3 citations · 8 across the 3 of their papers we have counts for
3 papers
math.DS2020★ 2 cited
Solutions of definable ODEs with regular separation and dichotomy interlacement versus Hardy
Olivier Le Gal, Mickaël Matusinski, Fernando Sanz Sánchez
We introduce a notion of regular separation for solutions of systems of ODEs , where F is definable in a polynomially bounded o-minimal structure and . Gi…
math.LO2017★ 3 cited
On local definability of holomorphic functions
Gareth Jones, Jonathan Kirby, Olivier Le Gal +1
Given a collection A of holomorphic functions, we consider how to describe all the holomorphic functions locally definable from A. The notion of local definability of holomorphic f…
math.CA2013★ 3 cited
Trajectories in interlaced integral pencils of 3-dimensional analytic vector fields are o-minimal
Olivier Le Gal, Fernando Sanz, Patrick Speissegger
Let X be an analytic vector field defined in a neighborhood of the origin of R^3, and let I be an analytically non-oscillatory integral pencil of X; that is, I is a maximal family…