2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156252We show that the "twisted" planar random walk - which results by summing up stationary increments rotated by multiples of a fixed angle - is recurrent under diverse assumptions on the increment process. For example, if the increment process is alpha-mixing and of finite second moment, then the twisted random walk is recurrent for every angle fixed choice of the angle out of a set of full Lebesgue measure, no matter how slow the mixing coefficients decay.11 pagesDynamical SystemsProbability37A20; 37A25; 37A50; 60G10; 60G50text