Speaker：

Konstantin Khanin

University of Toronto

Time：

Tuesday & Wednesday 15:20-16:55

Sep.18-Dec.11, 2024

Venue：

B725, Shuangqing Complex Building

清华大学双清综合楼A座 B725

Online：

Zoom: 482 240 1589

Password: BIMSA

Description:

The ideas of renormalization were introduced into the theory of dynamical systems by M. Feigenbaum almost 50 years ago. By now renormalization is one of the main methods of studying asymptotic behavior of dynamical systems.

In this course we will introduce the ideas of the renormalization theory in different settings, including unimodal maps, homeomorphisms of the unit circle, KAM theory to name a few. We shall also discuss Ergodic theory aspects of renormalization, the thermodynamic formalism, and basic results in the theory of hyperbolic dynamical systems. It is expected that by the end of the course students will be able to take on research projects focused on renormalization and related problems.