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: | Nahmod, Andrea, Rey-Bellet, Luc, Sheffield, Scott Roger, Staffilani, Gigliola |
---|---|
Other Authors: | Massachusetts Institute of Technology. Department of Mathematics |
Format: | Article |
Language: | en_US |
Published: |
International Press
2012
|
Online Access: | http://hdl.handle.net/1721.1/71841 https://orcid.org/0000-0002-5951-4933 https://orcid.org/0000-0002-8220-4466 |
Similar Items
-
Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS
by: Nahmod, Andrea, et al.
Published: (2013) -
Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space
by: Nahmod, Andrea, et al.
Published: (2018) -
Randomness and Nonlinear Evolution Equations
by: Nahmod, Andrea, et al.
Published: (2020) -
Almost Sure Existence of Global Weak Solutions for Supercritical Navier--Stokes Equations
by: Nahmod, Andrea, et al.
Published: (2014) -
Liouville quantum gravity and the Brownian map II: Geodesics and continuity of the embedding
by: Miller, Jason, et al.
Published: (2022)