Splitting of a gap in the bulk of the spectrum of random matrices
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Publication:2302615
DOI10.1215/00127094-2019-0036zbMath1448.60021arXiv1705.10587OpenAlexW3104903553MaRDI QIDQ2302615
I. V. Krasovsky, Benjamin Fahs
Publication date: 26 February 2020
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.10587
Random matrices (probabilistic aspects) (60B20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Random matrices (algebraic aspects) (15B52)
Related Items (3)
Universality for multiplicative statistics of Hermitian random matrices and the integro-differential Painlevé II equation ⋮ Sine‐kernel determinant on two large intervals ⋮ Probability of two large gaps in the bulk and at the edge of the spectrum of random matrices
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Cites Work
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- First colonization of a spectral outpost in random matrix theory
- The Widom--Dyson constant for the gap probability in random matrix theory
- A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics
- The isomonodromy approach to matrix models in 2D quantum gravity
- Fredholm determinants and inverse scattering problems
- The asymptotics of a continuous analogue of orthogonal polynomials
- The Riemann--Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]
- Asymptotics for the Fredholm determinant of the sine kernel on a union of intervals
- Dyson's constants in the asymptotics of the determinants of Wiener-Hopf-Hankel operators with the sine kernel
- Asymptotic behavior of spacing distributions for the eigenvalues of random matrices
- The Riemann-Hilbert Approach to Double Scaling Limit of Random Matrix Eigenvalues Near the "Birth of a Cut" Transition
- Birth of a Cut in Unitary Random Matrix Ensembles
- On the distribution of the length of the longest increasing subsequence of random permutations
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