Abstract
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 language | English |
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Article number | 092705 |
Number of pages | 26 |
Journal | Journal of Mathematical Physics |
Volume | 56 |
Issue number | 9 |
DOIs | |
Publication status | Published - 30 Sep 2015 |
Keywords
- dynamical systems
- Euclidean geometries
- complex functions