标题： Painlevé I层次：保单值方法与KP层次的最小模型之间的对应关系 显示英文标题

标题： The Painlevé I hierarchy: Correspondence between the isomonodromic approach and the minimal models of the KP hierarchy

摘要： 两种处理Painlevé I层次的方法被讨论：基于全纯联络的等单变性构造，以及基于KP层次约化的最小模型构造。 建立了两种形式主义之间的显式对应关系，这给出了这些设置的识别。 特别是，这提供了Lax矩阵和哈密顿量的新表达式。 显示英文摘要

摘要： Two approaches to the Painlev\'{e} I hierarchy are discussed: the isomonodromic construction based on meromorphic connections, and the minimal models construction based on a reduction of the KP hierarchy. An explicit correspondence between both formalisms is built which gives the identification of these setups. In particular, this provides new expressions for the Lax matrices and Hamiltonians.