Banerjee, SayanBurdzyb, KrzysztofDuarte, Mauricio2023-10-262023-10-262019Annales de l'institut Henri Poincare (B) Probability and Statistics Volume 55, Issue 3, Pages 1531 - 1565 20190246-0203https://repositorio.unab.cl/xmlui/handle/ria/53643Indexación: ScopusWe investigate the motion of an inert (massive) particle being impinged from below by a particle performing (reflected) Brownian motion. The velocity of the inert particle increases in proportion to the local time of collisions and decreases according to a constant downward gravitational acceleration. We study fluctuations and strong laws of the motion of the particles. We further show that the joint distribution of the velocity of the inert particle and the gap between the two particles converges in total variation distance to a stationary distribution which has an explicit product form.enBrownian motionGravitationInert driftLocal timeTotal variation distanceArtículo10.1214/18-AIHP927