2 papers
nlin.SI2026
On integrals of non-autonomous dynamical systems in finite characteristic
Nalini Joshi, Pieter Roffelsen
We use a difference Lax form to construct simultaneous integrals of motion of the fourth Painlevé equation and the difference second Painlevé equation over fields with finite chara…
nlin.SI2025
Arithmetic dynamics of a discrete Painlevé equation
Nalini Joshi, Pieter Roffelsen
We consider the orbits of a discrete Painlevé equation over finite fields and show that the number of points in such orbits satisfy the Hasse bound. The orbits turn out to lie on a…