This week I’m enjoying my stay at MF Oberwolfach, for the workshop 1309 on Structured Functions. We were asked to deliver a short intro to our research that brought us here, so here’s my contribution [pdf]. This is joint work with Mihai Putinar, and I have already mentioned it on this website.
Handwritten (by tradition) abstract in the archival book at MFO, describing my lecture delivered at MFO Workshop 1309. No slides – it was a chalkie!
UPDATE (2012-12-21): The paper [link] has appeared in AIP Chaos under DOI 10.1063/1.4772195 with one of images making the front page (shown).
UPDATE (2012-12-03): The final draft (arXiv:1206.3164) has been accepted by AIP Chaos and is due to be published in Dec 2012, in Focus issue on 50 years of chaos.
UPDATE (2012-10-14): The revised version of the manuscript is available at arXiv now.
(2012-06-14) A review paper on applications of Koopman operator analysis to dynamical systems, co-authored with Ryan Mohr and Igor Mezić has been submitted for publication to AIP Chaos. The preprint is available on arXiv: “Applied Koopmanism“.
Julia Collins, a mathematician at U of Edinburgh, maintains a website that showcases photos of mathematicians’ black- and whiteboards. She published mine! Check it out here:
What’s on my whiteboard (Sep 2012)
From Chuck Akemann’s class homework
Below are the presentation slides from my talk “Visualization of invariant sets in incompressible fluid flows from Lagrangian data”. The links to the referenced articles:
2012-03-16: Dr. Mihai Putinar and I have completed a paper on entropy optimization of singular measures. The pre-print is available on arXiv:
Conditioning moments of singular measures for entropy optimization. I
2012-11-05 UPDATE: The paper has been officially published by Indagationes Mathematicae: DOI: 10.1016/j.indag.2012.05.008
These are the slides from my 25min talk in OS2 session at 9th International Conference on Fluid Dynamics, Sendai, Japan, Sep 20, 2012. The talk contained some embedded movies which could not be displayed here. Relevant references:
With my advisor, Igor Mezic, and UCSB Chancellor, Henry Yang
On Aug 30, 2012, I have finally defended my PhD dissertation: Ergodic Quotients in Analysis of Dynamical Systems (large pdf). I am going to stay on with Igor Mezic for the next year as a postdoctoral researcher.
The video of the presentation (export from Keynote, advance slides by clicking):