The Landau equation for Maxwellian molecules and the Brownian motion on SON(R)

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dc.contributor.authorDelarue, Françoisca
dc.contributor.authorMenozzi, Stéphaneca
dc.contributor.authorNualart, Eulàliaca
dc.date.accessioned2018-04-18T08:30:59Z
dc.date.available2018-04-18T08:30:59Z
dc.date.issued2015
dc.description.abstractIn this paper we prove that the spatially homogeneous Landau equation for Maxwellian moleculescan be represented through the product of two elementary stochastic processes. The first one is the Brownian motion on the group of rotations. The second one is, conditionally on the first one, a Gaussian process. Using this representation, we establish sharp multi-scale upper and lower bounds for the transition density of the Landau equation, the multi-scale structure depending on the shape of the support of the initial condition.en
dc.description.sponsorshipFor the second author, the article was prepared within the framework of a subsidy granted to the HSE by the Government of the Russian Federation for the implementation of the Global Competitiveness Program. Third author acknowledges support from the European Union programme FP7-PEOPLE-2012-CIG under grant agreement 333938.
dc.format.mimetypeapplication/pdf
dc.identifier.citationDelarue F, Menozzi S, Nualart E. The Landau equation for Maxwellian molecules and the Brownian motion on SON(R). Electron J Probab. 2015;20(92):[39 p.]. DOI: 10.1214/EJP.v20-4012
dc.identifier.doihttp://dx.doi.org/10.1214/EJP.v20-4012
dc.identifier.issn1083-6489
dc.identifier.urihttp://hdl.handle.net/10230/34386
dc.language.isoeng
dc.publisherInstitute of Mathematical Statistics (IMS)ca
dc.relation.ispartofElectronic Journal of Probability. 2015;20(92):[39 p.]
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/333938
dc.rightsThis article is published with a Creative Commons Attribution Licence (CC BY 2.5)
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by/2.5/legalcode
dc.subject.keywordLandau equation for Maxwellian moleculesen
dc.subject.keywordStochastic analysisen
dc.subject.keywordHeat kernel estimates on groupsen
dc.subject.keywordLarge deviationsen
dc.titleThe Landau equation for Maxwellian molecules and the Brownian motion on SON(R)ca
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/publishedVersion

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