6 papers
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…
Survival and extinction for a contact process with a density-dependent birth rate
Jonas Köppl, Nicolas Lanchier, Max Mercer
To study later spatial evolutionary games based on the multitype contact process, we first focus in this paper on the conditions for survival/extinction in the presence of only one…
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…
Evolutionary games on the lattice: multitype contact process with density-dependent birth rates
Jonas Köppl, Nicolas Lanchier, Max Mercer
Interacting particle systems of interest in evolutionary game theory introduced in the probability literature consist of variants of the voter model in which each site is occupied…