Topics on dynamical systems
An introduction to Teichmuller dynamics: interval exchange transformations, translation surfaces, Rauzy-Veech induction, Kontsevich-Zorich cocycle.
Lyapounov exponents. Spectrum of the Kontsevich-Zorich cocycle. Deviation of ergodic averages.
An introduction to renormalization in holomorphic dynamics: parabolic renormalization, Douady-Ghys-Yoccoz renormalization
Yoccoz's and Avila's notes in Homogenous Flows, Moduli Spaces and Arithmetic, Clay Mathematics Proceedings, Vol. 10 (2010)