Dynamics of renormalization operators

Monday, February 8, 2010 -
4:00pm to 6:00pm
It is a remarkable characteristic of some classes of low-dimensional dynamical systems that their long time behavior at a short spatial scale is described by an induced dynamical system in the same class. The renormalization operator that relates the original and the induced transformations can then be iterated. We will discuss how features (such as hyperbolicity) of this "dynamics in parameter space" impact the underlying systems, especially in the case of typical parameters.
Speaker: 
Artur Avila
Director of Research, Instituto Nacional de Matemática Pura e Aplicada (IMPA)
Event Location: 
Fine Hall 214