Mathematical Sciences Research Institute

Home » Workshop » Schedules » Optimal transport and dynamics of expanding circle maps

Optimal transport and dynamics of expanding circle maps

Introductory Workshop on Optimal Transport: Geometry and Dynamics August 26, 2013 - August 30, 2013

August 29, 2013 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Benoît Kloeckner (Université de Grenoble I (Joseph Fourier))
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC

Abstract - Expanding circle maps are arguably the simplest examples of discrete-time dynamical systems on manifolds exhibiting a chaotic behavior. The goal of the talk will be to explain in this simple context how tools from optimal transport can shed new light on dynamical systems. More precisely, we will compute the derivative of the action on measures of an expanding circle map, at its absolutely continuous invariant measure, and study its spectral properties. Optimal transport is used to define the derivative, following the intuition of Otto and the framework of Gigli
18143?type=thumb v1145 190 KB application/pdf Download
Video/Audio Files


H.264 Video v1145.m4v 288 MB video/mp4 rtsp://videos.msri.org/data/000/017/649/original/v1145.m4v Download
Quicktime v1145.mov 417 MB video/quicktime rtsp://videos.msri.org/data/000/017/650/original/v1145.mov Download
Buy the DVD

If none of the options work for you, you can always buy the DVD of this lecture. The videos are sold at cost for $20USD (shipping included). Please Click Here to send an email to MSRI to purchase the DVD.

See more of our Streaming videos on our main VMath - Streaming Video page.