Titre : Random walk on finite extensions of lattices 

Auteurs : Vignon Oussa,  

Revue : Advances in Pure and Applied Mathematics 

Numéro : Issue 1 (January 2021) 

Volume : 12 

Date : 2021/01/5 

DOI : 10.21494/ISTE.OP.2020.0582 

ISSN : 1869-6090 

Résumé : 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. 

Éditeur : ISTE OpenScience