On Wright's generalized Bessel kernel
From MaRDI portal
Publication:1686772
DOI10.1016/j.physd.2016.09.005zbMath1376.33008arXiv1608.02867OpenAlexW2521827441MaRDI QIDQ1686772
Publication date: 15 December 2017
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.02867
Fredholm determinantintegrable representationgap probabilityMuttalib-Borodin ensemblescoupled nonlinear differential equationsWright's generalized Bessel kernel
Related Items
Asymptotics of Muttalib-Borodin determinants with Fisher-Hartwig singularities, Global rigidity and exponential moments for soft and hard edge point processes, Gap Probability at the Hard Edge for Random Matrix Ensembles with Pole Singularities in the Potential, Integrable structure of products of finite complex Ginibre random matrices, Higher order large gap asymptotics at the hard edge for Muttalib-Borodin ensembles, The local universality of Muttalib–Borodin biorthogonal ensembles with parameter $\theta = \frac{1}{2}$, Gap probability for products of random matrices in the critical regime, The local universality of Muttalib–Borodin ensembles when the parameter θ is the reciprocal of an integer, A vector Riemann-Hilbert approach to the Muttalib-Borodin ensembles
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Singular values of products of Ginibre random matrices, multiple orthogonal polynomials and hard edge scaling limits
- A vector equilibrium problem for Muttalib-Borodin biorthogonal ensembles
- Local universality in biorthogonal Laguerre ensembles
- Logarithmic potential theory and large deviation
- Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent
- A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics
- Level-spacing distributions and the Airy kernel
- Level spacing distributions and the Bessel kernel
- Fredholm determinants, differential equations and matrix models
- Wright functions as scale-invariant solutions of the diffusion-wave equation
- Biorthogonal ensembles
- Triangular random matrices and biorthogonal ensembles
- The spectrum edge of random matrix ensembles.
- Raney distributions and random matrix theory
- Large deviations for biorthogonal ensembles and variational formulation for the Dykema-Haagerup distribution
- Muttalib-Borodin ensembles in random matrix theory -- realisations and correlation functions
- Cauchy-Laguerre two-matrix model and the Meijer-\(G\) random point field
- The special functions and their approximations. Vol. I, II
- Differential equations for singular values of products of Ginibre random matrices
- Biorthogonal ensembles with two-particle interactions
- Singular values of products of random matrices and polynomial ensembles
- Equilibrium problems for Raney densities
- Singular Values of Products of Ginibre Random Matrices
- Energy correlations for a random matrix model of disordered bosons
- On the numerical evaluation of Fredholm determinants
- An Introduction to Random Matrices
- Large deviations for disordered bosons and multiple orthogonal polynomial ensembles
- DIFFERENTIAL EQUATIONS FOR QUANTUM CORRELATION FUNCTIONS
- Some properties of biorthogonal polynomials
