Tracy-Widom distributions in critical unitary random matrix ensembles and the coupled Painlevé II system (Q1720192)

scientific article

Language	Label	Description	Also known as
English	Tracy-Widom distributions in critical unitary random matrix ensembles and the coupled Painlevé II system	scientific article

Statements

instance of

scholarly article

0 references

title

Tracy-Widom distributions in critical unitary random matrix ensembles and the coupled Painlevé II system (English)

0 references

0 references

0 references

Communications in Mathematical Physics

0 references

publication date

12 February 2019

0 references

full work available at URL

https://arxiv.org/abs/1708.06113

0 references

zbMATH Keywords

Tracy-Widom distributions

0 references

unitary random matrix

0 references

coupled Painlevé II system

0 references

MaRDI profile type

Publication

0 references

cites work

Random Matrix Ensembles with Singularities and a Hierarchy of Painlevé III Equations

0 references

On the distribution of the length of the longest increasing subsequence of random permutations

0 references

Mesoscopic fluctuations for the thinned circular unitary ensemble

0 references

Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model

0 references

Double scaling limit in the random matrix model: The Riemann-Hilbert approach

0 references

Hankel determinant and orthogonal polynomials for a Gaussian weight with a discontinuity at the edge

0 references

Finite Size Effects for Spacing Distributions in Random Matrix Theory: Circular Ensembles and Riemann Zeros

0 references

Large deformations of the Tracy-Widom distribution. I: Non-oscillatory asymptotics

0 references

On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential. I

0 references

Asymptotics of a Fredholm determinant corresponding to the first bulk critical universality class in random matrix models

0 references

On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo-Miwa-Ueno differential

0 references

Thinning and conditioning of the circular unitary ensemble

0 references

Painlevé IV and degenerate Gaussian unitary ensembles

0 references

The Generating Function for the Airy Point Process and a System of Coupled Painlevé II Equations

0 references

Higher-order analogues of the Tracy-Widom distribution and the Painlevé II hierarchy

0 references

Emergence of a singularity for Toeplitz determinants and Painlevé V

0 references

Universality of the double scaling limit in random matrix models

0 references

Q3517532

0 references

Multi-critical unitary random matrix ensembles and the general Painlevé II equation

0 references

Painlevé IV Asymptotics for Orthogonal Polynomials with Respect to a Modified Laguerre Weight

0 references

Gap Probability at the Hard Edge for Random Matrix Ensembles with Pole Singularities in the Potential

0 references

Orthogonal polynomials and random matrices: a Riemann-Hilbert approach.

0 references

Asymptotics of the Airy-kernel determinant

0 references

Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities

0 references

A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics

0 references

New results on the equilibrium measure for logarithmic potentials in the presence of an external field

0 references

Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory

0 references

Q4487945

0 references

A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation

0 references

Q5394330

0 references

On the solvability of Painleve I, III and V

0 references

On the solvability of Painlevé II and IV

0 references

Q3574974

0 references

Application of the \(\tau\)-function theory of Painlevé equations to random matrices: PIV, PII and the GUE.

0 references

Painlevé II in random matrix theory and related fields

0 references

Coupled Painlevé systems and quartic potentials

0 references

DIFFERENTIAL EQUATIONS FOR QUANTUM CORRELATION FUNCTIONS

0 references

Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump

0 references

Critical Edge Behavior in Unitary Random Matrix Ensembles and the Thirty-Fourth Painlevé Transcendent

0 references

Asymptotics for a special solution of the thirty fourth Painlevé equation

0 references

Monodromy dependence and connection formulae for isomonodromic tau functions

0 references

Connection Problem for the Sine-Gordon/Painlevé III Tau Function and Irregular Conformal Blocks: Fig. 1.

0 references

Connection Problem for the Tau-Function of the Sine-Gordon Reduction of Painlevé-III Equation via the Riemann-Hilbert Approach

0 references

Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function

0 references

Shape fluctuations and random matrices

0 references

Four-Dimensional Painlevé-Type Equations Associated with Ramified Linear Equations I: Matrix Painlevé Systems

0 references

Four-dimensional Painlevé-type equations associated with ramified linear equations II: Sasano systems

0 references

Four-dimensional Painlevé-type equations associated with ramified linear equations. III: Garnier systems and Fuji-Suzuki systems

0 references

4-dimensional Painlevé-type equations

0 references

The Riemann--Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]

0 references

Q4681935

0 references

Q4824246

0 references

Q3579593

0 references

Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles

0 references

Coupled Painlevé II systems in dimension four and the systems of type \(A^{(1)}_4\)

0 references

The phase space of coupled Painlevé III system in dimension four

0 references

Symmetry in the Painleve Systems and Their Extensions to Four-Dimensional Systems

0 references

Level-spacing distributions and the Airy kernel

0 references

Gaussian Unitary Ensemble with Boundary Spectrum Singularity and σ‐Form of the Painlevé II Equation

0 references

Critical edge behavior and the Bessel to Airy transition in the singularly perturbed Laguerre unitary ensemble

0 references

Painlevé XXXIV Asymptotics of Orthogonal Polynomials for the Gaussian Weight with a Jump at the Edge

0 references

Critical edge behavior in the modified Jacobi ensemble and Painlevé equations

0 references

The Riemann–Hilbert Problem and Inverse Scattering

0 references

describes a project that uses

Digital Library of Mathematical Functions

0 references

Identifiers

zbMATH Open document ID

1464.60009

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

10.1007/S00220-018-3257-Y

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:1720192