27th International Conference on Formal Power Series and Algebraic Combinatorics
Sprache des Tagungstitel:
We extend the classification of nearest neighbour walks in the quarter plane to models in which multi-
plicities are attached to each direction in the step set. Our study leads to a small number of infinite families that
completely characterize all the models whose associated group is D4, D6, or D8. These families cover all the models
with multiplicites 0, 1, 2, or 3, which were experimentally found to be D-finite ? with three noteworthy exceptions.