Small mass limit of a langevin equation on a manifold

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dc.citation.epage755en_US
dc.citation.issueNumber2en_US
dc.citation.spage707en_US
dc.citation.volumeNumber18en_US
dc.contributor.authorBirrell, J.en_US
dc.contributor.authorHottovy, S.en_US
dc.contributor.authorVolpe, G.en_US
dc.contributor.authorWehr, J.en_US
dc.date.accessioned2018-04-12T10:38:07Z
dc.date.available2018-04-12T10:38:07Z
dc.date.issued2017-02en_US
dc.departmentInstitute of Materials Science and Nanotechnology (UNAM)en_US
dc.departmentDepartment of Physicsen_US
dc.description.abstractWe study damped geodesic motion of a particle of mass m on a Riemannian manifold, in the presence of an external force and noise. Lifting the resulting stochastic differential equation to the orthogonal frame bundle, we prove that, as m→ 0 , its solutions converge to solutions of a limiting equation which includes a noise-induced drift term. A very special case of the main result presents Brownian motion on the manifold as a limit of inertial systems.en_US
dc.description.provenanceMade available in DSpace on 2018-04-12T10:38:07Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 179475 bytes, checksum: ea0bedeb05ac9ccfb983c327e155f0c2 (MD5) Previous issue date: 2017en
dc.identifier.doi10.1007/s00023-016-0508-3en_US
dc.identifier.issn1424-0637
dc.identifier.urihttp://hdl.handle.net/11693/36382
dc.language.isoEnglishen_US
dc.publisherBirkhauser Verlag AGen_US
dc.relation.isversionofhttps://doi.org/10.1007/s00023-016-0508-3en_US
dc.source.titleAnnales Henri Poincareen_US
dc.titleSmall mass limit of a langevin equation on a manifolden_US
dc.typeArticleen_US

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