3 papers
math.PR2024
Limiting behavior of a kindness model
Nicolas Lanchier, Max Mercer
This paper is concerned with a stochastic model for the spread of kindness across a social network. Individuals are located on the vertices of a general finite connected graph, and…
math.PR2023
Deffuant opinion dynamics with attraction and repulsion
Nicolas Lanchier, Max Mercer
In the Deffuant model, individuals are located on the vertices of a graph, and are characterized by their opinion, a number in . The dynamics depends on two parameters: a…
math.PR2023
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…