For those of you who would like to read more about the basics of applied ergodic theory that I talked about in 703 today, there are a few accessible papers and books below the fold. You are always very welcome to send me an e-mail or drop by my office (VV517) if you want to talk more about any of the papers or the topic in general.
Please e-mail me if any of the links below the fold don’t work, or if you have trouble locating the pdfs for the papers.
Here’s a simple demonstration of Arnold’s Cat Map. V.I. Arnold, a cool cat himself, figured out, decades before the age of the internet, that putting an image of a kitteh in your research vastly increases its appeal.
Van Vleck Hall, 9th floor lounge
In Aug 2013 I have started a Van Vleck VAP (postdoc) position at UW-Madison math department
, working with Jean-Luc Thiffeault
. My main project deals with braid theory of dynamical systems. For more details, please see the research page
These are the slides (pdf) of the presentation I delivered at the biannual SIAM Dynamical Systems meeting at Snowbird in MS120 minisymposium I coorganized with Tim Sauer.
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: