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math.PR2024
The extinction rate of a branching random walk with a barrier in a time-inhomogeneous random environment
You Lv
Consider a supercritical branching random walk in a time-inhomogeneous random environment. We impose a selection (called barrier) on survival in the following way. The position of…
math.PR2024
Asymptotic behavior for the quenched survival probability of a supercritical branching random walk in random environment with a barrier
You Lv, Wenming Hong
We introduce a random barrier to a supercritical branching random walk in an i.i.d. random environment indexed by time i.e., in each generation, only the i…