Event Date
2012-02-20
Event Time
02:30 pm ~ 03:20 pm
Event Location
Wachman 617
Abstract: I will give an introduction to the renormalization theory of area-preserving maps, and present several recent results about the dynamics in a neighbourhood of the fixed point of the period doubling renormalization operator: $F\to\Lambda^{−1}\circ F\circ F\circ\Lambda$, where $\Lambda$ is a diagonal matrix. The results are based on a detailed study of the spectral properties of the derivative of the renormalization operator. The talk is based on joint work with Denis Gaidashev and Marco Martens.