1.8k citations
- Centre National de la Recherche ScientifiqueFR449 papers
- Laboratoire d'Informatique Gaspard-MongeFR267 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR175 papers
- Université Paris-Est CréteilFR174 papers
- Université Paris CitéFR95 papers
- Institut des Sciences de la TerreFR91 papers
- Université Grenoble AlpesFR88 papers
- Lyon 1 UniversitéFR66 papers
- Université Savoie Mont BlancFR66 papers
- Sorbonne UniversitéFR61 papers
- Université Paris-SaclayFR48 papers
- Université Paris Sciences et LettresFR44 papers
10 papers · 2 filters
The Rightmost Particle of the Contact Process on Dynamic Random Environments
Isabella Alvarenga, Aurelia Deshayes
We study the behaviour of the rightmost occupied site in two models: the Spont process and the contact process with inherited sterility, in dimension 1. Both can be viewed as conta…
Some remarks on Gordin-Lifšic's condition for martingale approximations
Jèrôme Dedecker, Florence Merlevède
In this note, we study a condition introduced by Gordin and Lif{\v s}ic in 1981 to establish the Central Limit Theorem for additive functionals of stationary Markov chains with nor…
Spin glass analysis of the invariant distribution of a Lotka-Volterra SDE with a large random interaction matrix
Mohammed Younes Gueddari, Walid Hachem
The generalized Lotka-Volterra stochastic differential equation with a symmetric food interaction matrix is frequently used to model the dynamics of the abundances of the species l…
Capacity in high dimensional percolation
Amine Asselah, Bruno Schapira, Perla Sousi
We introduce a notion of capacity for high dimensional critical percolation by showing that for any finite set , the suitably rescaled probability that the cluster of inters…
Efficient estimation of jump parameters for stochastic differential equations driven by L{é}vy processes
Elise Bayraktar, Emmanuelle Clément
In a high-frequency context, we investigate the efficient estimation of scaling and jump activity parameters for a stochastic differential equation driven by a L{é}vy process with…
Equivalence by coupling for heterogeneous SIS models*
Jean-François Delmas, Dylan Dronnier, Pierre-André Zitt
We consider the optimal allocation of (perfect) vaccine in an heterogeneous SIS model. Using a coupling approach, we explain how different models for the heterogeneity of the popul…