A Solution to the Tennis Ball Problem (2008)
Séries Formelles, Combinatoire Algébrique, Anna De Mier, Marc Noy
Abstract. We present a complete solution to the so-called tennis ball problem, which is equivalent to counting lattice paths in the plane that use North and East steps and lie between certain...
Lattice and Schröder paths with periodic boundaries (2007)
Anna De Mier, Xinyu Sun, Catherine Yan
Key words and phrases. Lattice path, Schröder path, parking function, Appell relation,
Lattice path matroids: enumerative aspects and Tutte polynomials (2003)
Joseph E. Bonin, Anna De Mier, Marc Noy
Abstract. Fix two lattice paths P and Q from (0, 0) to (m, r) that use East and North steps with P never going above Q. We show that the lattice paths that go from (0, 0) to (m, r) and that remain in...