THE LAST TEN YEARS OF THE MIXMASTER MODEL

From the first analyses of BKL and Misner, the Mixmaster model has attracted a lot of interest because of its intrinsic complexity and physical relevance. After a brief description of the ideas and of the formalisms of these classical works, we present a review of the latest developments and results, mainly dealing with the dynamical properties of such a cosmological model. In particular we will discuss some crucial questions concerning the definition of chaos with respect to the Mixmaster model and present the main results obtained over the last ten years.