Scaling Limits of Planar Symplectic Ensembles

• Опубліковано в: Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2022
• ISSN: 1815-0659
• Автори: Akemann, Gernot, Byun, Sung-Soo, Kang, Nam-Gyu
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2022
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/211538
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Scaling Limits of Planar Symplectic Ensembles. Gernot Akemann, Sung-Soo Byun and Nam-Gyu Kang. SIGMA 18 (2022), 007, 40 pages

We consider various asymptotic scaling limits → ∞ for the 2 complex eigenvalues of non-Hermitian random matrices in the symmetry class of the symplectic Ginibre ensemble. These are known to be integrable, forming Pfaffian point processes, and we obtain limiting expressions for the corresponding ker...