Scaling Limits of Planar Symplectic Ensembles

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2022
• ISSN: 1815-0659
• Hauptverfasser: Akemann, Gernot, Byun, Sung-Soo, Kang, Nam-Gyu
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2022
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211538
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...