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math-ph2023
Isomonodromic and isospectral deformations of meromorphic connections: the case
Olivier Marchal, Mohamad Alameddine
We consider non-twisted meromorphic connections in and the associated symplectic Hamiltonian structure. In particular, we provide explicit expressions…
math-ph2023
Hamiltonian representation of isomonodromic deformations of twisted rational connections: The Painlevé hierarchy
Olivier Marchal, Mohamad Alameddine
In this paper, we build the Hamiltonian system and the corresponding Lax pairs associated to a twisted connection in admitting an irregular and ramifi…