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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.PR2026
Tightness of the maximum of branching random walk in random environment and zero-crossings of solutions to discrete parabolic differential equations
Jiří Černý, Flavio Dalessi
We study branching random walk on in a bounded i.i.d. random environment. For this process, we prove that, for almost every realization of the environment, the distrib…