Absolute Continuity of Brownian Bridges Under Certain Gauge Transformations

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. Dept. 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