3 papers
math.LO2025
Algebraic independence of solutions to multiple Lotka-Volterra systems
Yutong Duan, Christine Eagles, Léo Jimenez
Consider some non-zero complex numbers with and the associated classical Lotka-Volterra systems \[ \begin{cases} x' = a_i xy + b_i x \newline…
math.LO2025
Domination, fibrations and splitting
Christine Eagles, Léo Jimenez
This article is concerned with finite rank stability theory, and more precisely two classical ways to decompose a type using minimal types. The first is its domination equivalence…
math.CA2024
Internality of autonomous algebraic differential equations
Christine Eagles, Léo Jimenez
This article is interested in internality to the constants of systems of autonomous algebraic ordinary differential equations. Roughly, this means determining when can all solution…