Dip-ramp-plateau for Dyson Brownian motion from the identity on \(U(N)\)
DOI10.2140/pmp.2024.5.321zbMATH Open1542.60008MaRDI QIDQ6561350
Peter J. Forrester, Shi-Hao Li, Mario Kieburg, Jiyuan Zhang
Publication date: 25 June 2024
Published in: Probability and Mathematical Physics (Search for Journal in Brave)
hypergeometric polynomialsDyson Brownian motionspectral form factorcyclic Pólya ensemblesJacobi polynomial asymptotics
Random matrices (probabilistic aspects) (60B20) Black holes (83C57) Brownian motion (60J65) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Many-body theory; quantum Hall effect (81V70) Random matrices (algebraic aspects) (15B52) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonintersecting Brownian motions on the unit circle
- Large complex correlated Wishart matrices: the Pearcey kernel and expansion at the hard edge
- Linear statistics of the circular \(\beta\)-ensemble, Stein's method, and circular Dyson Brownian motion
- Torus knot polynomials and Susy Wilson loops
- Central limit theorem for the heat kernel measure on the unitary group
- A finitization of the bead process
- Black holes and random matrices
- Moments of discrete orthogonal polynomial ensembles
- Multilevel Dyson Brownian motions via Jack polynomials
- Combinatorial properties of Brownian motion on the compact classical groups
- A course of modern analysis. An introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions. 4th ed.
- Some properties of large-\(N\) two-dimensional Yang-Mills theory.
- Biorthogonal ensembles
- Spectral distribution of the free Jacobi process, revisited
- Chaos, complexity, and random matrices
- Fixed energy universality of Dyson Brownian motion
- Spectral form factor and semi-circle law in the time direction
- Spectral form factor for time-dependent matrix model
- Differential identities for the structure function of some random matrix ensembles
- Harmonic analysis for rank-1 randomised Horn problems
- \(q\)-Pearson pair and moments in \(q\)-deformed ensembles
- On the asymptotic behavior of Jacobi polynomials with first varying parameter
- Cusp universality for random matrices. I: Local law and the complex Hermitian case
- Quantifying dip-ramp-plateau for the Laguerre unitary ensemble structure function
- Rigidity and a mesoscopic central limit theorem for Dyson Brownian motion for general \(\beta\) and potentials
- Moments of random matrices and hypergeometric orthogonal polynomials
- Intertwinings for general \(\beta\)-Laguerre and \(\beta\)-Jacobi processes
- Heat kernel empirical laws on \({\mathrm {U}}_N\) and \({\mathrm {GL}}_N\)
- Muttalib-Borodin ensembles in random matrix theory -- realisations and correlation functions
- Schur-Weyl duality and the heat kernel measure on the unitary group
- Product of random projections, Jacobi ensembles and universality problems arising from free probability
- On Brownian motion in a homogeneous Riemannian space
- Spectral decoupling in many-body quantum chaos
- A review of exact results for fluctuation formulas in random matrix theory
- Hydrodynamical spectral evolution for random matrices
- Moments of the Gaussian β ensembles and the large-N expansion of the densities
- Semi-Groups of Measures on Lie Groups
- Asymptotic Representations of Fourier Integrals and the Method of Stationary Phase
- On Asymptotics of Jacobi Polynomials
- Bessel Processes, Schramm–Loewner Evolution, and the Dyson Model
- Exact solution of the lock step model of vicious walkers
- Brownian motion on Lie groups and open quantum systems
- A Brownian-Motion Model for the Eigenvalues of a Random Matrix
- Eigenvalue correlations in the circular ensembles
- Semiclassical theory of spectral rigidity
- Harmonic analysis with respect to heat kernel measure
- Brownian particles with electrostatic repulsion on the circle: Dyson's model for unitary random matrices revisited
- β-Jacobi processes
- Moments of generalized Cauchy random matrices and continuous-Hahn polynomials
- Relations between moments for the Jacobi and Cauchy random matrix ensembles
- High–low temperature dualities for the classical β-ensembles
- Meet Andréief, Bordeaux 1886, and Andreev, Kharkov 1882–1883
- A Dynamical Approach to Random Matrix Theory
- Brownian motions in a Lie group
- Global and local scaling limits for the β = 2 Stieltjes–Wigert random matrix ensemble
- Local law and rigidity for unitary Brownian motion
- Universal cutoff for Dyson Ornstein Uhlenbeck process
- Cyclic Pólya ensembles on the unitary matrices and their spectral statistics
- On the spectral form factor for random matrices
Related Items (1)
This page was built for publication: Dip-ramp-plateau for Dyson Brownian motion from the identity on \(U(N)\)