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math.PR2026
Invasion dynamics with vanishing fitness for a quasi-critical birth-death process
Vincent Bansaye, Nadia Belmabrouk, Xavier Erny +1
We study the invasion dynamics of populations exhibiting positive density-dependent effects. We start with a single individual and consider a single-type birth and death process. T…
math.PR2026
Growing random planar network with oriented branching and fusion
Vincent Bansaye, Gael Raoul, Milica Tomasevic
We consider a growing planar network where a tip grows at constant speed, branches at constant rate and inactivates when it meets a branch already created. We only consider here or…