296 citations
- Centre National de la Recherche ScientifiqueFR16 papers
- Université de LilleFR13 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR5 papers
- KU LeuvenBE3 papers
- Laboratoire de Physique des PlasmasFR3 papers
- Missouri University of Science and TechnologyUS3 papers
- Université Paris CitéFR3 papers
- École Normale Supérieure - PSLFR2 papers
- Institut de Mathématiques de BordeauxFR2 papers
- Institut de recherche mathématique de RennesFR2 papers
- Institut national de recherche en sciences et technologies du numériqueFR2 papers
- Laboratoire de Mathématiques d'OrsayFR2 papers
6 papers · 1 filter
Fonctions de Mittag-Leffler et processus de Lévy stables sans saut négatif
Thomas Simon
It is noticed that a certain transform of the Mittag-Leffler function Ea is completely monotone for a in [1,2]. Using the explicit expressions of its Bernstein density, an identity…
Stochastic and deterministic models for age-structured populations with genetically variable traits
Regis Ferriere, Viet Chi Tran
Understanding how stochastic and non-linear deterministic processes interact is a major challenge in population dynamics theory. After a short review, we introduce a stochastic ind…
Joint continuity of the local times of fractional Brownian sheets
Antoine Ayache, Dongsheng Wu, Yimin Xiao
Let be an -fractional Brownian sheet with index defined by $B^H(t)=(B^H_1(t),...,B^H_d(t)) (t\in {\mathbb{R…
A stochastic SIR model with contact-tracing: large population limits and statistical inference
Stéphan Clémençon, Viet Chi Tran, Hector De Arazoza
A stochastic epidemic model accounting for the effect of contact-tracing on the spread of an infectious disease is studied. Precisely, individuals identified as infected may contri…
Age-structured Trait Substitution Sequence Process and Canonical Equation
Sylvie Méléard, Viet Chi Tran
We are interested in a stochastic model of trait and age-structured population undergoing mutation and selection. We start with a continuous time, discrete individual-centered popu…
properties for Gaussian random series
A. Ayache, N. Tzvetkov
We study L^p properties of Gaussian random series with particular attention to the case of radial functions.