Universality properties of Gelfand-Tsetlin patterns

DOI10.1007/s00440-011-0399-7zbMath1271.60017arXiv1105.1272OpenAlexW1990552616MaRDI QIDQ1939547

Anthony P. Metcalfe

Publication date: 4 March 2013

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.1272

zbMATH Keywords

eigenvaluesrandom matricesfree probabilitysine kerneldeterminantal processesGelfand-Tsetlin patternseigenvalues of the minorsprojections of matrices

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52)

Related Items

Double interlacing in random tiling models ⋮ Maxima of log-correlated fields: some recent developments* ⋮ Asymptotic geometry of discrete interlaced patterns: Part I ⋮ Universal edge fluctuations of discrete interlaced particle systems ⋮ Lozenge tilings of hexagons with cuts and asymptotic fluctuations: a new universality class ⋮ Scaling limits for non-intersecting polymers and Whittaker measures ⋮ Gelfand-Tsetlin polytopes and random contractions away from the limiting shape ⋮ Asymptotics of random lozenge tilings via Gelfand-Tsetlin schemes ⋮ Kerov's interlacing sequences and random matrices ⋮ On eigenvalues of the sum of two random projections ⋮ Perturbed GUE minor process and Warren's process with drifts ⋮ Random matrix techniques in quantum information theory ⋮ Universality of local statistics for noncolliding random walks ⋮ Tilings of non-convex polygons, skew-Young tableaux and determinantal processes ⋮ Asymptotics of symmetric polynomials with applications to statistical mechanics and representation theory ⋮ Fractional free convolution powers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Orbit measures, random matrix theory and interlaced determinantal processes
• Interlaced processes on the circle
• The bead model and limit behaviors of dimer models
• A random matrix model from two dimensional Yang-Mills theory
• Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles
• The atoms of the free multiplicative convolution of two probability distributions
• Step fluctuations for a faceted crystal
• Discrete polynuclear growth and determinantal processes
• Eigenvalues of GUE minors
• Dyson's Brownian motions, intertwining and interlacing
• Product of random projections, Jacobi ensembles and universality problems arising from free probability
• Determinantal random point fields
• Universality of Wigner random matrices: a survey of recent results
• Lectures on the Combinatorics of Free Probability
• Course 1 Random matrices and determinantal processes
• An Introduction to Random Matrices
• An exact formula for general spectral correlation function of random Hermitian matrices
• GUEs and queues
• Universality of the local spacing distribution in certain ensembles of Hermitian Wigner matrices