Harold Widom’s work in random matrix theory
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Publication:5067415
DOI10.1090/bull/1757zbMath1486.60011arXiv2201.05665OpenAlexW4213184372MaRDI QIDQ5067415
Alexander R. Its, Ivan Corwin, Percy A. Deift
Publication date: 1 April 2022
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.05665
Random matrices (probabilistic aspects) (60B20) Interacting particle systems in time-dependent statistical mechanics (82C22) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)
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- Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz
- Erratum to: ``Integral formulas for the asymmetric simple exclusion process
- On ASEP with step Bernoulli initial condition
- Dyson's constant in the asymptotics of the Fredholm determinant of the sine kernel
- The one-dimensional KPZ equation and its universality class
- Asymptotics of Tracy-Widom distributions and the total integral of a Painlevé II function
- A Fredholm determinant representation in ASEP
- Asymptotics of the Airy-kernel determinant
- Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent
- The chebop system for automatic solution of differential equations
- Asymptotics in ASEP with step initial condition
- A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics
- A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation
- Quantum field theory techniques in graphical enumeration
- Interaction of Markov processes
- Fredholm determinants and inverse scattering problems
- A variational problem for random Young tableaux
- New results on the equilibrium measure for logarithmic potentials in the presence of an external field
- Exact solution of the master equation for the asymmetric exclusion process
- Level-spacing distributions and the Airy kernel
- Fredholm determinants, differential equations and matrix models
- The asymptotics of a continuous analogue of orthogonal polynomials
- Deformation analysis of matrix models
- Universality at the edge of the spectrum in Wigner random matrices.
- A Fredholm determinant formula for Toeplitz determinants
- On a Toeplitz determinant identity of Borodin and Okounkov
- Higher spin six vertex model and symmetric rational functions
- Current distribution and random matrix ensembles for an integrable asymmetric fragmentation process
- Correlation functions, cluster functions, and spacing distributions for random matrices
- On the relation between orthogonal, symplectic and unitary matrix ensembles
- The asymptotics of monotone subsequences of involutions
- Asymptotics for the Fredholm determinant of the sine kernel on a union of intervals
- On orthogonal and symplectic matrix ensembles
- The spectrum edge of random matrix ensembles.
- Shape fluctuations and random matrices
- On fluctuations of eigenvalues of random Hermitian matrices.
- Integrable probability: from representation theory to MacDonald processes
- Asymptotics of the partition function of a random matrix model.
- Observables of coloured stochastic vertex models and their polymer limits
- THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
- Universality of Wigner random matrices: a survey of recent results
- Whittaker functions and related stochastic processes
- Asymptotic behavior of spacing distributions for the eigenvalues of random matrices
- Statistical Theory of the Energy Levels of Complex Systems. I
- Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices
- Two Ways to Solve ASEP
- Scattering theory and polynomials orthogonal on the unit circle
- On the distribution of the length of the longest increasing subsequence of random permutations
- Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem
- Commentary on “Longest increasing subsequences: from patience sorting to the Baik–Deift–Johansson theorem” by David Aldous and Persi Diaconis
- Lectures on integrable probability
- Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
- Current fluctuations for the totally asymmetric simple exclusion process
- Harold Widom’s work in Toeplitz operators
- Toeplitz Determinants with Singular Generating Functions
- Macdonald processes, quantum integrable systems and the Kardar-Parisi-Zhang universality class
- Universality in Random Matrix Theory for orthogonal and symplectic ensembles
- DIFFERENTIAL EQUATIONS FOR QUANTUM CORRELATION FUNCTIONS
- Limit theorems for height fluctuations in a class of discrete space and time growth models
