17/02/2000, 17:00 — 18:00 — Amphitheatre Pa1, Mathematics Building
Marcelo Viana, IMPA, Rio de Janeiro
Chaotic Dynamical Systems: a Probabilistic Viewpoint
The evolution of systems in Nature is, quite often, sensitive with respect to the initial data: small inaccuracies in the determination of the initial position give rise to gross errors in the long run. Does that mean that there is no hope to be able to understand and predict the evolution of such systems? Several recent developments indicate that, on the contrary, many chaotic systems admit a rich and rather complete description, in probabilistic terms. Building on this, one dares hope to develop a general theory for chaotic dynamics...