3 papers
math.GM2022
Convergence of some perturbed sequences of rational powers and application to syracuse problem
Hassan Douzi
Sequences of rational powers \left( ξ\left( \frac{p}{q} \right)^{n} \right)_{n\ge 0}, especially in the case \frac{p}{q}=\frac{3}{2}, have a connection with many important combinat…
math.DS2015
A Contribution in the Rotor-router model
Hassan Douzi
In this paper I propose to approach the Rotor-router problem by considering it as one example of a big family of many other similar models. The study of some specific samples of th…
math.CO2015
Combinatorics of a fractal tiling family
Hassan Douzi
In this paper, we propose to enumerate all different configurations belonging to a specific class of fractals: A binary initial tile is selected and a finite recursive tiling proce…