4 citations · 11 across the 11 of their papers we have counts for
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math.DS2006
Transition maps at non-resonant hyperbolic singularities are o-minimal
Tobias Kaiser, Jean-Philippe Rolin, Patrick Speissegger
We construct a model complete and o-minimal expansion of the field of real numbers such that, for any planar analytic vector field X and any isolated, non-resonant hyperbolic singu…
math.LO2006
An ordered structure of rank two related to Dulac's problem
Alf Dolich, Patrick Speissegger
For a vector field F on the Euclidean plane we construct, under certain assumptions on F, an ordered model-theoretic structure associated to the flow of F. We do this in such a way…
math.DG2006★ 2 cited
The theorem of the complement for nested subpfaffian sets
Jean-Marie Lion, Patrick Speissegger
Let R be an o-minimal expansion of the real field, and let L(R) be the language consisting of all nested Rolle leaves over R. We call a set nested subpfaffian over R if it is the p…