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Graduate Student Lunch Seminar November 05, 2015 (11:00 AM PST - 01:00 PM PST)
Parent Program:
Location: MSRI: Simons Auditorium

You will come with math questions related to the program and the group (with possibly a little bit of help from me) will try to answer them.  This might involve us reading some papers together and group members presenting them, each taking turns. Or we might bring in one of the local experts to give some fundamentals and promising directions for future research.  You may also want to show the group what you are working on.
The point is, you all will provide the direction we will go, and I will try to facilitate discussion.

Please let me know if you have suggestions/preferences.  For instance, you might want to avoid going through lunch, which is fine by me. Start by sending me an email, indicating your willingness (or not) to participate and ideas you might have.

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Dear friends,

here's the topic of the next graduate student lunch meeting:

The idea is to further explore the concept of "invariant measure" associated to the flow of a Hamiltonian PDE. The starting point would be Burq-Tzvetkov's 2007 "Invariant measure for a 3d nonlinear wave equation" and some ideas from Deng-Tzvetkov-Visciglia's "Invariant measures and long time behavior for the Benjamin-Ono equation" (depending on my reading speed).

I have chosen those papers based on the following considerations. The paper by Burq and Tzvetkov is the first in their series of papers on the randomized approach to the wave equation, and it looks easier to read than the others. My hope is that it will provide some insight into the construction of invariant measures without too many technical complications. The paper by Deng, Tzvetkov and Visciglia is interesting because it obtains information on an infinite-dimensional flow by using an invariant measure and the Poincare's recurrence theorem. This is an idea that we have never seen in previous meetings.

As usual you will find the bibliography at the following Dropbox link:


All the best



Hi, this sounds good.

I also suggest finish reading the previous paper of Bourgain,

We are still left with several "harder" case.

I think it will be rewarding to finish this.

If people are interested, I can also try to do a presentation.



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