4 papers
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…
Stochastic heterogeneous SIR model with infection-age dependent infectivity on large random graphs
Guodong Pang, Ãtienne 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…
Quasi-ergodic theorems for Feynman-Kac semigroups and large deviation for additive functionals
Daehong Kim, Takara Tagawa, Aurélien Velleret
We study the long-time behavior of an additive functional that takes into account the jumps of a symmetric Markov process. This process is assumed to be observed through a biased o…
Inter-city infections and the role of size heterogeneity in containment strategies
Viktor Bezborodov, Tyll Krueger, Cornelia Pokalyuk +2
This study examines the effectiveness of regional lockdown strategies in mitigating pathogen spread across regional units, termed cities hereinafter. We develop simplified models t…