Spherical Induced Ensembles with Symplectic Symmetry

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Authors: Byun, Sung-Soo, Forrester, Peter J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211910
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Spherical Induced Ensembles with Symplectic Symmetry. Sung-Soo Byun and Peter J. Forrester. SIGMA 19 (2023), 033, 28 pages

We consider the complex eigenvalues of the induced spherical Ginibre ensemble with symplectic symmetry and establish the local universality of these point processes along the real axis. We derive scaling limits of all correlation functions at regular points, both in the strong and weak non-unitary r...