Bulk universality for complex eigenvalues of real non-symmetric random matrices with i.i.d. entries

التفاصيل البيبلوغرافية
العنوان: Bulk universality for complex eigenvalues of real non-symmetric random matrices with i.i.d. entries
المؤلفون: Dubova, Sofiia, Yang, Kevin
سنة النشر: 2024
المجموعة: Mathematics
Mathematical Physics
مصطلحات موضوعية: Mathematics - Probability, Mathematical Physics, 60B20, 15B52
الوصف: We consider an ensemble of non-Hermitian matrices with independent identically distributed real entries that have finite moments. We show that its $k$-point correlation function in the bulk away from the real line converges to a universal limit.
Comment: 67 pages, revised version, updated references
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2402.10197
رقم الأكسشن: edsarx.2402.10197
قاعدة البيانات: arXiv