3 papers
math.CO2026
Combinatorics and Asymptotics of Positive Systems of Linear Catalytic Equations
Cyril Banderier, Michael Drmota
We provide a complete combinatorial and asymptotic analysis of positive linear systems of equations in one catalytic variable that appear in several combinatorial problems such as…
math.PR2024
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…
math.CO2024
Composition schemes: q-enumerations and phase transitions
Cyril Banderier, Markus Kuba, Stephan Wagner +1
Composition schemes are ubiquitous in combinatorics, statistical mechanics and probability theory. We give a unifying explanation to various phenomena observed in the combinatorial…