2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115346We survey distributional properties of $\mathbb{R}^d$-valued cocycles of finite measure preserving ergodic transformations (or, equivalently, of stationary random walks in $\mathbb{R}^d$) which determine recurrence or transience.Published at http://dx.doi.org/10.1214/074921706000000112 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)Dynamical SystemsProbability37A20, 60G50 (Primary)text