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Integrable systems and AdS/CFT duality
This thesis is devoted to the study of integrable quantum systems such as spin chains, two-dimensional field theories and the AdS/CFT duality. This AdS/CFT duality is... -
Q-discrete Painlevé equation and associated linear problem
Cette thèse est une étude analytique d'équations de Painlevé discrètes(q-discrete Painlevé equations), utilisant le système linéaire associé, dont les équations de... -
Semi-toric integrable systems and moment polytopes
Semi-toric integrable systems are integrable systems whose every component of the moment map are periodic of the same period. They are symplectic manifolds endowed... -
Stokes phenomenoms and Galoisian approach to confluence problems
This thesis deal with the differential Galois theory and more particularly the Borel-Laplace summation of the divergent power series. There are two parts. The first...
