3 papers
math.CO2016
A half-normal distribution scheme for generating functions and the unexpected behavior of Motzkin paths
Michael Wallner
We present an extension of a theorem by Michael Drmota and Michèle Soria [Images and Preimages in Random Mappings, 1997] that can be used to identify the limiting distribution for…
cs.DM2016
Lattice paths of slope 2/5
Cyril Banderier, Michael Wallner
We analyze some enumerative and asymptotic properties of Dyck paths under a line of slope 2/5.This answers to Knuth's problem \\#4 from his "Flajolet lecture" during the conference…
cs.DM2016
Some reflections on directed lattice paths
Cyril Banderier, Michael Wallner
This article analyzes directed lattice paths, when a boundary reflecting or absorbing condition is added to the classical models. The lattice paths are characterized by two time-in…