109 citations
- Laboratoire de Probabilités et Modèles AléatoiresFR67 papers
- Laboratoire de Statistique Théorique et AppliquéeFR7 papers
- Sorbonne UniversitéFR6 papers
- Centre for Research in Engineering Surface TechnologyIE3 papers
- Institut Camille JordanFR3 papers
- International Center for Transitional JusticeUS3 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR3 papers
- Mathématiques Appliquées à Paris 5FR3 papers
- Université Paris CitéFR3 papers
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- Département de mathématiques et applicationsFR2 papers
- Institut de recherche mathématique de RennesFR2 papers
21 papers · 2 filters
On a model for the storage of files on a hardware II : Evolution of a typical data block
Vincent Bansaye
We consider a generalized version in continuous time of the parking problem of Knuth. Files arrive following a Poisson point process and are stored on a hardware identified with th…
A slow transient diffusion in a drifted stable potential
Arvind Singh
We consider a diffusion process in a random potential $\V$ of the form $\V_x = §_x -δx$ where is a positive drift and is a strictly stable process of index …
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…
On the speed of a cookie random walk
Anne-Laure Basdevant, Arvind Singh
We consider the model of the one-dimensional cookie random walk when the initial cookie distribution is spatially uniform and the number of cookies per site is finite. We give a cr…
On the equivalence of some eternal additive coalescents
Anne-Laure Basdevant
In this paper, we study additive coalescents. Using their representation as fragmentation processes, we prove that the law of a large class of eternal additive coalescents is absol…