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Absolute Continuity of Brownian Bridges Under Certain Gauge Transformations

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dc.contributor.author Nahmod, Andrea R.
dc.contributor.author Rey-Bellet, Luc
dc.contributor.author Sheffield, Scott Roger
dc.contributor.author Staffilani, Gigliola
dc.date.accessioned 2012-07-26T17:36:33Z
dc.date.available 2012-07-26T17:36:33Z
dc.date.issued 2011-01
dc.date.submitted 2011-03
dc.identifier.issn 1073-2780
dc.identifier.issn 1945-001X
dc.identifier.uri http://hdl.handle.net/1721.1/71841
dc.description.abstract We prove absolute continuity of Gaussian measures associated to complex Brownian bridges under certain gauge transformations. As an application we prove that the invariant measure for the periodic derivative nonlinear Schr ¨odinger equation obtained by Nahmod, Oh, Rey-Bellet and Staffilani in [20], and with respect to which they proved almost surely global well-posedness, coincides with the weighted Wiener measure constructed by Thomann and Tzvetkov [24]. Thus, in particular we prove the invariance of the measure constructed in [24]. en_US
dc.language.iso en_US
dc.publisher International Press en_US
dc.relation.isversionof http://www.intlpress.com/_newsite/site/pub/pages/journals/items/mrl/content/vols/0018/0005/00020617/index.php en_US
dc.rights Creative Commons Attribution-Noncommercial-Share Alike 3.0 en_US
dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/ en_US
dc.source arXiv en_US
dc.title Absolute Continuity of Brownian Bridges Under Certain Gauge Transformations en_US
dc.type Article en_US
dc.identifier.citation Nahmod, Andrea R. et al."Absolute Continuity of Brownian Bridges Under Certain Gauge Transformations." Mathematical Research Letters, 18.5 (2011): 875–887. en_US
dc.contributor.department Massachusetts Institute of Technology. Department of Mathematics en_US
dc.contributor.approver Sheffield, Scott Roger
dc.contributor.mitauthor Sheffield, Scott Roger
dc.contributor.mitauthor Staffilani, Gigliola
dc.relation.journal Mathematical Research Letters en_US
dc.identifier.mitlicense OPEN_ACCESS_POLICY en_US
dc.eprint.version Author's final manuscript en_US
dc.type.uri http://purl.org/eprint/type/JournalArticle en_US
eprint.status http://purl.org/eprint/status/PeerReviewed en_US
dspace.orderedauthors Nahmod, Andrea R.; Rey-Bellet, Luc; Sheffield, Scott; Staffilani, Gigliola en_US


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