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This topic has appeared in the English Wikipedia rankings 1 time. It first appeared on 2026-06-15 and was most recently seen on 2026-06-15.
In mathematical physics, the Garnier integrable system, also known as the classical Gaudin model is a classical mechanical system discovered by René Garnier in 1917, and solved using abelian integrals on compact Riemann surfaces of arbitrarily high genus. It is obtained by taking the 'Painlevé simplification' or 'autonomous limit' of the Schlesinger equations.
It may be interpreted as the classical limit of the quantum Gaudin model due to Michel Gaudin.
(Similarly, the Schlesinger equations are the classical limit of the Knizhnik–Zamolodchikov equations, expressed in the Heisenberg representation.. )
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