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math.CO2021★ 1 cited
Walks avoiding a quadrant and the reflection principle
Mireille Bousquet-Mélou, Michael Wallner
We continue the enumeration of plane lattice walks with small steps avoiding the negative quadrant, initiated by the first author in 2016. We solve in detail a new case, namely the…
math.CO2021
On the critical exponents of generalized ballot sequences in three dimensions and large tandem walks
Michael Wallner
We answer some questions on the asymptotics of ballot walks raised in [Personal Journal Shalosh B Ekhad and Doron Zeilberger, Apr 5, 2021; see also arXiv:2104.01731] and prove that…