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Creators/Authors contains: "Gorin, Vadim"

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  1. ; (, Bulletin of the American Mathematical Society)
    We survey the connections between the six-vertex (square ice) model of 2D statistical mechanics and random matrix theory. We highlight the same universal probability distributions appearing on both sides, and also indicate related open questions and conjectures. We present full proofs of two asymptotic theorems for the six-vertex model: in the first one the Gaussian Unitary Ensemble (GUE) and GUE–corners process appear; the second one leads to the Tracy–Widom distribution F 2 F_2 . While both results are not new, we found shorter transparent proofs for this text. On our way we introduce the key tools in the study of the six-vertex model, including the Yang–Baxter equation and the Izergin–Korepin formula. 
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    Free, publicly-accessible full text available April 1, 2026
  2. ; (, The Annals of Probability)
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  3. ; (, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques)
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  4. ; (, Journal of the European Mathematical Society)
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  5. ; (, Probability Theory and Related Fields)
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  6. ; ; (, Communications in Mathematical Physics)
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  7. ; (, The Annals of Statistics)
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  8. ; ; (, The Annals of Applied Probability)
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  9. ; (, American Journal of Mathematics)
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  10. ; ; (, Proceedings of the London Mathematical Society)
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