Prerequisitebasic knowledge of measure theory, functional analysis and Riemannian manifoldAbstractStatistical properties of dynamical systems are always of high interest because they may eventually pave the way for the global understanding of chaotic systems. This course will introduce the notion of transfer operator and decay of correlations for symbolic dynamics, expanding maps and uniformly ...
Lecturer: Konstantin Khanin (Professor)Time: Tue,Wed 15:20-16:55Venue: YMSC-B725Zoom: 482 240 1589Password: BIMSAIntroductionThe 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...