3 papers
math.CO2025
The 3-state Potts model on planar triangulations: explicit algebraic solution
Mireille Bousquet-Mélou, Hadrien Notarantonio
We consider the -state Potts generating function of planar triangulations; that is, the bivariate series that counts planar triangulations with vertices coloured in $3…
math.CO2025
DDE-SOLVER: A Maple Package For Discrete Differential Equations
Hadrien Notarantonio
We introduce DDE-Solver, a Maple package designed for solving Discrete Differential Equations (DDEs). These equations are functional equations relating algebraically a formal power…
math.CO2024
Systems of Discrete Differential Equations, Constructive Algebraicity of the Solutions
Hadrien Notarantonio, Sergey Yurkevich
In this article, we study systems of , not necessarily linear, discrete differential equations (DDEs) of order with one catalytic variable. We provide a constr…