## Discrete Random Walks, DRW'03

### Cyril Banderier and Christian Krattenthaler (eds.)

### DMTCS Conference Volume AC (2003), pp. 27-38

author: | Yao-ban Chan and Anthony J. Guttmann |
---|---|

title: | Some results for directed lattice walkers in a strip |

keywords: | vicious walkers, friendly walkers, transfer matrix, walkers in a strip |

abstract: | 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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reference: | Yao-ban Chan and Anthony J.
Guttmann (2003), Some results for directed lattice walkers in
a strip, in Discrete Random Walks, DRW'03, Cyril
Banderier and Christian Krattenthaler (eds.), Discrete
Mathematics and Theoretical Computer Science Proceedings
AC, pp. 27-38 |

bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |

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