TY  - JOUR
AU  - Wuttke, Joachim
TI  - The zig-zag walk with scattering and absorption on the real half line and in a lattice model
JO  - Journal of physics / A
VL  - 47
IS  - 21
SN  - 1751-8121
CY  - Bristol
PB  - IOP Publ.
M1  - FZJ-2014-03303
SP  - 215203 -
PY  - 2014
AB  - 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.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000336718700008
DO  - DOI:10.1088/1751-8113/47/21/215203
UR  - https://juser.fz-juelich.de/record/153823
ER  -