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math.PR2026
A shape theorem for BBM in a periodic environment
Louigi Addario-Berry, Arturo Arellano Arias, Jessica Lin
The paper proves that binary branching Brownian motion with a spatially periodic branching rate, when rescaled by time, converges almost surely to a deterministic convex shape, and…
math.PR2026
Symmetric Cooperative Motion in Higher Dimensions
Louigi Addario-Berry, Gavin Barill, Hannah Cairns +1
We prove a distributional convergence result for a multidimensional version of symmetric cooperative motion which was introduced and studied in one dimension in \cite{HRW, SCM1}. O…
math.PR2025
Generalized front propagation for spatial stochastic population models
Thomas Hughes, Jessica Lin
We present a general framework which can be used to prove that, in an annealed sense, rescaled spatial stochastic population models converge to generalized propagating fronts. Our…