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arxiv: 0901.0665 · v2 · submitted 2009-01-06 · 🧮 math-ph · math.MP

Six-Vertex, Loop and Tiling models: Integrability and Combinatorics

classification 🧮 math-ph math.MP
keywords modelscombinatoricsincludingloopsix-vertexactivityalgebraicapplications
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This is a review (including some background material) of the author's work and related activity on certain exactly solvable statistical models in two dimensions, including the six-vertex model, loop models and lozenge tilings. Applications to enumerative combinatorics and to algebraic geometry are described.

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