40 citations · 274 across the 42 of their papers we have counts for
48 papers
The contact process with social clusters and asymptomatic states
Karima Belatreche, Lamia Belhadji, Nicolas Lanchier
This paper is concerned with a natural variant of the contact process that places a social cluster of individuals, rather than a single individual, at each lattice point, and disti…
The contact process with an asymptomatic state
Lamia Belhadji, Nicolas Lanchier, Max Mercer
In order to understand the cost of a potentially high infectiousness of symptomatic individuals or, on the contrary, the benefit of social distancing, quarantine, etc. in the cours…
Durrett-Levin spatial model of allelopathy
Nicolas Lanchier, Max Mercer
Allelopathy refers to a type biological interaction that is neutral for a so-called inhibitory species but detrimental for a so-called susceptible species. To model this type…
Distribution of money on connected graphs with multiple banks
Nicolas Lanchier, Stephanie Reed
This paper studies an interacting particle system of interest in econophysics inspired from a model introduced in the physics literature. The original model consists of the custome…
Consensus in the Hegselmann-Krause model
Nicolas Lanchier, Hsin-Lun Li
This paper is concerned with the probability of consensus in a multivariate, spatially explicit version of the Hegselmann-Krause model for the dynamics of opinions. Individuals are…
First and second moments of the size distribution of bond percolation clusters on regular graphs
Nicolas Lanchier, Axel La Salle
Motivated by network resilience and insurance premiums in the context of cyber security, we derive universal upper bounds for the first and second moments of the size of bond perco…