Raney distributions and random matrix theory
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Publication:2352406
DOI10.1007/s10955-014-1150-4zbMath1352.60024arXiv1404.5759OpenAlexW3104189075MaRDI QIDQ2352406
Dang-Zheng Liu, Peter J. Forrester
Publication date: 1 July 2015
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.5759
Random matrices (probabilistic aspects) (60B20) Characteristic functions; other transforms (60E10) Factorials, binomial coefficients, combinatorial functions (05A10) Random matrices (algebraic aspects) (15B52)
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Asymptotics for characteristic polynomials of Wishart type products of complex Gaussian and truncated unitary random matrices, Asymptotics of Muttalib-Borodin determinants with Fisher-Hartwig singularities, Singular values for products of complex Ginibre matrices with a source: hard edge limit and phase transition, Correlation kernels for sums and products of random matrices, Fuss-Catalan matrices, their weighted sums, and stabilizer subgroups of the Riordan group, Singular values distribution of squares of elliptic random matrices and type B Narayana polynomials, On Wright's generalized Bessel kernel, Local universality in biorthogonal Laguerre ensembles, Selberg integral theory and Muttalib-Borodin ensembles, Asymptotic distributions of Wishart type products of random matrices, Unnamed Item, Some relatives of the Catalan sequence, The Vertical Recursive Relation of Riordan Arrays and Their Matrix Representation, A Fuss-type family of positive definite sequences, Free self-decomposability and unimodality of the Fuss-Catalan distributions, Matrix product ensembles of Hermite type and the hyperbolic Harish-Chandra-Itzykson-Zuber integral, A vector equilibrium problem for Muttalib-Borodin biorthogonal ensembles, Relating the Bures measure to the Cauchy two-matrix model, Bijections on \(r\)-Shi and \(r\)-Catalan arrangements, Moments of the ground state density for the d-dimensional Fermi gas in an harmonic trap, Spectral densities of singular values of products of Gaussian and truncated unitary random matrices, Jacobi polynomial moments and products of random matrices, Limiting Spectral Distributions of Sums of Products of Non-Hermitian Random Matrices, Hankel-total positivity of some sequences, A vector Riemann-Hilbert approach to the Muttalib-Borodin ensembles, Eigenvalue distribution of some nonlinear models of random matrices, Unnamed Item, Global and local scaling limits for the β = 2 Stieltjes–Wigert random matrix ensemble, Riordan array approach to Lagrange inversion formulas and Chung-Feller theory, Analogies between random matrix ensembles and the one-component plasma in two-dimensions, Asymptotic zero distribution of Jacobi-Piñeiro and multiple Laguerre polynomials
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