[CvGmt News] Colloquio De Giorgi:

[Giulia Curciarello]

Giovedì 8 maggio 2003, alle ore 15:00 in Aula Mancini,
Prof. Yakov Pesin - Pennsylvania State University - 
"Is chaotic behavior typical among dynamical systems?"
Abstract: 
The hyperbolic theory of dynamical systems provides a mathematical foundation for the paradigm that is widely known as "deterministic chaos" --
the appearance of irregular chaotic motions in purely deterministic dynamical
systems. This phenomenon is considered as one of the most fundamental
discoveries in the theory of dynamical systems in the second part of the last
century. The hyperbolic behavior can be interpreted in various ways and the
weakest one is associated with dynamical systems with non-zero Lyapunov
exponents.
I will discuss some recent progress in the still-open problem of whether
dynamical systems with non-zero Lyapunov exponents are typical. I will also
outline some relations between this problem and recent advances in the
Pugh-Shub stable ergodicity theory.
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