4 papers
Singularly perturbed discrete differential equations
Michael Drmota, Eva-Maria Hainzl
Discrete differential equations appear most prominently in planar map and lattice path enumeration. In this work we consider discrete differential equations with an additional para…
Asymptotic Transfer in Critical Recursive Composition Schemes
Michael Drmota, Zéphyr Salvy
The composition of two combinatorial classes and is a standard combinatorial construction and translates into the compos…
Digital functions along Squares of Prime Numbers
Michael Drmota, Joël Rivat
In the last 20 years the Gelfond conjectures concerning the well distribution of the sum-of-digits function along prime numbers and along squares have been solved and these results…
Modelling Silicosis: The Structure of Equilibria
Fernando P. da Costa, Michael Drmota, Michael Grinfeld
We analyse the structure of equilibria of a coagulation-fragmentation-death model of silicosis. We present exact multiplicity results in the particular case of piecewise-constant c…