3 papers
nlin.SI2026
On difference-differential Lax pairs and integrals of Painlevé equations in finite characteristic
Nalini Joshi, Tomas Lasic Latimer, Pieter Roffelsen
We collect rank two difference-differential Lax pairs for classical Painlevé equations in the literature and put each in matrix form with the coefficient matrix of the…
math.CO2025
Combinatorics of Even-Valent Graphs on Riemann Surfaces
Roozbeh Gharakhloo, Tomas Lasic Latimer
In this paper, we derive explicit formulae for the number of regular even-valent graphs, with fixed minimal embedding genus, in which both the valence parameter and the number of v…
math.CA2020
Unique positive solutions to -discrete equations associated with orthogonal polynomials
Tomas Lasic Latimer
Boelen et al. (2010) deduced a -discrete Painlevé equation satisfied by the recurrence coefficients of orthogonal polynomials and conjectured that the equation had a unique posi…