Invited Speaker - Clémentine Prieur (Grenoble 1)
Title:Measures of dependence :
application to one-dimensional dynamical systems.
Abstract:Even a simple and deterministic dynamical system may behave "impredictably". One says
that the system presents a "chaotic" behavior. Choosing two initial conditions close to
each other, one may observe, after a finite time, two orbits which are totally diferent. This
motivates the study of the statistical properties of dynamical systems. We will introduce
in this talk several measures of dependence  which will allow to derive interesting
stochastic properties for two classes of one-dimensional expanding dynamical systems
 Dedecker J. and Prieur C. (2005). New dependence coefficients. Examples and applications to statistics.
Probab. Theory and Relat. Fields 132, p. 203-236.
 Dedecker J. and Prieur C. (2008). Some unbounded functions of
intermittent maps for which the central limit theorem holds. ALEA 5, p. 29-45.
 Prieur C. (2006). Recent results on weak dependence for causal
sequences, Statistical applications and dynamical systems' example.
Lecture Notes in Stat. 187, p. 87-104.
NUMEC - USP, São Paulo, Brasil, 2009 - Designer: Sara Müller