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Some results for directed lattice 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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https://hal.inria.fr/hal-01183936
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Yao-Ban Chan, Anthony J. Guttmann. Some results for directed lattice walkers in a strip. Discrete Random Walks, DRW'03, 2003, Paris, France. pp.27-38. ⟨hal-01183936⟩

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