4 papers
On the equations of Poizat and Liénard
James Freitag, Rémi Jaoui, David Marker +1
We study the structure of the solution sets in universal differential fields of certain differential equations of order two, the Poizat equations, which are particular cases of Lié…
Relative internality and definable fibrations
Rémi Jaoui, Léo Jimenez, Anand Pillay
We first elaborate on the theory of relative internality in stable theories, focusing on the notion of uniform relative internality (called collapse of the groupoid in an earlier w…
Rational factors, invariant foliations and algebraic disintegration of compact mixing Anosov flow of dimension
Rémi Jaoui
In this article, we develop a geometric framework to study the notion of semi-minimality for the generic type of a smooth autonomous differential equation , based on the stu…
Differential fields and Geodesic flows II : Geodesic flows of pseudo-Riemannian algebraic varieties
Remi Jaoui
We define the notion of a smooth pseudo-Riemannian algebraic variety over a field of characteristic , which is an algebraic analogue of the notion of Riemannian mani…