Geodesic
Counting Upper Interactions in Dyck Paths
Séminaire lotharingien de combinatoire, Tome 54 (2006-2007)

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Upper and lower interactions are parameters of Dyck paths which are motivated by corresponding parameters in a model of partially directed polymers. We investigate the problem of obtaining the generating function for Dyck paths with respect to upper interactions in terms of basic hypergeometric q-series in which an algebraic term occurs. 

@article{SLC_2006-2007_54_a5,
     author = {Yvan Le Borgne},
     title = {Counting {Upper} {Interactions} in {Dyck} {Paths}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {54},
     year = {2006-2007},
     url = {http://geodesic.mathdoc.fr/item/SLC_2006-2007_54_a5/}
}
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Yvan Le Borgne. Counting Upper Interactions in Dyck Paths. Séminaire lotharingien de combinatoire, Tome 54 (2006-2007). http://geodesic.mathdoc.fr/item/SLC_2006-2007_54_a5/