Bochi, Jairo; Viana, Marcelo Pisa lectures on Lyapunov exponents. (English) Zbl 1070.37014 Dynamical systems. Part II. Topological, geometrical and ergodic properties of dynamics. Selected papers from the Research Trimester held in Pisa, Italy, February 4–April 26, 2002. Pisa: Scuola Normale Superiore. Pubblicazioni del Centro di Ricerca Matematica Ennio de Giorgi. Proceedings, 23-47 (2003). The authors deal with the following two fundamental problems: a) How do Lyapunov exponents vary with the dynamical system? b) How often do Lyapunov exponents vanish?For the entire collection see [Zbl 1048.37003]. Reviewer: Messoud A. Efendiev (Berlin) Cited in 1 Document MSC: 37C40 Smooth ergodic theory, invariant measures for smooth dynamical systems 37D25 Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) 37D20 Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) 37A20 Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations 37J10 Symplectic mappings, fixed points (dynamical systems) (MSC2010) Keywords:Lyapunov exponents; volume-preserving systems; symplectic mappings; cocycles; hyperbolic system; generic dynamical system PDFBibTeX XMLCite \textit{J. Bochi} and \textit{M. Viana}, in: Dynamical systems. Part II. Topological, geometrical and ergodic properties of dynamics. Selected papers from the Research Trimester held in Pisa, Italy, February 4--April 26, 2002. Pisa: Scuola Normale Superiore. 23--47 (2003; Zbl 1070.37014)