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arxiv: 1711.07865 · v1 · pith:Y7C4ASLSnew · submitted 2017-11-21 · 🧮 math-ph · cond-mat.stat-mech· math.CO· math.MP· math.RT

Integrable Combinatorics

classification 🧮 math-ph cond-mat.stat-mechmath.COmath.MPmath.RT
keywords integrableproblemsborrowedcombinatorialcombinatoricsconservationconstantscontinuously
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We explore various combinatorial problems mostly borrowed from physics, that share the property of being continuously or discretely integrable, a feature that guarantees the existence of conservation laws that often make the problems exactly solvable. We illustrate this with: random surfaces, lattice models, and structure constants in representation theory.

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