7 citations · 7 across the 3 of their papers we have counts for
4 papers
Automated positive part extraction for lattice path generating functions in the octant
Rika Yatchak
The question of classifying the nature of the generating functions of restricted lattice walks has enjoyed much attention in past years. We prove that a certain class of octant wal…
Continued Classification of 3D Lattice Walks in the Positive Octant
Axel Bacher, Manuel Kauers, Rika Yatchak
We continue the investigations of lattice walks in the three dimensional lattice restricted to the positive octant. We separate models which clearly have a D-finite generating func…
Walks in the Quarter Plane with Multiple Steps
Manuel Kauers, Rika Yatchak
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…
Moving robots efficiently using the combinatorics of CAT(0) cubical complexes
Federico Ardila, Tia Baker, Rika Yatchak
Given a reconfigurable system X, such as a robot moving on a grid or a set of particles traversing a graph without colliding, the possible positions of X naturally form a cubical c…