3 papers
math.NT2026
Asymptotic expansions of integrals and Nielsen's polylogarithms
Markus Kuba, Moti Levy
This article derives full asymptotic expansions for integrals of the form \[ \int_{0}^{1}f(u)(1+q\cdot u^{n})^{w/n}du \] as , with parameters real and…
math.CO2025
Gibbs partitions and lattice paths
Niccolò Bosio, Markus Kuba, Benedikt Stufler
This work is devoted to the analysis of a Gibbs partition model, also known as a composition scheme. We consider a natural new condition on the component weights. It leads to a new…
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…