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001     153823
005     20210129213809.0
024 7 _ |a 10.1088/1751-8113/47/21/215203
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024 7 _ |a 0305-4470
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037 _ _ |a FZJ-2014-03303
082 _ _ |a 530
100 1 _ |a Wuttke, Joachim
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245 _ _ |a The zig-zag walk with scattering and absorption on the real half line and in a lattice model
260 _ _ |a Bristol
|c 2014
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336 7 _ |a Journal Article
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520 _ _ |a The Darwin?Hamilton equations, describing one-dimensional transport with scattering and absorption, are expanded into a recursion. The solution involves ballot numbers. The recurrence probability as function of scattering order is given by Catalan numbers. To reproduce this analytical result in a lattice model, a novel relation between Narayana and Catalan numbers is derived.
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773 _ _ |a 10.1088/1751-8113/47/21/215203
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856 4 _ |z Published final document.
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