Universality of the Distribution Functions of Random Matrix Theory

  title={Universality of the Distribution Functions of Random Matrix Theory},
  author={Craig A. Tracy and Harold Widom},
Statistical mechanical lattice models are called solvable if their associated Boltzmann weights satisfy the factorization or star-triangle equations of McGuire [1], Yang [2] and Baxter [3]. For such models the free energy per site and the one-point correlations in the thermodynamic limit are expressible in closed form [4]. There exists a deep mathematical structure [4, 5] underlying these solvable models; and near critical points, a wider applicability than one would initially expect. This last… CONTINUE READING
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