TY - Type of reference TI - Random walk on finite extensions of lattices AU - Vignon Oussa AB - 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. DO - 10.21494/ISTE.OP.2020.0582 JF - Advances in Pure and Applied Mathematics KW - random walk, semidirect groups, -nite extension, random walk, semidirect groups, -nite extension, L1 - https://www.openscience.fr/IMG/pdf/iste_apam21v12n1_4.pdf LA - en PB - ISTE OpenScience DA - 2021/01/5 SN - 1869-6090 TT - Marche aléatoire sur les extensions finies de réseaux UR - https://www.openscience.fr/Random-walk-on-finite-extensions-of-lattices IS - Issue 1 (January 2021) VL - 12 ER -