120 citations
- Centre National de la Recherche ScientifiqueFR12 papers
- Institut PprimeFR7 papers
- Laboratoire de Mathématiques et ApplicationsFR2 papers
- La Rochelle UniversitéFR2 papers
- Pennsylvania State UniversityUS2 papers
- Brandeis UniversityUS1 paper
- City University of Hong KongHK1 paper
- École Nationale Supérieure de Mécanique et d'AérotechniqueFR1 paper
- École PolytechniqueFR1 paper
- ETH ZurichCH1 paper
- Institut de recherche mathématique de RennesFR1 paper
- Institute of Materials for Electronics and MagnetismIT1 paper
Showing 2008 · math.PRShow all
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math.PR2008★ 18 cited
Rescaled weighted random balls models and stable self-similar random fields
Jean-Christophe Breton, Clément Dombry
We consider weighted random balls in distributed according to a random Poisson measure with heavy-tailed intensity and study the asymptotic behaviour of the total weight…
math.PR2008
Existence of non-trivial harmonic functions on Cartan-Hadamard manifolds of unbounded curvature
Marc Arnaudon, Anton Thalmaier, Stefanie Ulsamer
The Liouville property of a complete Riemannian manifold (i.e., the question whether there exist non-trivial bounded harmonic functions) attracted a lot of attention. For Cartan-Ha…
math.PR2008
Convex ordering for random vectors using predictable representation
Marc Arnaudon, Jean-Christophe Breton, Nicolas Privault
We prove convex ordering results for random vectors admitting a predictable representation in terms of a Brownian motion and a non-necessarily independent jump component. Our metho…