Manuel Kauers, Rika Yatchak,
"Walks in the Quarter Plane with Multiple Steps"
, Serie RISC, RISC, JKU, Hagenberg, Linz, 11-2014
Walks in the Quarter Plane with Multiple Steps
Sprache des Titels:
We extend the classification of nearest neighbour walks in the quarter plane to models in which multiplicities 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.