15 citations · 19 across the 7 of their papers we have counts for
7 papers
On absolutely continuous curves in the Wasserstein space over R and their representation by an optimal Markov process
Charles Boubel, Nicolas Juillet
Let = (t)tR be a 1-parameter family of probability measures on R. In [11] we introduced its ``Markov-quantile''process: a process X= (Xt)tR that resembles as much…
The Markov-quantile process attached to a family of Marginals
Charles Boubel, Nicolas Juillet
Let = (t)tR be any 1-parameter family of probability measures on R. Its quantile process (Gt)tR : ]0, 1[ RR, given by Gt() = inf{x R : t(…
Affine transformations and parallel lightlike vector fields on compact Lorentzian -manifolds
Charles Boubel, Pierre Mounoud
We describe the compact Lorentzian -manifolds admitting a parallel lightlike vector field. The classification of compact Lorentzian -manifolds admitting non-isometric affine…
The algebra of the parallel endomorphisms of a pseudo-Riemannian metric: semi-simple part
Charles Boubel
On a (pseudo-)Riemannian manifold (MM,g), some fields of endomorphisms i.e. sections of End(TMM) may be parallel for g. They form an associative algebra A, which is also the commut…
The algebra of parallel endomorphisms of a germ of pseudo-Riemannian metric
Charles Boubel
On a (pseudo-)Riemannian manifold (M,g), some fields of endomorphisms i.e. sections of End(TM) may be parallel for g. They form an associative algebra A, which is also the commutan…
An integrability condition for fields of nilpotent endomorphisms
Charles Boubel
We give a necessary and sufficient condition on the 1-jet of a field of nilpotent endomorphisms to be integrable. Together with the well known corresponding condition for an almost…
Lorentzian foliations on 3-manifolds
C. Boubel, P. Mounoud, C. Tarquini
We study transversely Lorentzian foliations on the closed 3-manifolds. We classify them under a completeness hypothesis and we deduce the dual classification of codimension 1 geode…