This version of Talks.cam will be replaced by 1 July 2026, further information is available on the UIS Help Site
 

University of Cambridge > Talks.cam > Geometric Analysis & Partial Differential Equations seminar > Invariant Gibbs measures for the defocusing NLS on the real line

  Browse A-Z

Log in

Cambridge users (raven)details Other usersdetails No account?details

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

Invariant Gibbs measures for the defocusing NLS on the real line

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact .

In 1994, Bourgain constructed invariant Gibbs measures for NLS on the circle. Then, in 2000, he considered the limit of these invariant statistics, by taking larger and lager periods, and constructed unique solutions for the defocusing (sub-)cubic NLS on the real line. His result, however, focuses on the construction of solutions and does not discuss the limiting Gibbs measures on the real line or their invariance.

In this talk, we construct Gibbs measures for the defocusing NLS on the real line as a stationary diffusion process in x. Then, we show that these Gibbs measures are invariant for the defocusing (sub-)quintic NLS on the real line. We also discuss the limit Gibbs measures for the Dirichlet boundary value problem on the real line as well as the half line, allowing us to construct new rough solutions in these settings.

This is a joint work with Jeremy Quastel (University of Toronto) and Philippe Sosoe (Harvard University).

This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Type the title of a new list here CASP seminar series Milcho Manchevski in Cambridge Design and use of chemical tools to modulate gene expression in cancer cells based on the targeting of DNA methyltransferase Centre for Health Leadership and Enterprise Cambridge DOCking Station

Other talks

Cambridge Rare Disease Summit 2017 Calcium signalling in bipolar disorder - new twists to an old story Hide and seek: medieval creatures on the manuscript page The Exposome in Epidemiological Practice CANCELLED in solidarity with strike action: Permanent Sovereignty over Natural Resources and the Unsettling of Mainstream Narratives of International Legal History Art and Migration Statistical Methods in Pre- and Clinical Drug Development: Tumour Growth-Inhibition Model Example Coin Betting for Backprop without Learning Rates and More 'Cambridge University, Past and Present' A passion for pottery: a photographer’s dream job
 

© 2006-2026 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity