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This article is cited in 2 scientific papers (total in 2 papers)
Spherical Induced Ensembles with Symplectic Symmetry
Sung-Soo Byuna, Peter J. Forresterb a Center for Mathematical Challenges, Korea Institute for Advanced Study,
Seoul 02455, Republic of Korea
b School of Mathematical and Statistics, The University of Melbourne, Victoria 3010, Australia
Abstract:
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 regimes as well as at the origin having spectral singularity. A key ingredient of our proof is a derivation of a differential equation satisfied by the correlation kernels of the associated Pfaffian point processes, thereby allowing us to perform asymptotic analysis.
Keywords:
symplectic random matrix, spherical induced ensembles, Pfaffian point process.
Received: September 22, 2022; in final form May 16, 2023; Published online May 30, 2023
Citation:
Sung-Soo Byun, Peter J. Forrester, “Spherical Induced Ensembles with Symplectic Symmetry”, SIGMA, 19 (2023), 033, 28 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1928 https://www.mathnet.ru/eng/sigma/v19/p33
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Abstract page: | 58 | Full-text PDF : | 14 | References: | 12 |
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