Lattice equations arising from discrete Painlevé systems. I. (A2 + A1)(1) and (A1 + A1')(1) cases

Nalini Joshi, Nobutaka Nakazono, Yang Shi

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We introduce the concept of ω-lattice, constructed from τ functions of Painlevé systems, on which quad-equations of ABS (Adler-Bobenko-Suris) type appear. In particular, we consider the A5(1)- and A6(1)-surface q-Painlevé systems corresponding affine Weyl group symmetries are of (A2 + A1)(1) and (A1 + A1')(1)-types, respectively.

Original languageEnglish
Article number092705
Number of pages26
JournalJournal of Mathematical Physics
Issue number9
Publication statusPublished - 30 Sep 2015


  • dynamical systems
  • Euclidean geometries
  • complex functions


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