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zbMath1217.82003MaRDI QIDQ3574974
Publication date: 5 July 2010
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Random matrices (probabilistic aspects) (60B20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02)
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statistics at the edge of Gaussian beta-ensembles at high temperature, Noninteracting fermions in a trap and random matrix theory, Free fermions andα-determinantal processes, Gap statistics close to the quantile of a random walk, Bures–Hall ensemble: spectral densities and average entropies, Evaluation of the $BC_n$ elliptic Selberg integral via the fundamental invariants, Graphs, local zeta functions, log-Coulomb gases, and phase transitions at finite temperature, Phase diagram of bipartite entanglement, Duality in a hyperbolic interaction model integrable even in a strong confinement: multi-soliton solutions and field theory, Proof of Sarkar–Kumar’s conjectures on average entanglement entropies over the Bures–Hall ensemble, Families of two-dimensional Coulomb gases on an ellipse: correlation functions and universality, Skewness of von Neumann entanglement entropy, Universal eigenvector correlations in quaternionic Ginibre ensembles, Wronskian structures of planar symplectic ensembles, Schwinger–Dyson and loop equations for a product of square Ginibre random matrices, On a gateway between the Laguerre process and dynamics on partitions, Gaussian fluctuations for products of random matrices, Edge fluctuations and third-order phase transition in harmonically confined long-range systems, Rate of convergence at the hard edge for various Pólya ensembles of positive definite matrices, Asymptotic Analysis of a Matrix Latent Decomposition Model, Non-Archimedean electrostatics, Partial isometries, duality, and determinantal point processes, Gap probability and full counting statistics in the one-dimensional one-component plasma, Moments of the eigenvalue densities and of the secular coefficients ofβ-ensembles, Convex set of quantum states with positive partial transpose analysed by hit and run algorithm, Painlevé V, Painlevé XXXIV and the degenerate Laguerre unitary ensemble, The reciprocal Mahler ensembles of random polynomials, Orthogonal and symplectic Harish-Chandra integrals and matrix product ensembles, On the distribution of an arbitrary subset of the eigenvalues for some finite dimensional random matrices, Regularity of the minimiser of one-dimensional interaction energies, Macroscopic and edge behavior of a planar jellium, On Poincaré and Logarithmic Sobolev Inequalities for a Class of Singular Gibbs Measures, Smallest eigenvalue density for regular or fixed-trace complex Wishart–Laguerre ensemble and entanglement in coupled kicked tops, Point-to-line polymers and orthogonal Whittaker functions, Phase transition in complex-time Loschmidt echo of short and long range spin chain, Conformal welding problem, flow line problem, and multiple Schramm–Loewner evolution, The conjugate gradient algorithm on well-conditioned Wishart matrices is almost deterministic, Multidimensional Yamada-Watanabe theorem and its applications to particle systems, Gaussian Approximation of the Distribution of Strongly Repelling Particles on the Unit Circle, Symmetric function theory and unitary invariant ensembles, The beta-Wishart ensemble, Dyson’s disordered linear chain from a random matrix theory viewpoint, The Golden-Thompson inequality: Historical aspects and random matrix applications, NEXT ORDER ASYMPTOTICS AND RENORMALIZED ENERGY FOR RIESZ INTERACTIONS, Rectangular Young tableaux and the Jacobi ensemble, Densities of the extreme eigenvalues of Beta–MANOVA matrices, On properties of a deformed Freud weight, Meet Andréief, Bordeaux 1886, and Andreev, Kharkov 1882–1883, Spectral statistics of non-Hermitian random matrix ensembles, Classical discrete symplectic ensembles on the linear and exponential lattice: skew orthogonal polynomials and correlation functions, Statistical mechanics of interpolation nodes, pluripotential theory and complex geometry, Geometric ergodicity of Langevin dynamics with Coulomb interactions, Eigenvalues of large chiral non-Hermitian random matrices, A review of conjectured laws of total mass of Bacry–Muzy GMC measures on the interval and circle and their applications, Orthogonality of super‐Jack polynomials and a Hilbert space interpretation of deformed Calogero–Moser–Sutherland operators, The boundary of the orbital beta process, Classical integrability for beta-ensembles and general Fokker-Planck equations, Tridiagonal realization of the antisymmetric Gaussian β-ensemble, Two-by-two random matrix theory with matrix representations of octonions, Unnamed Item, Exact quantum decay of an interacting many-particle system: the Calogero–Sutherland model, On universality of bulk local regime of the Hermitian sample covariance matrices, Emptiness formation probability and Painlevé V equation in the XY spin chain, Exact equivalences and phase discrepancies between random matrix ensembles, How Many Eigenvalues of a Product of Truncated Orthogonal Matrices are Real?, Edge effects in some perturbations of the Gaussian unitary ensemble, Fine asymptotics for models with Gamma type moments, The densities and distributions of the largest eigenvalue and the trace of a Beta–Wishart matrix, Harmonically confined long-ranged interacting gas in the presence of a hard wall, Applications in random matrix theory of a PIII′ τ-function sequence from Okamoto’s Hamiltonian formulation, Moderate deviations for linear eigenvalue statistics of β-ensembles, Global and local scaling limits for the β = 2 Stieltjes–Wigert random matrix ensemble, Stability of large complex systems with heterogeneous relaxation dynamics, Concentration of the complexity of spherical pure p-spin models at arbitrary energies, Generating random density matrices, Stochastic geometry and dynamics of infinitely many particle systems—random matrices and interacting Brownian motions in infinite dimensions, Generalized random matrix model with additional interactions, Distribution of the Wigner–Smith time-delay matrix for chaotic cavities with absorption and coupled Coulomb gases, Trace formulas for general Hermitian matrices: unitary scattering approach and periodic orbits on an associated graph, Dunkl jump processes: relaxation and a phase transition, Resurgent trans-series for generalized Hastings–McLeod solutions, Spectral statistics for the difference of two Wishart matrices, Central charge from adiabatic transport of cusp singularities in the quantum Hall effect, Dyson Processes on the Octonion Algebra, Asymptotic expansions relating to the distribution of the length of longest increasing subsequences, Multicritical Schur measures and higher-order analogues of the Tracy-Widom distribution, Stochastic differential equations for Infinite particle systems of jump type with long range interactions, Local laws and a mesoscopic CLT for β‐ensembles, An exact formula for the variance of linear statistics in the one-dimensional jellium model, The Dunkl-Laplace transform and Macdonald’s hypergeometric series, Coulomb and Riesz gases: The known and the unknown, On the Cartan decomposition for classical random matrix ensembles, Investigation of the two-cut phase region in the complex cubic ensemble of random matrices, Asymptotics for a singularly perturbed GUE, Painlevé III, double-confluent Heun equations, and small eigenvalues, Hydrodynamic equations for the Ablowitz–Ladik discretization of the nonlinear Schrödinger equation, Hermitian and non-Hermitian perturbations of chiral Gaussian β-ensembles, Superposition of random plane waves in high spatial dimensions: Random matrix approach to landscape complexity, The elliptic Ginibre ensemble: A unifying approach to local and global statistics for higher dimensions, Unitary matrix integrals, symmetric polynomials, and long-range random walks, Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, circular \(\beta\)-ensemble and double confluent Heun equation, Lyapunov exponent, universality and phase transition for products of random matrices, A smooth transition towards a Tracy–Widom distribution for the largest eigenvalue of interacting k-body fermionic embedded Gaussian ensembles, Number-rigidity and \(\beta\)-circular Riesz gas, Gap probability for the hard edge Pearcey process, Entanglement capacity of fermionic Gaussian states, Arctic curves of the four-vertex model, Pfaffian Formula for Fermion Parity Fluctuations in a Superconductor and Application to Majorana Fusion Detection, Limit theorems and large deviations for \(\beta\)-Jacobi ensembles at scaling temperatures, A Riemann-Hilbert approach to Fredholm determinants of Hankel composition operators: scalar-valued kernels, Unified limits and large deviation principles for \(\beta\)-Laguerre ensembles in global regime, The oriented swap process and last passage percolation, Limit theorems for moment processes of beta Dyson’s Brownian motions and beta Laguerre processes, Precise deviations for discrete ensembles, Dyson diffusion on a curved contour, Entropy fluctuation formulas of fermionic Gaussian states, Expanding the Fourier transform of the scaled circular Jacobi \(\beta\) ensemble density, Critical edge behavior in the singularly perturbed Pollaczek–Jacobi type unitary ensemble, On the almost‐circular symplectic induced Ginibre ensemble, Modulated bi-orthogonal polynomials on the unit circle: the \(2j-k\) and \(j-2k\) systems, Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials, Large deviations for top eigenvalues of \(\beta\)-Jacobi ensembles at scaling temperatures, Gaussian fluctuations and free energy expansion for Coulomb gases at any temperature, The planar low temperature Coulomb gas: separation and equidistribution, Cyclic Pólya ensembles on the unitary matrices and their spectral statistics, Strong approximation of Gaussian \(\beta\) ensemble characteristic polynomials: the hyperbolic regime, The Bessel line ensemble, The Jacobi-type polynomials and general Heun equations, Spherical induced ensembles with symplectic symmetry, Stochastic analysis of infinite particle systems—A new development in classical stochastic analysis and dynamical universality of random matrices, Frame potential of Brownian SYK model of Majorana and Dirac fermions, KPZ limit theorems, Rare events in random matrix theory, Large deviations and phase transitions in spectral linear statistics of Gaussian random matrices, Semi-classical orthogonal polynomials associated with a modified Gaussian weight, Freezing limits for Calogero–Moser–Sutherland particle models, The spherical ensemble and quasi-Monte-Carlo designs, Law of large numbers for the maximum of the two-dimensional Coulomb gas potential, Gaussian multiplicative chaos for Gaussian orthogonal and symplectic ensembles, Log-Coulomb gases in the projective line of a \(p\)-field, Quantum interpolating ensemble: Bi-orthogonal polynomials and average entropies, Exact solution of interacting particle systems related to random matrices, Random Lindblad Operators Obeying Detailed Balance, New approach to KPZ models through free fermions at positive temperature, Hankel determinant and orthogonal polynomials for a perturbed Gaussian weight: From finite n to large n asymptotics, Painlevé IV, Chazy II, and asymptotics for recurrence coefficients of semi‐classical Laguerre polynomials and their Hankel determinants, Determinantal point processes conditioned on randomly incomplete configurations, Universality in the number variance and counting statistics of the real and symplectic Ginibre ensemble, Rank 1 perturbations in random matrix theory — A review of exact results, Connections between the extreme points for Vandermonde determinants and minimizing risk measure in financial mathematics, Almost-Hermitian random matrices and bandlimited point processes, Computable structural formulas for the distribution of the \(\beta\)-Jacobi edge eigenvalues, On the moments of characteristic polynomials, Universal scaling limits of the symplectic elliptic Ginibre ensemble, Characteristic polynomials of random truncations: Moments, duality and asymptotics, On the generating function of the Pearcey process, Partition functions of determinantal and Pfaffian Coulomb gases with radially symmetric potentials, Palm measures for Dirac operators and the \(\operatorname{Sine}_{\beta}\) process, Bounded Bessel processes and Ferrari-Spohn diffusions, The Berry-Esseen theorem for circular \(\beta\)-ensemble, Christoffel transformations for (partial-)skew-orthogonal polynomials and applications, From Berry-Esseen to super-exponential, Asymptotic expansion of matrix models in the multi-cut regime, Jacobi beta ensemble and \(b\)-Hurwitz numbers, Universal cusp scaling in random partitions, Random matrices associated to Young diagrams, Hankel transform, \(\mathcal{K}\)-Bessel functions and zeta distributions in the Dunkl setting, Unnamed Item, Introduction, Moments of traces of circular beta-ensembles, Relating the Bures measure to the Cauchy two-matrix model, From Boltzmann to random matrices and beyond, Recursion scheme for the largest $\beta$ -Wishart–Laguerre eigenvalue and Landauer conductance in quantum transport, Resurgent extrapolation: rebuilding a function from asymptotic data. Painlevé I, Resurgence, Painlevé equations and conformal blocks, Random Lindblad dynamics, Matrix Kesten recursion, inverse-Wishart ensemble and fermions in a Morse potential, Evaluations of certain Catalan-Hankel Pfaffians via classical skew orthogonal polynomials, The boundary density profile of a Coulomb droplet. Freezing at the edge, From Painlevé to Zakharov–Shabat and beyond: Fredholm determinants and integro-differential hierarchies, Quench dynamics of noninteracting fermions with a delta impurity, Local number variances and hyperuniformity of the Heisenberg family of determinantal point processes, Three phases of multiple SLE driven by non-colliding Dyson’s Brownian motions, Local tail statistics of heavy-tailed random matrix ensembles with unitary invariance, Truncated linear statistics in the one dimensional one-component plasma, Schur expansion of random-matrix reproducing kernels, Circulant L-ensembles in the thermodynamic limit, Moments of quantum purity and biorthogonal polynomial recurrence, Average capacity of quantum entanglement
