Scaling Limits of Planar Symplectic Ensembles

We consider various asymptotic scaling limits 𝑁 → ∞ for the 2𝑁 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 k...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2022
Main Authors: Akemann, Gernot, Byun, Sung-Soo, Kang, Nam-Gyu
Format: Article
Language:English
Published: Інститут математики НАН України 2022
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211538
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Scaling Limits of Planar Symplectic Ensembles. Gernot Akemann, Sung-Soo Byun and Nam-Gyu Kang. SIGMA 18 (2022), 007, 40 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine