In the framework of the continuous time random walk (CTRW), we center our attention on the role of the distribution of stepping times. As an application, we analyze both the meanhyphen;squared distance traveled and the probability for a walker to be trapped by randomly distributed traps. As a function of the stepping time distribution, we find that trapping shows a rich time dependence and that the onset of the asymptotic behavior for diffusion and for trapping may occur on widely different time scales.
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