14 citations · 87 across the 22 of their papers we have counts for
27 papers
Enumerative and Distributional Results for -combining Tree-Child Networks
Yu-Sheng Chang, Michael Fuchs, Hexuan Liu +2
Tree-child networks are one of the most prominent network classes for modeling evolutionary processes which contain reticulation events. Several recent studies have addressed count…
Enumeration of -combining Tree-Child Networks
Yu-Sheng Chang, Michael Fuchs, Hexuan Liu +2
Tree-child networks are one of the most prominent network classes for modeling evolutionary processes which contain reticulation events. Several recent studies have addressed count…
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…
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…
Phase transitions of composition schemes: Mittag-Leffler and mixed Poisson distributions
Cyril Banderier, Markus Kuba, Michael Wallner
Multitudinous probabilistic and combinatorial objects are associated with generating functions satisfying a composition scheme . The analysis becomes challenging when…
The binary digits of n+t
Lukas Spiegelhofer, Michael Wallner
The binary sum-of-digits function counts the number of ones in the binary expansion of a nonnegative integer. For any nonnegative integer , T.~W.~Cusick defined the asymptot…