332 citations
- Psychiatric Medicine AssociatesUS49 papers
- Sorbonne UniversitéFR38 papers
- Université Paris CitéFR27 papers
- Centre National de la Recherche ScientifiqueFR24 papers
- Département de mathématiques et applicationsFR9 papers
- École Normale Supérieure - PSLFR9 papers
- Université Paris NanterreFR8 papers
- Laboratoire de Statistique Théorique et AppliquéeFR7 papers
- Centre de Recherche en Économie et StatistiqueFR6 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR5 papers
- Laboratoire Paul PainlevéFR5 papers
- École Normale Supérieure de LyonFR4 papers
20 papers · 2 filters
Homogenenous Multitype Fragmentations
Jean Bertoin
A homogeneous mass-fragmentation, as it has been defined in \cite{RFC}, describes the evolution of the collection of masses of fragments of an object which breaks down into pieces…
A new REM conjecture
Gerard Ben Arous, Veronique Gayrard, Alexey Kuptsov
We introduce here a new universality conjecture for levels of random Hamiltonians, in the same spirit as the local REM conjecture made by S. Mertens and H. Bauke. We establish our…
An arithmetic model for the total disorder process
C. P. Hughes, A. Nikeghbali, M. Yor
We prove a multidimensional extension of Selberg's central limit theorem for the logarithm of the Riemann zeta function on the critical line. The limit is a totally disordered proc…
Modified logarithmic Sobolev inequalities on R
Franck Barthe, Cyril Roberto
We provide a sufficient condition for a measure on the real line to satisfy a modified logarithmic Sobolev inequality, thus extending the criterion of Bobkov and Götze. Under mild…
Large Deviations for Statistics of Jacobi Process
Nizar Demni, Marguerite Zani
In this paper, we derive a handable expression for the Jacobi process semi group which is given by a bilinear series involving Jacobi polynomials. Our attempt uses a subordination…
Laguerre Process and Generalised Hartman-Watson Law
Nizar Demni
In this paper, we study complex Wishart processes or the so-called Laguerre processes. We give some interest to the behaviour of the eigenvalues process, derive some useful SDE and…