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7

JCT
2008

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Partially directed paths in a wedge

13 years 4 months ago

Partially directed paths in a wedge

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The enumeration of lattice paths in wedges poses unique mathematical challenges. These models are not translationally invariant, and the absence of this symmetry complicates both the derivation of a functional recurrence for the generating function, and solving for it. In this paper we consider a model of partially directed walks from the origin in the square lattice confined to both a symmetric wedge defined by Y =

E. J. Janse van Rensburg, T. Prellberg, A. Rechnit

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Functional Recurrence | Generating Function | JCT 2008 | Lattice Paths |

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Added	13 Dec 2010
Updated	13 Dec 2010
Type	Journal
Year	2008
Where	JCT
Authors	E. J. Janse van Rensburg, T. Prellberg, A. Rechnitzer

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