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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