Seminars & Colloquia Calendar
Ergodic theory and the geometry of high-dimensional metric spaces
Tim Austin: Courant Institute
Location: Hill 705
Date & time: Friday, 03 March 2017 at 4:00PM - 4:11PM
The proofs of these more advanced results requires a delicate investigation of the finite-dimensional marginals of the shift-system, regarded as a sequence of discrete probability spaces endowed with their Hamming metrics. It turns out that other ergodic theoretic consequences are related to open problems on the possible structure of such discrete `metric probability spaces'. After sketching the history of this area, I will describe some of these connections.
This talk will require a knowledge of basic real analysis and some measure theory, and some simple probability theory will be helpful. I will not assume anything from dynamics or ergodic theory.