4 papers
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…
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…
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…
On the geometry of isomonodromic deformations on the torus and the elliptic Calogero-Moser system
Mohamad Alameddine
We consider isomonodromic deformations of connections with a simple pole on the torus, motivated by the elliptic version of the sixth Painlevé equation. We establish an extended sy…