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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…
math.PR2024
Spreading speed of locally regulated population models in macroscopically heterogeneous environments
Pascal Maillard, Gaël Raoul, Julie Tourniaire
We consider a certain lattice branching random walk with on-site competition and in an environment which is heterogeneous at a macroscopic scale in space and time.…