The Discrete Painlevé I Hierarchy

Clio Cresswell, Nalini Joshi

The discrete Painlevé I equation (dP${}_{\mathrm{I}}$) is an integrable difference equation which has the classical first Painlevé equation (P${}_{\mathrm{I}}$) as a continuum limit. dP${}_{\mathrm{I}}$ is beli…