Walks in the Quarter Plane with Multiple Steps

Description

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.

Period	09 Jul 2015
Event title	27th International Conference on Formal Power Series and Algebraic Combinatorics
Event type	Conference
Location	Korea, Republic ofShow on map