2 papers
nlin.SI2025
On the geometry of a 4-dimensional extension of a -Painlevé I equation with symmetry type
Alexander Stokes, Tomoyuki Takenawa, Adrian Stefan Carstea
We present a geometric study of a four-dimensional integrable discrete dynamical system which extends the autonomous form of a -Painlevé I equation with symmetry of type $A_1^{(…
nlin.SI2024
Delay Painlevé-I equation, associated polynomials and Masur-Veech volumes
John Gibbons, Alexander Stokes, Alexander P. Veselov
We study a delay-differential analogue of the first Painlevé equation obtained as a delay periodic reduction of Shabat's dressing chain. We construct formal entire solutions to thi…