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- W4310631851 abstract "We show that the distribution of bulk spacings between pairs of adjacent eigenvalue real parts of a random matrix drawn from the complex elliptic Ginibre ensemble is asymptotically given by a generalization of the Gaudin-Mehta distribution, in the limit of weak non-Hermiticity. The same generalization is expressed in terms of an integro-differential Painlev'e function and it is shown that the generalized Gaudin-Mehta distribution describes the crossover, with increasing degree of non-Hermiticity, from Gaudin-Mehta nearest-neighbor bulk statistics in the Gaussian Unitary Ensemble to Poisson gap statistics for eigenvalue real parts in the bulk of the Complex Ginibre Ensemble." @default.
- W4310631851 created "2022-12-13" @default.
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- W4310631851 date "2022-12-01" @default.
- W4310631851 modified "2023-10-16" @default.
- W4310631851 title "The complex elliptic Ginibre ensemble at weak non-Hermiticity: bulk spacing distributions" @default.
- W4310631851 doi "https://doi.org/10.48550/arxiv.2212.00525" @default.
- W4310631851 hasPublicationYear "2022" @default.
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