Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Nicolas Gourmelon (Université de Bordeaux)

Simons Semester on Dynamics via YouTube

Overview

Explore a lecture on total renormalizations of perturbations of identity presented by Nicolas Gourmelon from Université de Bordeaux as part of the Simons Semester on Dynamics. Delve into the concept of total renormalization, defined as a transformation F: X → X conjugate to the first return of f to a domain ∆ whose orbit covers X, with the Rauzy-Veech induction on IETs given as an example. Discover the main result showing that any F ∈ Diff^∞_0(S^1 × M) is a total renormalization C^∞-close to identity maps, implying that all global dynamics exist arbitrarily C^∞-close to identity. Learn how this finding generalizes previous local results by Turaev, expanding our understanding of dynamical systems and their perturbations.

Syllabus

Nicolas Gourmelon (Université de Bordeaux)

Taught by

Simons Semester on Dynamics

Reviews

Start your review of Nicolas Gourmelon (Université de Bordeaux)

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.