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- W3103171823 abstract "Random walks with a general, nonlinear barrier have found recent applications ranging from reionization topology to refinements in the excursion set theory of halos. Here, we derive the first-crossing distribution of random walks with a moving barrier of an arbitrary shape. Such a distribution is shown to satisfy an integral equation that can be solved by a simple matrix inversion, without the need for Monte Carlo simulations, making this useful for exploring a large parameter space. We discuss examples in which common analytic approximations fail, a failure which can be remedied using the method described here." @default.
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- W3103171823 date "2006-04-20" @default.
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- W3103171823 title "On Random Walks with a General Moving Barrier" @default.
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- W3103171823 doi "https://doi.org/10.1086/499802" @default.
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