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A Sharp Phase Transition for Killed Branching Random Walks with Heavy-Tailed Displacements
We study the survival of a branching random walk in a supercritical Galton-Watson tree subject to a deterministic, superlinear killing barrier with heavy-tailed displacements. For a fixed $m>0$, we consider a family of such barriers and kill particles whose ancestral paths fall below the barrier. Un
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