From alternating sign matrices to the Gaussian unitary ensemble

DOI10.1007/s00220-014-2084-zzbMath1303.15038arXiv1306.6347OpenAlexW3101954006MaRDI QIDQ461427

Vadim Gorin

Publication date: 10 October 2014

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.6347

zbMATH Keywords

asymptotic distributionGaussian unitary ensemblealternating sign matrixdimer modelsix-vertex modelGUE corner processice-type modelrandom lozenge tiling

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Random matrices (algebraic aspects) (15B52) Sign pattern matrices (15B35)

Related Items (15)

Stochastic six-vertex model ⋮ Gaussian fluctuations for products of random matrices ⋮ Pieri integral formula and asymptotics of Jack unitary characters ⋮ General β-Jacobi Corners Process and the Gaussian Free Field ⋮ Arctic curves of the four-vertex model ⋮ Multilevel Dyson Brownian motions via Jack polynomials ⋮ Domain wall fluctuations of the six-vertex model at the ice point ⋮ Fluctuation of the phase boundary in the six-vertex model with domain wall boundary conditions: a Monte Carlo study ⋮ GOE fluctuations for the maximum of the top path in alternating sign matrices ⋮ Asymptotic formulas for Macdonald polynomials and the boundary of the \((q,t)\)-Gelfand-Tsetlin graph ⋮ Arctic boundaries of the ice model on three-bundle domains ⋮ Characterization of Brownian Gibbsian line ensembles ⋮ GUE corners process in boundary-weighed six-vertex models ⋮ Gaussian unitary ensemble in random lozenge tilings ⋮ Asymptotics of symmetric polynomials with applications to statistical mechanics and representation theory

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