Computing the Tracy-Widom distribution for arbitrary \(\beta>0\)
arXiv2304.04951MaRDI QIDQ6192138
Publication date: 12 February 2024
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.04951
Gaussian processes (60G15) Random matrices (probabilistic aspects) (60B20) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Other physical applications of random processes (60K40) Random operators and equations (aspects of stochastic analysis) (60H25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Random matrices (algebraic aspects) (15B52) PDEs with randomness, stochastic partial differential equations (35R60) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Painlevé representation of Tracy-Widom\(_\beta\) distribution for \(\beta=6\)
- On the Tracy-Widom\(_\beta\) distribution for \(\beta=6\)
- Limits of spiked random matrices. I
- The right tail exponent of the Tracy-Widom \(\beta\) distribution
- The automatic solution of partial differential equations using a global spectral method
- Continuum limits of random matrices and the Brownian carousel
- Level-spacing distributions and the Airy kernel
- On orthogonal and symplectic matrix ensembles
- Tracy-Widom distributions for the Gaussian orthogonal and symplectic ensembles revisited: a skew-orthogonal polynomials approach
- From random matrices to stochastic operators
- RIGHT TAIL ASYMPTOTIC EXPANSION OF TRACY–WIDOM BETA LAWS
- Beta ensembles, stochastic Airy spectrum, and a diffusion
- A simple derivation of the Tracy–Widom distribution of the maximal eigenvalue of a Gaussian unitary random matrix
- On the numerical evaluation of Fredholm determinants
- Matrix models for beta ensembles
- On the Numerical Evaluation of Distributions in Random Matrix Theory: A Review
This page was built for publication: Computing the Tracy-Widom distribution for arbitrary \(\beta>0\)