Aurélien Velleret

My research focuses on stochastic models of large populations of interacting agents, particularly in contexts where collective interactions are responsible for adaptation or metastability properties of the whole system.
My interest in applications spans biological systems where natural selection plays a crucial and unexpected role.
Since my Ph.D., I have analyzed the concepts and limitations of quasi-stationarity across various archetypal models of adaptation.
Later on, I have delved into large population limits of epidemiological models on interaction graphs whose random construction reflect the heterogeneity of the actors.
My current focus is on understanding the impact of heterogeneity in agent contributions, striving for optimal representations that align with biological characteristics.
- Scaling limits of Agent-Based Models
- Random graphs
- Quasi-stationary distributions (QSD)
- Q-process
- Survival capacity
- Large deviation theory
- Adaptation and selection
- Epidemic transmission
- Structures of interactions