Absolute continuity of Brownian bridges under certain gauge transformations

Details Absolute continuity of Brownian bridges under certain gauge transformations Absolute continuity of Brownian bridges under certain gauge transformations

2011-03-24

arxiv.org/abs/1103.4822v1

Mathematics

Analysis of PDEs

12 pages. Submitted

Scientific paper

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].

Affiliated with

Also associated with

No associations

Rating

Absolute continuity of Brownian bridges under certain gauge transformations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Absolute continuity of Brownian bridges under certain gauge transformations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Absolute continuity of Brownian bridges under certain gauge transformations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-48878