Cover Image

Gap Probability Distribution of Gaussian Unitary Ensembles and Painlevé V Equation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Zhang, Shengjie, Lyu, Shulin
Format:	Preprint
Published:	2024
Subjects:	Mathematical Physics 15B52, 33C45, 34M55, 47B35
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Gaussian Unitary Ensembles with Jump Discontinuities, PDEs and the Coupled Painlevé IV System
by: Chen, Yang, et al.
Published: (2023)

Asymptotics of Polynomials Orthogonal With Respect to a Generalized Freud Weight With Application to Special Function Solutions of Painlevé-IV
by: Barhoumi, Ahmad
Published: (2023)

Hankel Determinants for a Deformed Laguerre Weight with Multiple Variables and Generalized Painlevé V Equation
by: Mu, Xinyu, et al.
Published: (2024)

Hankel Determinant for a Perturbed Laguerre Weight with Pole Singularities and Generalized Painlevé III' Equation
by: Lyu, Shulin, et al.
Published: (2026)

A New Proof of the Abstract Random Tensor Estimate by Deng, Nahmod, and Yue
by: Kaneshiro, Claire
Published: (2025)

Asymptotic Expansions of the Limit Laws of Gaussian and Laguerre (Wishart) Ensembles at the Soft Edge
by: Bornemann, Folkmar
Published: (2024)

The Cauchy problem for the Degasperis-Procesi Equation: Painlevé Asymptotics in Transition Zones
by: Wang, Zhaoyu, et al.
Published: (2024)

Center of mass distribution of the Jacobi unitary ensembles: Painleve V, asymptotic expansions
by: Zhan, Longjun, et al.
Published: (2018)

On the existence of Nehari ground states for the Nonlinear Schrödinger Equation on Discrete Graphs
by: Akduman, Setenay, et al.
Published: (2025)

Unitary transform diagonalizing the Confluent Hypergeometric kernel
by: Gorbunov, Sergei M.
Published: (2025)

Painlevé IV, bi-confluent Heun equations and the Hankel determinant generated by a discontinuous semi-classical Laguerre weight
by: Zhu, Mengkun, et al.
Published: (2026)

A Fast Direct Solver for Boundary Integral Equations Using Quadrature By Expansion
by: Fikl, Alexandru, et al.
Published: (2025)

On Airy solutions of P$_\mathrm{II}$ and the complex cubic ensemble of random matrices, II
by: Barhoumi, Ahmad, et al.
Published: (2024)

A Note on Optimal Soft Edge Expansions for the Gaussian $β$ Ensembles
by: Forrester, Peter J., et al.
Published: (2025)

Large time and distance asymptotics of the one-dimensional impenetrable Bose gas and Painlevé IV transition
by: Meng, Zhi-Xuan, et al.
Published: (2025)

Non-existence of solutions for a non-Gaussian equation in fractional time with Osgood type nonlinearity
by: Solís, Soveny, et al.
Published: (2024)

On the Meixner-Pollaczek polynomials and the Sturm-Liouville problems
by: Ismail, Mourad E. H., et al.
Published: (2025)

Orthogonal Polynomials for the Gaussian Weight with a Jump and Discrete Painlevé Equations
by: Dzhamay, Anton, et al.
Published: (2025)

Well-posedness of the three-dimensional NLS equation with sphere-concentrated nonlinearity
by: Finco, Domenico, et al.
Published: (2022)

Crystallization of discrete $N$-particle systems at high temperature
by: Cuenca, Cesar, et al.
Published: (2025)

Exceptional points and defective resonances in an acoustic scattering system with sound-hard obstacles
by: Matsushima, Kei, et al.
Published: (2025)

Abstract Left-Definite Theory: A Model Operator Approach, Examples, Fractional Sobolev Spaces, and Interpolation Theory
by: Fischbacher, Christoph, et al.
Published: (2024)

Asymptotic Expansions of Gaussian and Laguerre Ensembles at the Soft Edge II: Level Densities
by: Bornemann, Folkmar
Published: (2025)

Bidiagonal factorization of recurrence banded matrices in mixed multiple orthogonality
by: Branquinho, Amílcar, et al.
Published: (2024)

Geometric approach for the identification of Hamiltonian systems of quasi-Painlevé type
by: Dell'Atti, Marta, et al.
Published: (2024)

Unifying HJB and Riccati equations: A Koopman operator approach to nonlinear optimal control
by: Breiten, Tobias, et al.
Published: (2025)

Uvarov Perturbations for Multiple Orthogonal Polynomials of the Mixed Type on the Step-Line
by: Mañas, Manuel, et al.
Published: (2025)

Classical multiple orthogonal polynomials for arbitrary number of weights and their explicit representation
by: Branquinho, Amílcar, et al.
Published: (2024)

General Geronimus Perturbations for Mixed Multiple Orthogonal Polynomials
by: Mañas, Manuel, et al.
Published: (2024)

Banded totally positive matrices and normality for mixed multiple orthogonal polynomials
by: Branquinho, Amílcar, et al.
Published: (2024)

Trans-Series Asymptotics of Solutions to the Degenerate Painlevé III Equation: A Case Study
by: Vartanian, A.
Published: (2020)

Stationary reduction method based on nonisospectral deformation of orthogonal polynomials, and discrete Painlevé-type equations
by: Yue, Xiao-Lu, et al.
Published: (2024)

The Degenerate Third Painleve' Equation: Complete Asymptotic Classification of Solutions in the Neighbourhood of the Regular Singular Point
by: Kitaev, A. V., et al.
Published: (2025)

Exotic eigenvalues of shrinking metric graphs
by: Berkolaiko, Gregory, et al.
Published: (2023)

On $β=6$ Tracy-Widom distribution and the second Calogero-Painlevé system
by: Its, Alexander, et al.
Published: (2020)

Transient asymptotics of the modified Camassa-Holm equation
by: Xu, Taiyang, et al.
Published: (2023)

Painlevé Property and Generating Functions for Asymptotics
by: Kitaev, A. V.
Published: (2025)

Spaces of initial conditions for quartic Hamiltonian systems of Painlevé and quasi-Painlevé type
by: Dell'Atti, Marta, et al.
Published: (2024)

Perfect stationary solutions of reaction-diffusion equations on lattices and regular graphs
by: Švígler, Vladimír, et al.
Published: (2024)

Vector systems of Painlevé type
by: Adler, V. E., et al.
Published: (2025)