Absolute Continuity of Brownian Bridges Under Certain Gauge Transformations
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...
Main Authors: | , , , |
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Other Authors: | |
Format: | Article |
Language: | en_US |
Published: |
International Press
2012
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Online Access: | http://hdl.handle.net/1721.1/71841 https://orcid.org/0000-0002-5951-4933 https://orcid.org/0000-0002-8220-4466 |