Times of occurences of rare events (and other hyperbolic-like behaviours in non uniformly hyperbolic systems).

• Grant number: 96/04860-7
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: October 01, 1996
• End date: September 30, 1998
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Xavier Bernard Bressaud
• Grantee: Xavier Bernard Bressaud
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 95/00790-1 - Critical Phenomena are Present in Many Situations in Different Areas, AP.TEM

Abstract

Let (X,T,m) be a dynamical system and (Fk) a Family of events in Xdescibing a rare event. The convergence to anexponential law (askk tends to infinity) of the law of the (correct renormalized) times of occurences of these events is a somewhat typical prop (AU)