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math.PR2026
Linear spreading speed in non-monotone population models
Matthias Birkner, Alice Callegaro, Jiří Černý
For a broad class of discrete-time, finite-range interacting particle systems on , we establish a linear spreading speed and a one-dimensional shape theorem on the even…
math.PR2023
Survival and complete convergence for a branching annihilating random walk
Matthias Birkner, Alice Callegaro, Jiří Černý +2
We study a discrete-time branching annihilating random walk (BARW) on the -dimensional lattice. Each particle produces a Poissonian number of offspring with mean which indep…
math.PR2021
A spatially-dependent fragmentation process
Alice Callegaro, Matthew I. Roberts
We define a spatially-dependent fragmentation process, which involves rectangles breaking up into progressively smaller pieces at rates that depend on their shape. Long, thin recta…