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000153823 1001_ $$0P:(DE-Juel1)131044$$aWuttke, Joachim$$b0$$eCorresponding Author$$ufzj
000153823 245__ $$aThe zig-zag walk with scattering and absorption on the real half line and in a lattice model
000153823 260__ $$aBristol$$bIOP Publ.$$c2014
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000153823 520__ $$aThe 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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