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math.PR2026
A Sharp Phase Transition for Killed Branching Random Walks with Heavy-Tailed Displacements
Ramkrishna Jyoti Samanta
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…
math.PR2026
Long-term behaviour of refracted Lévy processes in a half-line
Ramkrishna Jyoti Samanta, Alexander R. Watson
We study the long-term behaviour of refracted Lévy processes within a half-line, with killing on exiting the domain and at state-dependent rate inside it. We identify the decay rat…