Hadrien Notarantonio

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20222025

most citedEffective algebraicity for solutions of systems of functional equations with one catalytic variable

2 citations · 2 across the 5 of their papers we have counts for

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math.CO2025

The 3-state Potts model on planar triangulations: explicit algebraic solution

Mireille Bousquet-Mélou, Hadrien Notarantonio

We consider the $3$ -state Potts generating function $T (ν, w)$ 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.CO2023

Systems of Discrete Differential Equations, Constructive Algebraicity of the Solutions

Hadrien Notarantonio, Sergey Yurkevich

In this article, we study systems of $n \geq 1$ , not necessarily linear, discrete differential equations (DDEs) of order $k \geq 1$ with one catalytic variable. We provide a constr…

math.CO2022★ 2 cited

Effective algebraicity for solutions of systems of functional equations with one catalytic variable

Hadrien Notarantonio, Sergey Yurkevich

We study systems of $n \geq 1$ discrete differential equations of order $k \geq 1$ in one catalytic variable and provide a constructive and elementary proof of algebraicity of their…