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math.PR2026
Localisation of the monkey walk with an "impurity" at the origin
Wilfred Armfield, Cécile Mailler
The monkey walk is a model of reinforced random walk introduced by Boyer and Solis-Salas as a model for the exploratory behaviour of capuchin monkeys. At each step of the walk, the…
math.PR2026
The forward-loop-erased ants walk
Wilfred Armfield, Cécile Mailler
In this paper, we study a new variant of the ants walk: a model of reinforced random walks for the phenomenon of a colony of ants being able to find the shortest path between their…