤلفون: | Johansson, Kurt, Mason, Scott |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, Mathematics - Probability |
| الوصف: | Three phases of macroscopic domains have been seen for large but finite periodic dimer models; these are known as the frozen, rough and smooth phases. The transition region between the frozen and rough region has received a lot of attention for the last twenty years and recently work has been underway to understand the rough-smooth transition region in the case of the two-periodic Aztec diamond. We compute uniform asymptotics for dimer-dimer correlations of the two-periodic Aztec diamond when the dimers lie in the rough-smooth transition region. These asymptotics rely on a formula found in [5] for the inverse Kasteleyn matrix, they also apply to a related infinite dimer model. Comment: The introduction was expanded, the numbering of corollaries in section 3 was altered, a minor mistake was fixed in equation (74) and a simplification was made (see remark 1) |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2110.14505 |
| رقم الانضمام: | edsarx.2110.14505 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |