Christine Eagles

works on

autonomous differential equations 1 internality 1 liouvillian solutions 1 lotka-volterra system 1 poizat equations 1

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math.LO2026

Algebraic independence of solutions to multiple Lotka-Volterra systems

Yutong Duan, Christine Eagles, LÃ©o Jimenez

Consider some non-zero complex numbers $a_{i}, b_{i}, c_{i}, d_{i}$ with $1 \leq i \leq n$ and the associated classical Lotka-Volterra systems \[ \begin{cases} x' = a_i xy + b_i x \newline…

math.LO2025

Domination, fibrations and splitting

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.LO2025

Splitting differential equations using Galois theory

This article is interested in pullbacks under the logarithmic derivative of algebraic ordinary differential equations. In particular, assuming the solution set of an equation is in…