Geodesic
Some results for directed lattice walkers in a strip
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03), DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03) (2003).

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Using a transfer matrix method, we present some results for directed lattice walkers in a horizontal strip of finite width. Some cases with two walkers in a small width are solved exactly, as are a couple of cases with vicious walkers in a small width; a conjecture is made for a case with three walkers. We also derive the general transfer matrix for two walkers. Lastly, we examine the dependence of the growth constant on the width and friendliness. 
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     author = {Chan, Yao-Ban and Guttmann, Anthony J.},
     title = {Some results for directed lattice walkers in a strip},
     journal = {Discrete mathematics & theoretical computer science},
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     year = {2003},
     doi = {10.46298/dmtcs.3341},
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     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3341/}
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Chan, Yao-Ban; Guttmann, Anthony J. Some results for directed lattice walkers in a strip. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03), DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03) (2003). doi : 10.46298/dmtcs.3341. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3341/

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