@ARTICLE{10.21494/ISTE.OP.2020.0582, 

TITLE={Marche aléatoire sur les extensions finies de réseaux}, 
  
AUTHOR={Vignon Oussa, }, 
	
JOURNAL={Avancées en Mathématiques Pures et Appliquées}, 
	
VOLUME={12}, 

NUMBER={Numéro 1 (Janvier 2021)}, 
	
YEAR={2021}, 

URL={http://www.openscience.fr/Marche-aleatoire-sur-les-extensions-finies-de-reseaux}, 
	
DOI={10.21494/ISTE.OP.2020.0582}, 
	
ISSN={1869-6090}, 
	
ABSTRACT={We obtain a precise formula for the probability that a random walker returns to the origin after n steps on some semi-direct product groups obtained by extending a Euclidean lattice by a finite group. Prior to this work, to the best of our knowledge, for the class of groups considered, only asymptotic estimates were available in the literature.}}