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math.PR2026
The two-nest ants process on triangle-series-parallel graphs
Cécile Mailler, Zoé Varin
The ants process is a stochastic process introduced by Kious, Mailler and Schapira as a model for the phenomenon of ants finding shortest paths between their nest and a source of f…
math.PR2025
Dispersion models on a circle: universal properties and asymptotic results
Jean-François Marckert, Zoé Varin
Consider a sequence of masses arriving uniformly at random at some points on the unit circle (or on , in…
math.PR2025
The golf model on and on
Zoé Varin
We introduce a particle model, that we call the . Initially, on a graph , balls and holes are placed at random on some distinct vertices. The balls then mov…