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cond-mat.stat-mech2025
Closed-form survival probabilities for biased random walks at arbitrary step number
Debendro Mookerjee, Sarah Kostinski
We present a closed-form expression for the survival probability of a biased random walker to first reach a target site on a 1D lattice. The expression holds for any step number $N…
cond-mat.stat-mech2024
Exact closed-form recurrence probabilities for biased random walks at any step number
Debendro Mookerjee, Sarah Kostinski
We report on a closed-form expression for the survival probability of a discrete 1D biased random walk to not return to its origin after N steps. Our expression is exact for any N,…