Power spectra of Dyson's circular ensembles
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Publication:6669500
DOI10.1016/j.physd.2024.134435MaRDI QIDQ6669500
Nicholas S. Witte, Peter J. Forrester
Publication date: 22 January 2025
Published in: Physica D (Search for Journal in Brave)
Random matrices (probabilistic aspects) (60B20) Determinants, permanents, traces, other special matrix functions (15A15) Random matrices (algebraic aspects) (15B52) Painlevé-type functions (33E17)
Cites Work
- Unnamed Item
- Unnamed Item
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- Singular values and evenness symmetry in random matrix theory
- Toeplitz determinants with merging singularities
- Gaussian fluctuations of eigenvalues in Wigner random matrices
- Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent
- Riemann-Hilbert approach to a generalised sine kernel and applications
- Loop equation analysis of the circular \(\beta\) ensembles
- The asymptotics of monotone subsequences of involutions
- Differential identities for the structure function of some random matrix ensembles
- Fluctuation and entropy in spectrally constrained random fields
- Power spectrum of the circular unitary ensemble
- Nonperturbative theory of power spectrum in complex systems
- Power spectrum and form factor in random diagonal matrices and integrable billiards
- A review of exact results for fluctuation formulas in random matrix theory
- Interrelationships between orthogonal, unitary and symplectic matrix ensembles
- Determinantal random point fields
- Application of uniform asymptotica method to the asymptotics of the solutions of the fifth paonlevé equation when δ=0
- THE METHOD OF ISOMONODROMY DEFORMATIONS AND THE ASYMPTOTICS OF SOLUTIONS OF THE “COMPLETE” THIRD PAINLEVÉ EQUATION
- Statistical Theory of the Energy Levels of Complex Systems. I
- Gaussian Fluctuations for Ensembles
- On the numerical evaluation of Fredholm determinants
- Sur la loi limite de l'espacement des valeurs propres d'une matrice ale´atoire
- On the Distribution of Spacings Between Zeros of the Zeta Function
- Application of theτ-function theory of Painlevé equations to random matrices:PVI, the JUE, CyUE, cJUE and scaled limits
- Applications and generalizations of Fisher–Hartwig asymptotics
- Tracy–Widom method for Jánossy density and joint distribution of extremal eigenvalues of random matrices
- Asymptotics for Averages over Classical Orthogonal Ensembles
- Meet Andréief, Bordeaux 1886, and Andreev, Kharkov 1882–1883
- On the Numerical Evaluation of Distributions in Random Matrix Theory: A Review
- Finite Size Effects for Spacing Distributions in Random Matrix Theory: Circular Ensembles and Riemann Zeros
- Statistical Theory of the Energy Levels of Complex Systems. V
- Discrete Painlevé equations for a class of PVIτ-functions given asU(N)averages
- Quantum signatures of chaos
- Expanding the Fourier transform of the scaled circular Jacobi \(\beta\) ensemble density
- The dissipative spectral form factor for I.I.D. matrices
- On the spectral form factor for random matrices
- The Berry-Esseen theorem for circular \(\beta\)-ensemble
- Dip-ramp-plateau for Dyson Brownian motion from the identity on \(U(N)\)
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