3 papers
math.ST2026
LAN property for the parameter of the jump rate in mean field interacting systems of neurons
Aline Duarte, Dasha Loukianova, Aurélien Velleret
In the context of a large system of neurons interacting through spike events in a mean-field regime as , we characterize the estimation of a multidimensional param…
math.PR2025
Stochastic heterogeneous SIR model with infection-age dependent infectivity on large random graphs
Guodong Pang, Étienne Pardoux, Aurélien Velleret
We study an individual-based stochastic SIR epidemic model with infection-age dependent infectivity on a large random graph, capturing individual heterogeneity and non-homogeneous…
math.PR2020
Large deviations for surviving trajectories of general Markov processes
Aurélien Velleret
The purpose of this paper is to ensure the conditions of Gärtner-Ellis Theorem for evaluations of the empirical measure. We show that up-to-date conditions for ensuring the converg…