مورد إلكتروني
The two-periodic Aztec diamond and matrix valued orthogonal polynomials
| العنوان: | The two-periodic Aztec diamond and matrix valued orthogonal polynomials |
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| بيانات النشر: | KTH, Matematik (Avd.) Katholieke Univ Leuven, Dept Math, Celestijnenlaan 200 B, B-3001 Leuven, Belgium. European Mathematical Society - EMS - Publishing House GmbH 2021 |
| تفاصيل مُضافة: | Duits, Maurice Kuijlaars, Arno B. J. |
| نوع الوثيقة: | Electronic Resource |
| مستخلص: | We analyze domino tilings of the two-periodic Aztec diamond by means of matrix valued orthogonal polynomials that we obtain from a reformulation of the Aztec diamond as a non-intersecting path model with periodic transition matrices. In a more general framework we express the correlation kernel for the underlying determinantal point process as a double contour integral that contains the reproducing kernel of matrix valued orthogonal polynomials. We use the Riemann-Hilbert problem to simplify this formula for the case of the two-periodic Aztec diamond. In the large size limit we recover the three phases of the model known as solid, liquid and gas. We describe the fine asymptotics for the gas phase and at the cusp points of the liquid-gas boundary, thereby complementing and extending results of Chhita and Johansson. QC 20210412 |
| مصطلحات الفهرس: | Aztec diamond, random tilings, matrix valued orthogonal polynomials, Riemann-Hilbert problems, Mathematical Analysis, Matematisk analys, Article in journal, info:eu-repo/semantics/article, text |
| DOI: | 10.4171.JEMS.1029 |
| URL: | Journal of the European Mathematical Society (Print), 1435-9855, 2021, 23:4, s. 1029-1131 |
| الإتاحة: | Open access content. Open access content info:eu-repo/semantics/restrictedAccess |
| ملاحظة: | English |
| أرقام أخرى: | UPE oai:DiVA.org:kth-292604 0000-0002-7598-4521 doi:10.4171/JEMS/1029 ISI:000627870800002 Scopus 2-s2.0-85103572191 1248708329 |
| المصدر المساهم: | UPPSALA UNIV LIBR From OAIster®, provided by the OCLC Cooperative. |
| رقم الأكسشن: | edsoai.on1248708329 |
| قاعدة البيانات: | OAIster |
| DOI: | 10.4171.JEMS.1029 |
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