DOI10.1155/S1073792803211089zbMath1140.82307arXivmath-ph/0211022OpenAlexW1765024896MaRDI QIDQ4800290
Nicholas M. Ercolani, Kenneth T.-R. McLaughlin
Publication date: 14 May 2003
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0211022
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Investigation of the two-cut phase region in the complex cubic ensemble of random matrices,
Relating random matrix map enumeration to a universal symbol calculus for recurrence operators in terms of Bessel–Appell polynomials,
Rank 1 real Wishart spiked model,
Random Hermitian matrices and Gaussian multiplicative chaos,
A convergent \({\frac{1}{N}}\) expansion for GUE,
The Riemann--Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1],
Lectures on Random Matrix Models,
Formal Matrix Integrals and Combinatorics of Maps,
Fractional Brownian motion with Hurst index \({H = 0}\) and the Gaussian unitary ensemble,
Asymptotic series for Bessel polynomials,
Harold Widom’s work in random matrix theory,
Asymptotics of unitary and orthogonal matrix integrals,
Moments of the Gaussian β ensembles and the large-N expansion of the densities,
Fluctuations of linear eigenvalue statistics of \(\beta \) matrix models in the multi-cut regime,
Exact solution of the six-vertex model with domain wall boundary conditions. Disordered phase,
Asymptotics of the partition function of a Laguerre-type random matrix model,
Berry-Esseen bounds and Cramér type large deviations for eigenvalues of random matrices,
Generating series for GUE correlators,
Asymptotic expansion of \(\beta \) matrix models in the one-cut regime,
Rational differential systems, loop equations, and application to the \(q\)th reductions of KP,
Rare events in random matrix theory,
Multi-instantons in minimal string theory and in matrix integrals,
Universality for multiplicative statistics of Hermitian random matrices and the integro-differential Painlevé II equation,
Phase diagram and topological expansion in the complex quartic random matrix model,
Central limit theorem for partial linear eigenvalue statistics of Wigner matrices,
Asymptotic expansion of matrix models in the multi-cut regime,
Analyticity of the planar limit of a matrix model,
Laguerre ensemble: correlators, Hurwitz numbers and Hodge integrals,
Asymptotic expansion of smooth functions in polynomials in deterministic matrices and iid GUE matrices,
Spectra of random Hermitian matrices with a small-rank external source: the supercritical and subcritical regimes,
Asymptotic expansions for polynomials orthogonal with respect to a complex non-constant weight function,
Orthogonal and symplectic matrix models: universality and other properties,
Rate of convergence to the semi-circle law for the deformed Gaussian unitary Ensemble,
Random matrices, graphical enumeration and the continuum limit of Toda lattices,
Spectra of random Hermitian matrices with a small-rank external source: the critical and near-critical regimes,
Rigorous solution of strongly coupled \(SO(N)\) lattice gauge theory in the large \(N\) limit,
The limiting characteristic polynomial of classical random matrix ensembles,
Second order asymptotics for matrix models,
Large deviations of radial statistics in the two-dimensional one-component plasma,
Asymptotics of recurrence relation coefficients, Hankel determinant ratios, and root products associated with Laurent polynomials orthogonal with respect to varying exponential weights,
On the proof of universality for orthogonal and symplectic ensembles in random matrix theory,
On connected diagrams and cumulants of Erdős-Rényi matrix models,
Loop equation analysis of the circular \(\beta\) ensembles,
Topological expansion in the complex cubic log-gas model: one-cut case,
Fine structure in the large \(n\) limit of the non-Hermitian Penner matrix model,
A Riemann-Hilbert problem for skew-orthogonal polynomials,
Painlevé III asymptotics of Hankel determinants for a singularly perturbed Laguerre weight,
An efficient method for computing genus expansions and counting numbers in the Hermitian matrix model,
First colonization of a hard-edge in random matrix theory,
The rate of convergence for spectra of GUE and LUE matrix ensembles,
Asymptotics of Hankel determinants with a Laguerre-type or Jacobi-type potential and Fisher-Hartwig singularities,
Fine asymptotic behavior for eigenvalues of random normal matrices: Ellipse case,
Solution of string equations for asymmetric potentials,
Jacobi ensemble, Hurwitz numbers and Wilson polynomials,
Phase transitions and equilibrium measures in random matrix models,
Asymptotics for the partition function in two-cut random matrix models,
Painlevé I double scaling limit in the cubic random matrix model,
Gaussian fluctuations of eigenvalues in log-gas ensemble: bulk case. I,
The enumeration of planar graphs via Wick's theorem,
Optimal delocalization for generalized Wigner matrices,
Large-N expansion for the time-delay matrix of ballistic chaotic cavities,
The asymptotic behaviour of recurrence coefficients for orthogonal polynomials with varying exponential weights,
The multiplicative constant for the Meijer-G kernel determinant,
Universal distribution of random matrix eigenvalues near the ‘birth of a cut’ transition,
Moments of discrete orthogonal polynomial ensembles,
Combinatorics of dispersionless integrable systems and universality in random matrix theory,
Asymptotics of the partition function of a random matrix model.,
Analyticity results for the cumulants in a random matrix model,
Multiple scale asymptotics of map enumeration