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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.CV2025
Asymptotic Properties of a Special Solution to the (3,4) String Equation
Nathan Hayford
We analyze the asymptotic properties a special solution of the string equation, which appears in the study of the multicritical quartic -matrix model. In particular, we…