3 papers
math.CO2024
Fast construction of self-avoiding polygons and efficient evaluation of closed walk fractions on the square lattice
Jean Fromentin, Pierre-Louis Giscard, Yohan Hosten
We build upon a recent theoretical breakthrough by employing novel algorithms to accurately compute the fractions of all closed walks on the infinite square lattice whose the…
math.PR2023
On the variation of the sum of digits in the Zeckendorf representation: an algorithm to compute the distribution and mixing properties
Yohan Hosten
We study probability measures defined by the variation of the sum of digits in the Zeckendorf representation. For and , we consider the densit…
math.PR2021
A central limit theorem for the variation of the sum of digits
Yohan Hosten, Élise Janvresse, Thierry de la Rue
We prove a Central Limit Theorem for probability measures defined via the variation of the sum-of-digits function, in base . For and , we conside…