Constant term solution for an arbitrary number of osculating lattice paths
Mathematical Physics
2014-02-12 v3 Statistical Mechanics
Combinatorics
math.MP
Abstract
Osculating paths are sets of directed lattice paths which are not allowed to cross each other or have common edges, but are allowed to have common vertices. In this work we derive a constant term formula for the number of such lattice paths by solving a set of simultaneous difference equations.
Cite
@article{arxiv.1207.5268,
title = {Constant term solution for an arbitrary number of osculating lattice paths},
author = {R. Brak and W. Galleas},
journal= {arXiv preprint arXiv:1207.5268},
year = {2014}
}
Comments
Added an example. Accepted for publication in Letters in Mathematical Physics