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Real Eigenvalues of Elliptic Random Matrices

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Publication:5878703
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DOI10.1093/imrn/rnab310OpenAlexW3213972365MaRDI QIDQ5878703

Nam-Gyu Kang, Sung-Soo Byun, Jinyeop Lee, Ji Oon Lee

Publication date: 22 February 2023

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.11110


zbMATH Keywords

Gaussian orthogonal ensemblereal eigenvalueelliptic random matrixGinibre matrix


Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)


Related Items (4)

Wronskian structures of planar symplectic ensembles ⋮ Disk counting statistics near hard edges of random normal matrices: the multi-component regime ⋮ Universality in the number variance and counting statistics of the real and symplectic Ginibre ensemble ⋮ The product of \(m\) real \(N \times N\) Ginibre matrices: real eigenvalues in the critical regime \(m = O(N)\)




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