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math-ph2025
The Painlevé I hierarchy: Correspondence between the isomonodromic approach and the minimal models of the KP hierarchy
Mohamad Alameddine, Nathan Hayford, Olivier Marchal
Two approaches to the Painlevé I hierarchy are discussed: the isomonodromic construction based on meromorphic connections, and the minimal models construction based on a reduction…
math-ph2025
A Twisted sl_2(C) Isomonodromic-Isospectral Correspondence
Mohamad Alameddine
The aim of this article is to generalize the isomonodromic-isospectral correspondence for meromorphic connections of rank over to the twisted case. More specific…
math.DG2025
Resurgence of Tritronquées Solutions of the Deformed Painlevé I Equation
Mohamad Alameddine, Olivier Marchal, Nikita Nikolaev +1
We prove that the formal -power series solution of the deformed Painlevé I equation is resurgent, which means it is generically Borel summable and its Borel transform admits…