Gravitation versus Brownian motion

dc.contributor.author	Banerjee, Sayan
dc.contributor.author	Burdzyb, Krzysztof
dc.contributor.author	Duarte, Mauricio
dc.date.accessioned	2023-10-26T14:09:16Z
dc.date.available	2023-10-26T14:09:16Z
dc.date.issued	2019
dc.description	Indexación: Scopus	es
dc.description.abstract	We 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.	es
dc.identifier.citation	Annales de l'institut Henri Poincare (B) Probability and Statistics Volume 55, Issue 3, Pages 1531 - 1565 2019	es
dc.identifier.doi	10.1214/18-AIHP927	en
dc.identifier.issn	0246-0203
dc.identifier.uri	https://repositorio.unab.cl/xmlui/handle/ria/53643
dc.language.iso	en	es
dc.publisher	Institute of Mathematical	es
dc.subject	Brownian motion	es
dc.subject	Gravitation	es
dc.subject	Inert drift	es
dc.subject	Local time	es
dc.subject	Total variation distance	es
dc.title	Gravitation versus Brownian motion	es
dc.type	Artículo	es

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