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math.PR2025
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…
math.PR2025
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…
math.PR2024★ 1 cited
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…