11 citations · 12 across the 9 of their papers we have counts for
4 papers · 2 filters
On the extinction phase of the contact process with an asymptomatic state
Nicolas Lanchier
The contact process with an asymptomatic state, introduced in [Belhadji, Lanchier and Mercer, Stochastic Process. Appl., 176:104417, 2024], is a natural variant of the basic contac…
Multitype contact process with sterile states
Nicolas Lanchier, Max Mercer, Hyunsik Yun
This paper considers a natural variant of the -dimensional multitype contact process in which individuals can be fertile or sterile. Fertile individuals of type give birth t…
Short proof of the conditioning property for multi-dimensional Poisson point processes
Nicolas Lanchier
Poisson processes and one-dimensional Poisson point processes satisfy three main properties: superposition, thinning, and conditioning. The proof of the first two relies on basic e…
Contact process for the spread of knowledge
Nicolas Lanchier, Max Mercer, Hyunsik Yun
This paper is concerned with a natural variant of the contact process modeling the spread of knowledge on the integer lattice. Each site is characterized by its knowledge, measured…