Pisa lectures on Lyapunov exponents

Jairo Bochi | Viana, Marcelo

Keywords: Lyapunov Exponents | linear cocycles | symplectic maps | volume preserving maps

These notes cover the course we taught at the research trimester on Dynamical Systems organized by Stefano Marmi at the Centro di Ricerca Matematica Ennio di Giorgi/Scuola Normale Superiore di Pisa in the Spring of 2002. We are grateful to Stefano for the invitation and all the effort he devoted to the trimester, and to the Scuola Normale for its most charming hospitality. The purpose of our course was to present certain recent results, mostly by Bochi, bonmatti, Gomez-Mont, Viana, about the Lyapunov exponents of generic dynamical systems and linear cocycles. Since the proofs are long and complex, we aimed at giving fairly complete outlines, which could serve as an introduction to the complete arguments in those papers.

Anexos:

• pisa.ps