Abstract
Symmetric and asymmetric random walks on a segment (−∞,T>0) of the real line are considered. There is a non-zero probability for the random walk to get absorbed at a site it visits. We derive for such random walks, expressions for survival probabilities in the asymptotic limit ofT→∞. An application of this asymptotic formulation to the problem of radiation transport through thick shields is presented.
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Murthy, K.P.N. Asymptotic survival probability of random walks on a semi-infinite line. Pramana - J Phys 25, 231–238 (1985). https://doi.org/10.1007/BF02847666
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DOI: https://doi.org/10.1007/BF02847666
Keywords
- Random walks
- first passage time
- diffusion
- Monte-Carlo simulation
- radiation transport
- variance reduction techniques