Measures of dependence: application to one-dimensional dynamical systems

Clémentine Prieur 1, 2
1 MOISE - Modelling, Observations, Identification for Environmental Sciences
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
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.
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Contributor : Clémentine Prieur <>
Submitted on : Friday, February 22, 2013 - 9:12:21 AM
Last modification on : Wednesday, April 11, 2018 - 1:58:14 AM


  • HAL Id : hal-00793323, version 1



Clémentine Prieur. Measures of dependence: application to one-dimensional dynamical systems. 13th Brazilian school of probability, Aug 2009, São Sabastião, Brazil. ⟨hal-00793323⟩



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