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math.CO2026
The Weighted Walks in Quadrant with Finite Groups: an Algebro-Geometric Approach
Vladimir Dragovic, Milena Radnovic
We classify weighted small-step lattice walks in the quadrant whose associated birational group is finite. Using an algebro-geometric description of the kernel curves and Cayley-ty…
math.CO2019
Combinatorics of periodic ellipsoidal billiards
George E. Andrews, Vladimir Dragovic, Milena Radnovic
We study combinatorics of billiard partitions which arose recently in the description of periodic trajectories of ellipsoidal billiards in d-dimensional Euclidean and pseudo-Euclid…