  The chaoticity of the Mixmaster is discussed in the framework of Statistical
Mechanics by using Misner--Chitre-like variables and an ADM reduction of its
dynamics. We show that such a system is well described by a microcanonical
ensemble whose invariant measure is induced by the corresponding Liouville one
and is uniform. The covariance with respect to the choice of the temporal gauge
of the obtained invariant measure is outlined.
