Random Matrices and the Six-Vertex Model
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Publication:2871887
DOI10.1090/crmm/032zbMath1279.82001OpenAlexW629509380MaRDI QIDQ2871887
Publication date: 13 January 2014
Full work available at URL: https://doi.org/10.1090/crmm/032
Random matrices (probabilistic aspects) (60B20) Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02) Exactly solvable models; Bethe ansatz (82B23) Random matrices (algebraic aspects) (15B52) Other special orthogonal polynomials and functions (33C47)
Related Items (26)
Stochastic six-vertex model ⋮ Investigation of the two-cut phase region in the complex cubic ensemble of random matrices ⋮ Matrix-valued orthogonal polynomials related to hexagon tilings ⋮ Nonintersecting Brownian motions on the unit circle ⋮ Critical measures for vector energy: global structure of trajectories of quadratic differentials ⋮ Arctic curves of the six-vertex model on generic domains: the tangent method ⋮ Uniform asymptotics for the discrete Laguerre polynomials ⋮ Stochastic PDE limit of the six vertex model ⋮ Universality for conditional measures of the sine point process ⋮ Domain wall fluctuations of the six-vertex model at the ice point ⋮ Phase diagram and topological expansion in the complex quartic random matrix model ⋮ Fluctuation of the phase boundary in the six-vertex model with domain wall boundary conditions: a Monte Carlo study ⋮ Extremal polynomials on the \(n\)-grid ⋮ Current fluctuations of the stationary ASEP and six-vertex model ⋮ Openness of regular regimes of complex random matrix models ⋮ Domain wall six-vertex model with half-turn symmetry ⋮ Nonintersecting Brownian bridges on the unit circle with drift ⋮ The matching condition for larger size Riemann-Hilbert problems ⋮ Arctic curve of the free-fermion six-vertex model in an L-shaped domain ⋮ Topological expansion in the complex cubic log-gas model: one-cut case ⋮ Six-vertex model with partial domain wall boundary conditions: Ferroelectric phase ⋮ Thermodynamics of the six-vertex model in an L-shaped domain ⋮ The supercritical regime in the normal matrix model with cubic potential ⋮ The Fourier extension method and discrete orthogonal polynomials on an arc of the circle ⋮ Boundary one-point function of the rational six-vertex model with partial domain wall boundary conditions: explicit formulas and scaling properties ⋮ Universality for conditional measures of the Bessel point process
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