Abstract
We consider a one-dimensional random chain where the probabilities of taking steps to the right (or left) at any site are identically distributed independent random variables, having the distribution p(${p}_{i}$)=0.5\ensuremath{\delta}(${p}_{i}$-\ensuremath{\alpha}) +0.5\ensuremath{\delta}(${p}_{i}$-1+\ensuremath{\alpha}). Furthermore, this chain contains a random distribution of traps. We compute upper and lower bounds for the asymptotic survival probability. We show that this follows a power law and that the bounds agree as far as the exponent of t is concerned.
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