مورد إلكتروني
Asymptotics for Hankel Determinants Associated to a Hermite Weight with a Varying Discontinuity
| العنوان: | Asymptotics for Hankel Determinants Associated to a Hermite Weight with a Varying Discontinuity |
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| بيانات النشر: | KTH, Matematik (Inst.) NATL ACAD SCI UKRAINE, INST MATH 2018 |
| تفاصيل مُضافة: | Charlier, Christophe Deano, Alfredo |
| نوع الوثيقة: | Electronic Resource |
| مستخلص: | We study n x n Hankel determinants constructed with moments of a Hermite weight with a Fisher-Hartwig singularity on the real line. We consider the case when the singularity is in the bulk and is both of root-type and jump-type. We obtain large n asymptotics for these Hankel determinants, and we observe a critical transition when the size of the jumps varies with n. These determinants arise in the thinning of the generalised Gaussian unitary ensembles and in the construction of special function solutions of the Painleve IV equation. QC 20180404 |
| مصطلحات الفهرس: | asymptotic analysis, Riemann-Hilbert problems, Hankel determinants, random matrix theory, Painleve equations, Mathematics, Matematik, Article in journal, info:eu-repo/semantics/article, text |
| DOI: | 10.3842.SIGMA.2018.018 |
| URL: | SIGMA. Symmetry, Integrability and Geometry, 1815-0659, 2018, 14 |
| الإتاحة: | Open access content. Open access content info:eu-repo/semantics/restrictedAccess |
| ملاحظة: | English |
| أرقام أخرى: | UPE oai:DiVA.org:kth-225227 doi:10.3842/SIGMA.2018.018 ISI:000427079500001 Scopus 2-s2.0-85045049285 1234923022 |
| المصدر المساهم: | UPPSALA UNIV LIBR From OAIster®, provided by the OCLC Cooperative. |
| رقم الأكسشن: | edsoai.on1234923022 |
| قاعدة البيانات: | OAIster |
| DOI: | 10.3842.SIGMA.2018.018 |
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