Gravitation versus Brownian motion

dc.creatorBanerjee, Sayan
dc.creatorBurdzyb, Krzysztof
dc.creatorDuarte, Mauricio
dc.date.accessioned2023-10-26T14:09:16Z
dc.date.accessioned2024-05-02T14:50:25Z
dc.date.available2023-10-26T14:09:16Z
dc.date.available2024-05-02T14:50:25Z
dc.date.created2023-10-26T14:09:16Z
dc.date.issued2019
dc.identifierAnnales de l'institut Henri Poincare (B) Probability and Statistics Volume 55, Issue 3, Pages 1531 - 1565 2019
dc.identifier0246-0203
dc.identifierhttps://repositorio.unab.cl/xmlui/handle/ria/53643
dc.identifier10.1214/18-AIHP927
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/9259196
dc.description.abstractWe 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.
dc.languageen
dc.publisherInstitute of Mathematical
dc.subjectBrownian motion
dc.subjectGravitation
dc.subjectInert drift
dc.subjectLocal time
dc.subjectTotal variation distance
dc.titleGravitation versus Brownian motion
dc.typeArtículo


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