×

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].

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)
PDFBibTeX XMLCite