Small mass limit of a langevin equation on a manifold
dc.citation.epage | 755 | en_US |
dc.citation.issueNumber | 2 | en_US |
dc.citation.spage | 707 | en_US |
dc.citation.volumeNumber | 18 | en_US |
dc.contributor.author | Birrell, J. | en_US |
dc.contributor.author | Hottovy, S. | en_US |
dc.contributor.author | Volpe, G. | en_US |
dc.contributor.author | Wehr, J. | en_US |
dc.date.accessioned | 2018-04-12T10:38:07Z | |
dc.date.available | 2018-04-12T10:38:07Z | |
dc.date.issued | 2017-02 | en_US |
dc.department | Institute of Materials Science and Nanotechnology (UNAM) | en_US |
dc.department | Department of Physics | en_US |
dc.description.abstract | We 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.provenance | Made 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: 2017 | en |
dc.identifier.doi | 10.1007/s00023-016-0508-3 | en_US |
dc.identifier.issn | 1424-0637 | |
dc.identifier.uri | http://hdl.handle.net/11693/36382 | |
dc.language.iso | English | en_US |
dc.publisher | Birkhauser Verlag AG | en_US |
dc.relation.isversionof | https://doi.org/10.1007/s00023-016-0508-3 | en_US |
dc.source.title | Annales Henri Poincare | en_US |
dc.title | Small mass limit of a langevin equation on a manifold | en_US |
dc.type | Article | en_US |
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