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Science & Technology, Physical Sciences, Mathematics, Applied, Mathematics, Aztec diamond, random tilings, matrix valued orthogonal polynomials, Riemann-Hilbert problems, CHRISTOFFEL-DARBOUX FORMULA, RIEMANN-HILBERT PROBLEMS, RANDOM DOMINO TILINGS, STRONG ASYMPTOTICS, SCHUR PROCESS, PEARCEY, UNIVERSALITY, STATISTICS, RESPECT, MODELS, 0101 Pure Mathematics, General Mathematics, 4904 Pure mathematics